tag:blogger.com,1999:blog-29452797613284178522024-03-13T11:12:47.276+02:00Gimnastica MentalaGimnastica Mentala cu Teste Matematica, Logica, Perspicacitate.
Exercitii Gandire. Tutoriale si Strategii Rezolvare Probleme. Calculatoare. Jocuri Gratis Online. Aplicatii Gratuite.Unknownnoreply@blogger.comBlogger338125tag:blogger.com,1999:blog-2945279761328417852.post-54191656142402683802024-01-14T14:57:00.009+02:002024-01-14T16:52:18.586+02:00Patrat Magic 3x3 Puzzle Joc online Pdf Generator <div class="IntroTr">Joc de logica educativ, Pătratul Magic 3x3 Puzzle gratuit. Fa gimnastica mentala si joacă online umpland pătratul magic 3x3 cu toate numerele de la 1 la 9. <img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5hT72q6blObYYpA1_r6zql3kp-HgmKWegbOtPRjN35y6lVIUce8tqjvHRfr7DVa_UswYBOzSDlJVbKL8l-kNegjDkt7V8Z_UXij7L_ovrsG4_SGkWGDOIl4UC9Fmz7O9Dheh8R_ZZHvExKl2Ph_5793wR4zh9s0CCXJX3u5QuVU2GSIsc5vUKcK_4hFo/s320/patrat%20magic.png"/> Rezolvă un pătrat magic sau generează pătrate magice 3x3 și descarca PDF. Jocuri matematice de societate , atenție, recreere, reflecție educațională pentru copii și adulți. Invata cum să rezolvi pătratul magic de 3x3.</div>
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/jspdf/1.5.3/jspdf.min.js"></script>
<style>
#MagCont {
font-family: 'Helvetica Neue', Arial, sans-serif;
color: #333;
padding: 20px;
margin: 20px auto;
max-width: 600px;
border-radius: 8px;
box-shadow: 0 0 10px rgba(0, 0, 0, 0.1);
text-align: center; /* Centrare conținut orizontal */
}
#MagCont button {
background-color: #3498db;
color: #fff;
padding: 10px 15px;
margin: 5px;
border: none;
border-radius: 5px;
cursor: pointer;
font-size: 14px;
}
#MagCont button:hover {
background-color: #2980b9;
}
#MagCont p {
margin-bottom: 10px;
}
#MagCont input {
width: 50px;
height: 50px;
text-align: center;
font-size: 16px;
margin: 2px;
border: 1px solid #ccc;
border-radius: 4px;
}
#MagCont #timer {
color: #e74c3c;
font-weight: bold;
}
#MagCont input[type="radio"] {
margin-right: 5px;
}
#magicSquare {
margin: 0 auto;
}
#MagCont input[type="radio"] {
width: 12px;
height: 12px;
position: relative;
cursor: pointer;
}
</style>
<div id="MagCont">
<h2>Puzzle Pătrat Magic</h2>
<button onclick="startGame()">Puzzle Nou</button>
<button onclick="checkSolution()">Verificare</button>
<button onclick="saveAsPDF()">Salvare PDF</button>
<p id="timer">Timp rămas: <span id="countdown"></span></p>
<p>Selectați Nivelul de Dificultate:</p>
<label><input type="radio" name="difficulty" value="2" checked> Ușor</label>
<label><input type="radio" name="difficulty" value="4"> Mediu</label>
<label><input type="radio" name="difficulty" value="6"> Dificil</label>
<table id="magicSquare"></table>
</div>
<script>
let magicSquares = [
[[8, 1, 6], [3, 5, 7], [4, 9, 2]],
[[6, 7, 2], [1, 5, 9], [8, 3, 4]],
[[2, 9, 4], [7, 5, 3], [6, 1, 8]],
[[4, 3, 8], [9, 5, 1], [2, 7, 6]],
[[6, 1, 8], [7, 5, 3], [2, 9, 4]],
[[2, 7, 6], [9, 5, 1], [4, 3, 8]],
[[4, 9, 2], [3, 5, 7], [8, 1, 6]],
[[8, 3, 4], [1, 5, 9], [6, 7, 2]]
];
let currentSquare = [];
let countdown;
function startGame() {
let difficulty = document.querySelector('input[name="difficulty"]:checked').value;
let cellsToEmpty = parseInt(difficulty);
currentSquare = JSON.parse(JSON.stringify(magicSquares[Math.floor(Math.random() * magicSquares.length)]));
while (cellsToEmpty > 0) {
let row = Math.floor(Math.random() * 3);
let col = Math.floor(Math.random() * 3);
if (currentSquare[row][col] !== '') {
currentSquare[row][col] = '';
cellsToEmpty--;
}
}
displaySquare();
startTimer(30);
}
function displaySquare() {
let table = document.getElementById('magicSquare');
table.innerHTML = '';
for (let i = 0; i < 3; i++) {
let row = table.insertRow(i);
for (let j = 0; j < 3; j++) {
let cell = row.insertCell(j);
let input = document.createElement('input');
input.type = 'text';
input.value = currentSquare[i][j];
input.setAttribute('oninput', 'validateInput(this)');
input.disabled = (currentSquare[i][j] !== ''); // Dezactivare celule ne-goale
cell.appendChild(input);
}
}
}
function validateInput(input) {
input.value = input.value.replace(/[^1-9]/g, ''); // Se permite doar numere de la 1 la 9
}
function startTimer(seconds) {
clearInterval(countdown);
let timerDisplay = document.getElementById('countdown');
let endTime = new Date().getTime() + seconds * 1000;
function updateTimer() {
let currentTime = new Date().getTime();
let remainingTime = Math.max(0, endTime - currentTime);
let remainingSeconds = Math.floor(remainingTime / 1000);
if (remainingSeconds === 0) {
clearInterval(countdown);
disableInputs();
alert('Timpul a expirat! Încercați din nou.');
}
let minutes = Math.floor(remainingSeconds / 60);
let seconds = remainingSeconds % 60;
timerDisplay.textContent = `${minutes}:${seconds < 10 ? '0' : ''}${seconds}`;
}
countdown = setInterval(updateTimer, 1000);
updateTimer();
}
function disableInputs() {
let inputs = document.querySelectorAll('#magicSquare input');
inputs.forEach(input => {
input.disabled = true;
});
}
function checkSolution() {
let userInput = [];
let inputs = document.querySelectorAll('#magicSquare input');
inputs.forEach(input => {
userInput.push(parseInt(input.value) || 0);
});
let isCorrect = true;
// Verificare fiecare rând, coloană și diagonală
for (let i = 0; i < 3; i++) {
let rowSum = 0;
let colSum = 0;
for (let j = 0; j < 3; j++) {
rowSum += userInput[i * 3 + j];
colSum += userInput[j * 3 + i];
}
if (rowSum !== 15 || colSum !== 15) {
isCorrect = false;
break;
}
}
// Verificare diagonală principală
let mainDiagonalSum = userInput[0] + userInput[4] + userInput[8];
if (mainDiagonalSum !== 15) {
isCorrect = false;
}
// Verificare diagonală secundară
let antiDiagonalSum = userInput[2] + userInput[4] + userInput[6];
if (antiDiagonalSum !== 15) {
isCorrect = false;
}
if (isCorrect) {
clearInterval(countdown);
alert('Felicitări! Ați rezolvat puzzle-ul pătrat magic.');
} else {
alert('Scuze, soluția nu este corectă. Încercați din nou.');
}
}
function saveAsPDF() {
let doc = new jsPDF();
doc.text('Puzzle Pătrat Magic', 15, 15);
let inputs = document.querySelectorAll('#magicSquare input');
let tableData = [];
inputs.forEach((input, index) => {
let row = Math.floor(index / 3);
let col = index % 3;
if (!tableData[row]) {
tableData[row] = [];
}
tableData[row][col] = input.value || '';
});
const colWidth = 50;
const rowHeight = 30;
doc.setDrawColor(0);
doc.setFillColor(200, 220, 255);
doc.setFontSize(12);
doc.setFontStyle('bold');
tableData[0].forEach((_, col) => {
doc.rect(15 + col * colWidth, 30, colWidth, rowHeight, 'S');
doc.text(15 + col * colWidth + colWidth / 2, 40, 'Coloana ' + (col + 1), null, null, 'center');
});
doc.setFontStyle('normal');
tableData.forEach((row, rowIndex) => {
row.forEach((cell, colIndex) => {
doc.rect(15 + colIndex * colWidth, 30 + (rowIndex + 1) * rowHeight, colWidth, rowHeight, 'S');
doc.text(15 + colIndex * colWidth + colWidth / 2, 40 + (rowIndex + 1) * rowHeight, cell, null, null, 'center');
});
});
doc.save('puzzle_patrat_magic.pdf');
}
startGame();
</script>
Sumele numerelor din fiecare rând, fiecare coloană și fiecare diagonală trebuie să fie egale cu 15.
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-71772131261896633032023-10-29T23:32:00.011+02:002023-10-29T23:39:34.105+02:00Litere Amestecate Joc - Gasire Cuvant Joc cu litere amestecate. Descifrare Cuvinte din literele amestecate. Anagrame in limba romana.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Litere Amestecate</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Un joc foarte distractiv în care jucătorul trebuie să aranjeze sau sa rearanjeze literele pentru a (re)crea cuvinte. Fa gimnastica mentala si gaseste cuvantul corect din cat mai putine incercari. Gaseste cuvantul este un ca un joc de anagrame.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOWWk832VvRav_ZJ5CxKh-tYy69DLa6je7c0iA2A0VR7u5pEa018i3dX3dMwM489JfqGHMmxgPaxq5pduEJSvFsLCxq7Mpw1UH_Vnvz7AnwyDbP66yLnPkY-LngeSBruWVMjhHOQFI8mFXjwfEWfwtJd19ec_c34ZCyo8rgNPJDADtJWVg13rD9-beHhA/s486/litere%20amestecate.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="320" data-original-height="284" data-original-width="486" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOWWk832VvRav_ZJ5CxKh-tYy69DLa6je7c0iA2A0VR7u5pEa018i3dX3dMwM489JfqGHMmxgPaxq5pduEJSvFsLCxq7Mpw1UH_Vnvz7AnwyDbP66yLnPkY-LngeSBruWVMjhHOQFI8mFXjwfEWfwtJd19ec_c34ZCyo8rgNPJDADtJWVg13rD9-beHhA/s320/litere%20amestecate.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<style>
#ContScr {
margin: 20px;
padding: 20px;
border-radius: 10px;
box-shadow: 0 0 10px rgba(0, 0, 0, 0.1);
text-align: center;
}
#ContScr p {
color: #555;
}
#ContScr #scrambled-word {
user-select: none;
font-size: 33px;
font-weight: 500;
text-align: center;
letter-spacing: 8px;
margin-right: -24px;
word-break: break-all;
text-transform: uppercase;
}
#ContScr input[type="text"] {
padding: 8px;
margin: 10px 0;
width: 200px;
border: 1px solid #ccc;
border-radius: 5px;
font-size: 24px;
padding-left: 14px;
display:inline;
}
#ContScr button {
padding: 8px 20px;
margin: 5px;
border: none;
border-radius: 5px;
cursor: pointer;
background-color: #4CAF50;
color: white;
}
#ContScr button:hover {
background-color: #45a049;
}
#ContScr #new-game-button {
background-color: #3498db;
display: none;
margin-left:20px;
}
#ContScr #message {
color: #f00;
font-weight: bold;
}
#ContScr #attempts {
font-style: italic;
margin-top: 20px;
}
@media (max-width: 600px) {
#ContScr {
margin: 1px;
padding: 5px;
}
#ContScr #scrambled-word {
font-size: 18px;
}
#ContScr input[type="text"] {
width: 90%;
}
}
</style>
<div id="ContScr">
<p>Încercați să ghiciți cuvântul:</p>
<div id="scrambled-word"></div>
<input type="text" id="guess-input" placeholder="????">
<button id="guess-button">Ghiciți</button>
<button id="clear-button">Ștergeți</button>
<p id="message"></p>
<p id="attempts"></p>
<button id="new-game-button" style="display: none;">Joc Nou</button>
</div>
<script>
const words = [ "caine", "pisica", "leu", "elefant", "tigru", "urs", "vultur", "bufnita", "foca", "delfin", "floare", "copac", "iarba", "trandafir", "crin", "cactus", "stejar", "tufa", "liliac", "musetel", "bucuresti", "cluj", "iasi", "brasov", "timisoara", "sibiu", "oradea", "arad", "constanta", "ploiesti", "masa", "scaun", "pat", "canapea", "ceas", "televizor", "frigider", "lampa", "masa", "pahar", "lalea", "margareta", "garoafa", "zambila", "vase", "farfurie", "lingura", "tigaie", "oglinda", "perna", "ceasca", "telefon", "geanta", "carte", "notebook", "calculator", "ochelari", "masina", "bicicleta", "motor", "tramvai", "avion", "martisor", "ghiozdan", "creion", "hartie", "sticla", "papuci", "sandale", "ochi", "nas", "gura", "mana", "picior", "cap", "inima", "stomac", "sange", "ficat", "creier", "lung", "spate", "genunchi", "deget", "unghie", "piele", "muschi", "zambet", "plans" ];
let randomWord;
let maxTries;
let remainingAttempts;
function startNewGame() {
randomWord = words[Math.floor(Math.random() * words.length)];
if (randomWord.length <= 3) {
maxTries = 2;
} else if (randomWord.length <= 5) {
maxTries = 3;
} else {
maxTries = 4;
}
remainingAttempts = maxTries;
document.getElementById("attempts").textContent = "Încercări rămase: " + remainingAttempts;
document.getElementById("new-game-button").style.display = "none";
document.getElementById("guess-input").value = "";
document.getElementById("guess-input").disabled = false;
document.getElementById("guess-button").disabled = false;
let scrambledWord = scrambleWord(randomWord);
document.getElementById("scrambled-word").textContent = scrambledWord;
document.getElementById("message").textContent = "";
document.getElementById("guess-input").focus();
}
function scrambleWord(word) {
let scrambled = word.split('');
for (let i = scrambled.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
[scrambled[i], scrambled[j]] = [scrambled[j], scrambled[i]];
}
return scrambled.join('');
}
function updateAttempts() {
remainingAttempts--;
document.getElementById("attempts").textContent = "Încercări rămase: " + remainingAttempts;
}
document.getElementById("clear-button").addEventListener("click", function () {
document.getElementById("guess-input").value = "";
document.getElementById("guess-input").focus();
});
document.getElementById("guess-button").addEventListener("click", function () {
updateAttempts();
if (remainingAttempts >= 0) {
const guess = document.getElementById("guess-input").value.toLowerCase();
if (guess === randomWord) {
document.getElementById("message").textContent = "Corect! Ați ghicit cuvântul!";
document.getElementById("new-game-button").style.display = "block";
document.getElementById("guess-input").disabled = true;
document.getElementById("guess-button").disabled = true;
} else {
document.getElementById("message").textContent = "Incorect. Încercați din nou.";
if (remainingAttempts === 0) {
document.getElementById("message").textContent = "Fără încercări rămase. Cuvântul era '" + randomWord + "'.";
document.getElementById("new-game-button").style.display = "block";
document.getElementById("guess-input").disabled = true;
document.getElementById("guess-button").disabled = true;
}
}
}
});
document.getElementById("new-game-button").addEventListener("click", startNewGame);
startNewGame();
</script>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-79958143581451671172023-10-29T17:30:00.011+02:002023-10-29T17:54:10.768+02:00Judete si Localități Ro Joc Ghicire Cuvant Joc de ghicire: localitati, orase, judete din Romania.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Joc Judete/Orase Ro</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Vezi cate judete, localitati si orase din Romania cunosti!
Relaxare online, Gimnastica Mentala si test Cultura Generala. Testare in joc cunostine generale.
<div class="separator" style="clear: both;"><a href="https://gimnasticamentala.blogspot.com/2023/10/capitalele-europei-joc-ghiceste-cuvantul.html" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="320" data-original-height="253" data-original-width="404" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2Zz4WUYn1l5gnKZOd_RwFOQDc0F9W4Bfcf3VrzdWluxlxtiVBY7doXN_6XUr5E2rm0wMzotQjOv26mAhsyeJcjNuAvjBYRhuFz0KXI0zS8oCPW220oSKWC1-gh-YJrh-eDsdzyrrmkE3i16QvJTD8umbfpFZwqep5KiZ82RmXaI4Z8RH-76KkyexeejQ/s320/judete%20ro.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center>
<div id="GhiciG">
<p>Ghiceste Județ, Oraș sau Localitate din România :</p>
<div id="word-container">
</div>
<div id="input-container">
<p>Incercari ramase: <span id="guesses">10</span></p>
<input type="text" id="guess-input" placeholder="?">
<button id="guess-button">Verfica</button>
<p>Litere gresite : <span id="wrong-guesses"></span></p>
</div>
<p id="message"></p>
<button id="play-again" style="display: none">Joc Nou</button>
</div>
<script>
const words = [
"Bucuresti", "Cluj-Napoca", "Timisoara", "Iasi", "Brasov", "Constanta", "Craiova", "Galati", "Ploiesti", "Oradea",
"Arad", "Sibiu", "Bacau", "Targu-Mures", "Baia-Mare", "Buzau", "Satu-Mare", "Braila", "Pitesti", "Arges",
"Orastie", "Targoviste", "Piatra-Neamt", "Ramnicu-Valcea", "Suceava", "Focsani", "Botosani", "Alba-Iulia", "Drobeta-Turnu-Severin",
"Targu-Jiu", "Deva", "Slatina", "Tulcea", "Sfantu-Gheorghe", "Miercurea-Ciuc", "Targu-Secuiesc", "Hunedoara", "Vaslui", "Giurgiu",
"Ramnicu-Sarat", "Zalau", "Sacele", "Bistrita", "Roman", "Reghin", "Sighetu-Marmatiei", "Targu-Neamt", "Campulung-Moldovenesc",
"Sacueni", "Gherla", "Odorheiu-Secuiesc", "Petrosani", "Moreni", "Caracal", "Calarasi", "Cernavoda", "Aiud", "Reghin",
"Buftea", "Cugir", "Comanesti", "Calan", "Talmaciu", "Petrila", "Rovinari", "Darabani", "Vicovu-de-Sus", "Negresti-Oas",
"Lupeni", "Mangalia", "Sighetu-Marmatiei", "Alba", "Arad", "Arges", "Bacau", "Bihor", "Bistrita-Nasaud", "Botosani", "Braila", "Brasov", "Bucuresti",
"Calarasi", "Caras-Severin", "Cluj", "Constanta", "Covasna", "Dambovita", "Dolj", "Galati", "Giurgiu", "Gorj",
"Harghita", "Hunedoara", "Ialomita", "Iasi", "Ilfov", "Maramures", "Mehedinti", "Mures", "Neamt", "Olt",
"Prahova", "Salaj", "Satu-Mare", "Sibiu", "Suceava", "Teleorman", "Timis", "Tulcea", "Valcea", "Vaslui",
"Vrancea", "Caras-Severin", "Cluj", "Constanta", "Covasna", "Dambovita", "Dolj", "Galati", "Giurgiu", "Gorj",
"Harghita", "Hunedoara", "Ialomita", "Iasi", "Ilfov", "Maramures", "Mehedinti", "Mures", "Neamt", "Olt",
"Prahova", "Salaj", "Satu-Mare", "Sibiu", "Suceava", "Teleorman", "Timis", "Tulcea", "Valcea", "Vaslui",
"Vrancea"
]
let wordToGuess = "";
let guessedWord = [];
let remainingGuesses = 10;
const wrongGuesses = [];
const wordContainer = document.getElementById("word-container");
const guessesDisplay = document.getElementById("guesses");
const wrongGuessesDisplay = document.getElementById("wrong-guesses");
const guessInput = document.getElementById("guess-input");
const guessButton = document.getElementById("guess-button");
const messageDisplay = document.getElementById("message");
const playAgainButton = document.getElementById("play-again");
function loadRandomWord() {
wordToGuess = words[Math.floor(Math.random() * words.length)];
guessedWord = Array(wordToGuess.length).fill("_");
remainingGuesses = Math.min(wordToGuess.length, 10);
wrongGuesses.length = 0;
guessesDisplay.textContent = remainingGuesses;
wrongGuessesDisplay.textContent = "";
wordContainer.textContent = guessedWord.join(" ");
messageDisplay.textContent = "";
guessButton.disabled = false;
guessInput.disabled = false;
playAgainButton.style.display = "none";
}
loadRandomWord();
guessButton.addEventListener("click", () => {
const guess = guessInput.value.toLowerCase();
if (guess.length === 1) {
const indices = [];
for (let i = 0; i < wordToGuess.length; i++) {
if (wordToGuess[i].toLowerCase() === guess) {
indices.push(i);
}
}
if (indices.length > 0) {
for (const index of indices) {
guessedWord[index] = wordToGuess[index];
}
wordContainer.textContent = guessedWord.join(" ");
guessInput.value = "";
if (guessedWord.join("") === wordToGuess) {
messageDisplay.innerHTML = "🏆 Felicitari! 🏆 ";
guessButton.disabled = true;
guessInput.disabled = true;
playAgainButton.style.display = "block";
}
} else {
remainingGuesses--;
guessesDisplay.textContent = remainingGuesses;
wrongGuesses.push(guess);
wrongGuessesDisplay.textContent = wrongGuesses.join(", ");
guessInput.value = "";
if (remainingGuesses === 0) {
messageDisplay.textContent = "Joc Terminat. Cuvantul era: " + wordToGuess;
guessButton.disabled = true;
guessInput.disabled = true;
playAgainButton.style.display = "block";
}
}
} else {
messageDisplay.textContent = "Te rog sa introduci o singura litera pentru ghicire.";
}
});
playAgainButton.addEventListener("click", () => {
loadRandomWord();
});
</script> </center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-88541949386085390342023-10-29T12:33:00.028+02:002023-10-29T17:24:49.803+02:00Capitalele Europei - Joc Ghiceste Cuvantul Joc online de Ghicit capitala unei tari din Europa.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Joc Capitale Eu</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Cate capitale din Europa cunosti? Relaxare, Gimnastica Mentala si test Cultura Generala. Testare in joc cunostine de geografie europeana.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPdCkRTMzJcFP4TZ9DcAzFicaHhGrACpj7H52Kfs0H34s2BT5S5FdiXzoOOYXJZrYHksJSJNVkJybO0S0gSNbHs2P4wOLYuGhyMHCOqqL0_QJuPNMyvgRpi3VW80_a04o_IpzfSvH8Atk4YyoBtDjxV_QfKpRAV2HrfHpP7TtqBnlfw2MZ0ew_IysMwzI/s411/ghici%20capitala%20eu.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="200" data-original-height="360" data-original-width="411" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjPdCkRTMzJcFP4TZ9DcAzFicaHhGrACpj7H52Kfs0H34s2BT5S5FdiXzoOOYXJZrYHksJSJNVkJybO0S0gSNbHs2P4wOLYuGhyMHCOqqL0_QJuPNMyvgRpi3VW80_a04o_IpzfSvH8Atk4YyoBtDjxV_QfKpRAV2HrfHpP7TtqBnlfw2MZ0ew_IysMwzI/s200/ghici%20capitala%20eu.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center>
<div id="GhiciG">
<p>Ghiceste Capitala Europei:</p>
<div id="word-container">
</div>
<div id="input-container">
<p>Incercari ramase: <span id="guesses">10</span></p>
<input type="text" id="guess-input" placeholder="?">
<button id="guess-button">Verfica</button>
<p>Litere gresite : <span id="wrong-guesses"></span></p>
</div>
<p id="message"></p>
<button id="play-again" style="display: none">Joc Nou</button>
</div>
<script>
const words = ["Tirana", "Andorra la Vella", "Viena", "Minsk", "Bruxelles", "Sarajevo", "Sofia", "Zagreb", "Nicosia", "Praga", "Copenhaga", "Tallinn", "Helsinki", "Paris", "Tbilisi", "Berlin", "Atena", "Budapesta", "Reykjavik", "Dublin", "Roma", "Riga", "Vaduz", "Vilnius", "Luxemburg", "Skopje", "Chisinau", "Monaco", "Podgorica", "Amsterdam", "Oslo", "Varșovia", "Lisabona", "București", "Moscova", "Belgrad", "Bratislava", "Ljubljana", "Madrid", "Stockholm", "Bern", "Kiev", "Londra", "Edinburgh", "Cardiff", "Belfast"]
let wordToGuess = "";
let guessedWord = [];
let remainingGuesses = 10;
const wrongGuesses = [];
const wordContainer = document.getElementById("word-container");
const guessesDisplay = document.getElementById("guesses");
const wrongGuessesDisplay = document.getElementById("wrong-guesses");
const guessInput = document.getElementById("guess-input");
const guessButton = document.getElementById("guess-button");
const messageDisplay = document.getElementById("message");
const playAgainButton = document.getElementById("play-again");
function loadRandomWord() {
wordToGuess = words[Math.floor(Math.random() * words.length)];
guessedWord = Array(wordToGuess.length).fill("_");
remainingGuesses = Math.min(wordToGuess.length, 10);
wrongGuesses.length = 0;
guessesDisplay.textContent = remainingGuesses;
wrongGuessesDisplay.textContent = "";
wordContainer.textContent = guessedWord.join(" ");
messageDisplay.textContent = "";
guessButton.disabled = false;
guessInput.disabled = false;
playAgainButton.style.display = "none";
}
loadRandomWord();
guessButton.addEventListener("click", () => {
const guess = guessInput.value.toLowerCase();
if (guess.length === 1) {
const indices = [];
for (let i = 0; i < wordToGuess.length; i++) {
if (wordToGuess[i].toLowerCase() === guess) {
indices.push(i);
}
}
if (indices.length > 0) {
for (const index of indices) {
guessedWord[index] = wordToGuess[index];
}
wordContainer.textContent = guessedWord.join(" ");
guessInput.value = "";
if (guessedWord.join("") === wordToGuess) {
messageDisplay.textContent = "Felicitari! Ai ghicit cuvantul!";
guessButton.disabled = true;
guessInput.disabled = true;
playAgainButton.style.display = "block";
}
} else {
remainingGuesses--;
guessesDisplay.textContent = remainingGuesses;
wrongGuesses.push(guess);
wrongGuessesDisplay.textContent = wrongGuesses.join(", ");
guessInput.value = "";
if (remainingGuesses === 0) {
messageDisplay.textContent = "Joc Terminat. Cuvantul era: " + wordToGuess;
guessButton.disabled = true;
guessInput.disabled = true;
playAgainButton.style.display = "block";
}
}
} else {
messageDisplay.textContent = "Te rog sa introduci o singura litera pentru ghicire.";
}
});
playAgainButton.addEventListener("click", () => {
loadRandomWord();
});
</script> </center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-91454102936611060782023-10-22T14:04:00.007+03:002023-11-27T23:17:35.510+02:00Joc X și O 2 Jucatori sau cu CalculatorJoc interactiv X si O ( Tic-tac-toe) in 2 doi jucători sau contra Calculatorului: Usor Si Dificil.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Joc X și O</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Joaca online X și O cunoscut și sub numele de Tic Tac Toe.Joc de puzzle clasic gratuit cu 3 Nivele: Nivel 1: 2 Jucatori; Nivel 2: Cu Calculatorul Usor; Nivel 3: Cu Calculatorul Dificil. Face parte din categoria de Jocuri de societate, logice si educativ pentru copii si adulti de relaxare si gimnastica mentala. Acest joc poate sa contribui la dezvoltare gandirea strategica.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKZDN_kUoTs_yMdu5y4xM19_bdRNgNW7CSQFKxpk0XmWRhbWj1l1V8qz6DnYMpZH9P4BdDeqi5gJUPhSB0uSTy4GfIO1vfalwOXdOfJr83ZlXJEnh7HdEgdsYo0z7C-7EdaDdaBMc8JKnUUgNdCE_WX79wQO8AZpMo1uH4hlaH8V2uaveNGSsr6feKR6M/s469/x%20si%200.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="200" data-original-height="351" data-original-width="469" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKZDN_kUoTs_yMdu5y4xM19_bdRNgNW7CSQFKxpk0XmWRhbWj1l1V8qz6DnYMpZH9P4BdDeqi5gJUPhSB0uSTy4GfIO1vfalwOXdOfJr83ZlXJEnh7HdEgdsYo0z7C-7EdaDdaBMc8JKnUUgNdCE_WX79wQO8AZpMo1uH4hlaH8V2uaveNGSsr6feKR6M/s200/x%20si%200.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center>
<style>
#ConTic {
font-family: Arial, sans-serif;
text-align: center;
}
#ConTic h1 {
color: #333;
}
#ConTic .board {
display: grid;
grid-template-columns: repeat(3, 100px);
grid-gap: 0;
margin: 20px auto;
align-items: center;
justify-content: center;
}
#ConTic .cell {
width: 100px;
height: 100px;
font-size: 2.8em;
border: 1px solid #333;
text-align: center;
vertical-align: middle;
line-height: 100px;
cursor: pointer;
font-family:courier;
font-weight:800;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
-o-user-select: none;
user-select: none;
}
#ConTic .cell:hover {
background-color: #ddd;
}
#ConTic #message {
font-size: 1.5em;
color: #333;
margin: 10px;
}
#ConTic select {
}
#ConTic button {
display: inline-block;
width: auto;
padding: 10px;
background-color: #0056b3;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ConTic button:hover {
background-color: #555;
}
</style>
<div id="ConTic">
<b id="message">Rândul Jucătorului X</b><br>
<label for="players">Selectați Jucătorii:</label>
<select id="players">
<option value="2">2 Jucători</option>
<option value="CE" selected>Cu Calculator Ușor</option>
<option value="CH">Cu Calculator Dificil</option>
</select>
<div class="board">
<div class="cell" onclick="makeMove(0, 0)"></div>
<div class="cell" onclick="makeMove(0, 1)"></div>
<div class="cell" onclick="makeMove(0, 2)"></div>
<div class="cell" onclick="makeMove(1, 0)"></div>
<div class="cell" onclick="makeMove(1, 1)"></div>
<div class="cell" onclick="makeMove(1, 2)"></div>
<div class="cell" onclick="makeMove(2, 0)"></div>
<div class="cell" onclick="makeMove(2, 1)"></div>
<div class="cell" onclick="makeMove(2, 2)"></div>
</div>
<button onclick="window.location.reload();">Joc Nou</button>
</div>
<script>
let currentPlayer = "X";
let board = [
["", "", ""],
["", "", ""],
["", "", ""]
];
let againstComputer = true;
let computerDifficulty = "CE";
document.getElementById("players").addEventListener("change", function() {
againstComputer = this.value !== "2";
computerDifficulty = this.value;
resetGame();
});
function makeMove(row, col) {
if (board[row][col] === "" && !checkWinner()) {
board[row][col] = currentPlayer;
const cell = document.getElementsByClassName("cell")[row * 3 + col];
cell.innerHTML = currentPlayer;
cell.style.color = currentPlayer === "X" ? "blue" : "red";
const winner = checkWinner();
if (!winner) {
currentPlayer = currentPlayer === "X" ? "O" : "X";
document.getElementById("message").innerHTML = `Rândul Jucătorului ${currentPlayer}`;
if (againstComputer && currentPlayer === "O") {
computerMove();
}
}
}
}
function checkWinner() {
let winner = null;
for (let i = 0; i < 3; i++) {
if (board[i][0] !== "" && board[i][0] === board[i][1] && board[i][1] === board[i][2]) {
winner = board[i][0];
}
}
for (let i = 0; i < 3; i++) {
if (board[0][i] !== "" && board[0][i] === board[1][i] && board[1][i] === board[2][i]) {
winner = board[0][i];
}
}
if (board[0][0] !== "" && board[0][0] === board[1][1] && board[1][1] === board[2][2]) {
winner = board[0][0];
}
if (board[0][2] !== "" && board[0][2] === board[1][1] && board[1][1] === board[2][0]) {
winner = board[0][2];
}
if (winner) {
document.getElementById("message").innerHTML = `Jucătorul ${winner} câștigă!`;
} else if (!board.flat().includes("")) {
document.getElementById("message").innerHTML = "Egalitate!";
winner = "egalitate";
}
return winner;
}
function resetGame() {
currentPlayer = "X";
board = [
["", "", ""],
["", "", ""],
["", "", ""]
];
const cells = document.getElementsByClassName("cell");
for (let i = 0; i < cells.length; i++) {
cells[i].innerHTML = "";
}
document.getElementById("message").innerHTML = `Rândul Jucătorului X`;
if (againstComputer && currentPlayer === "O") {
computerMove();
}
}
function computerMove() {
if (computerDifficulty === "CE") {
makeRandomMove();
} else if (computerDifficulty === "CH") {
const bestMove = minimax(board, currentPlayer);
makeMove(bestMove.row, bestMove.col);
}
}
function makeRandomMove() {
const emptyCells = [];
for (let i = 0; i < 3; i++) {
for (let j = 0; j < 3; j++) {
if (board[i][j] === "") {
emptyCells.push([i, j]);
}
}
}
if (emptyCells.length > 0) {
const randomIndex = Math.floor(Math.random() * emptyCells.length);
const [row, col] = emptyCells[randomIndex];
makeMove(row, col);
}
}
function minimax(board, player, depth) {
let bestMove;
let bestScore = -Infinity;
for (let i = 0; i < 3; i++) {
for (let j = 0; j < 3; j++) {
if (board[i][j] === "") {
board[i][j] = player;
const score = minimaxHelper(board, depth + 1, false);
board[i][j] = "";
if (score > bestScore) {
bestScore = score;
bestMove = { row: i, col: j };
}
}
}
}
return bestMove;
}
function minimaxHelper(board, depth, isMaximizing) {
const result = checkWinner();
if (result !== null) {
return result === "O" ? 1 : result === "X" ? -1 : 0;
}
if (isMaximizing) {
let bestScore = -Infinity;
for (let i = 0; i < 3; i++) {
for (let j = 0; j < 3; j++) {
if (board[i][j] === "") {
board[i][j] = "O";
const score = minimaxHelper(board, depth + 1, false);
board[i][j] = "";
bestScore = Math.max(score, bestScore);
}
}
}
return bestScore;
} else {
let bestScore = Infinity;
for (let i = 0; i < 3; i++) {
for (let j = 0; j < 3; j++) {
if (board[i][j] === "") {
board[i][j] = "X";
const score = minimaxHelper(board, depth + 1, true);
board[i][j] = "";
bestScore = Math.min(score, bestScore);
}
}
}
return bestScore;
}
}
</script>
</center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-55141892765719970852023-10-21T23:41:00.017+03:002023-10-22T14:17:12.529+03:00Generator de Numere AleatoriiGenerator de număr aleatoriu sau numere aleatorii: pozitive, negative, cu zecimale. Setare Interval inclusiv nr loto.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Numere Aleatorii</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Generator de Numere Aleatoare gratuit online. Generati nr aleatorii / random sau la intamplare intre 1-100, 0-49, sau orice interval doriti. Puteti genra numere pozitive, negative, cu sau fara zecimale. Intervale posibile: Interval cu numere pozitive, Interval cu numere negative, Interval cu numere pozitive și negative,
Puteti schimba setarile sa generati numere aleatoare pentru urmatoarea tragere Loto 6/49, loto 5/40 sau Joker.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQ-2LiObr8U7MkOS3Ng5LFTctgS5njvYI2nYKU_gs7KX1olLf_VZ7NdnDRbkkYsNQ0cvG1eq7hpWmC3P5oPvWqkx4qYylTzUJlu6ZJht9WIEbY7CMZmibEPBtsoRDIt5m4Qw6YRf9P0gFlzlcFm5xr9paAN8REyfWB8pypjlL9_xU6-kmWNRzJur4hE5c/s496/nr%20aleatoare.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="200" data-original-height="326" data-original-width="496" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQ-2LiObr8U7MkOS3Ng5LFTctgS5njvYI2nYKU_gs7KX1olLf_VZ7NdnDRbkkYsNQ0cvG1eq7hpWmC3P5oPvWqkx4qYylTzUJlu6ZJht9WIEbY7CMZmibEPBtsoRDIt5m4Qw6YRf9P0gFlzlcFm5xr9paAN8REyfWB8pypjlL9_xU6-kmWNRzJur4hE5c/s200/nr%20aleatoare.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center>
<style>
#ContRaNr {
max-width: 500px;
margin: 20px auto;
padding: 20px;
border: 1px solid #ccc;
border-radius: 5px;
box-shadow: 0 0 10px rgba(0, 0, 0, 0.1);
}
#ContRaNr h1 {
text-align: center;
font-size: 24px;
}
#ContRaNr label,
#ContRaNr select,
#ContRaNr input {
display: inline-block;
margin-right: 10px;
}
#ContRaNr input {
font-size:25px;
padding-left:12px
}
#ContRaNr button {
display: inline-block;
width: auto;
padding: 10px;
background-color: #007BFF;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ContRaNr button:hover {
background-color: #0056b3;
}
#ContRaNr #result {
font-weight: bold;
display: block;
padding: 10px 1px;
margin-top: 2px;
font-family:verdana;
font-size:145%;
border: solid 1px blue;
border-top: 0.3rem solid #ccc;
border-left: 0.3rem solid #ccc;
border-right: 0.3rem solid #787878;
border-bottom: 0.3rem solid #787878;
}
#ContRaNr .input-container {
display: flex;
justify-content: space-between;
align-items: center;
}
#ContRaNr .input-container input {
flex: 1;
margin-left: 5px;
}
</style>
<script>
var generatedNumbers = [];
function generateRandomNumbers() {
var numCount = parseInt(document.getElementById("numCount").value);
var numDecimals = parseInt(document.getElementById("numDecimals").value);
var minRange = parseFloat(document.getElementById("minRange").value);
var maxRange = parseFloat(document.getElementById("maxRange").value);
if (isNaN(numCount) || isNaN(numDecimals) || isNaN(minRange) || isNaN(maxRange)) {
alert("Vă rugăm să introduceți numere valide pentru toate câmpurile.");
return;
}
if (minRange > maxRange) {
var temp = minRange;
minRange = maxRange;
maxRange = temp;
}
var result = document.getElementById("result");
result.innerHTML = "";
generatedNumbers = [];
for (var i = 0; i < numCount; i++) {
var randomNumber;
do {
randomNumber = (Math.random() * (maxRange - minRange) + minRange).toFixed(numDecimals);
} while (generatedNumbers.includes(randomNumber));
generatedNumbers.push(randomNumber);
result.innerHTML += randomNumber;
if (i < numCount - 1) {
result.innerHTML += ", ";
}
}
}
function copyToClipboard() {
var result = document.getElementById("result");
var textArea = document.createElement("textarea");
textArea.value = result.textContent;
document.body.appendChild(textArea);
textArea.select();
document.execCommand("copy");
document.body.removeChild(textArea);
alert("Copiat în clipboard: " + result.textContent);
}
</script>
<div id="ContRaNr">
<label for="numCount">Set numărul de Nr aleatoare:</label>
<select id="numCount">
<option value="1">1</option>
<option value="2">2</option>
<option value="4" selected>4</option>
<option value="5">5</option>
<option value="6">6</option>
<option value="8">8</option>
<option value="10">10</option>
</select>
<label for="numDecimals">Selectați numărul de zecimale:</label>
<select id="numDecimals">
<option value="0" selected>0</option>
<option value="1">1</option>
<option value="2">2</option>
<option value="3">3</option>
<option value="4">4</option>
</select>
<div class="input-container">
<label for="minRange">Min Nr:</label>
<input type="number" id="minRange" value="-11">
</div>
<div class="input-container">
<label for="maxRange">Max Nr:</label>
<input type="number" id="maxRange" value="85">
</div>
<button onclick="generateRandomNumbers()">Generare</button>
<button onclick="copyToClipboard()">Copie Nr</button><br>
Numere Aleatorii: <span id="result"></span>
</div>
</center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com1tag:blogger.com,1999:blog-2945279761328417852.post-89375500728279968472023-10-21T11:12:00.005+03:002023-11-26T20:26:00.204+02:00Puzzle Glisant Numere Negative Joc Invata in joc numerele negative. Trebuie sa le aranjezi in ordine crescatoare.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Joc Nr Negative</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Numerele negative au întotdeauna în fața lor semnul minus, adica -. Numerele negative se folosesc la descriere valori mai mici decât zero. Exmple folosire Cifre negative : temperaturi, de ex −9 °C sau altitudine față de nivelul mării, de ex: -400m.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhFsoPvBKp_4cK0kfhbevSNMbu5IHe0C2aXdMyiTAEcSp6Kok_bZlWDIItKdVZeYWompK3aikE99GYk2aNo9fNHiOkAp258cV2saY0hdv-7usiGiAF9xuuSRs53B-b5e7SYejEu3Pgv7T_2I1RGxeoRYhnz3lqOb-CChKVxqBeV4VixruatOgxwTytzEU/s436/puzzle%20glisant%20negativ.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="320" data-original-height="287" data-original-width="436" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhFsoPvBKp_4cK0kfhbevSNMbu5IHe0C2aXdMyiTAEcSp6Kok_bZlWDIItKdVZeYWompK3aikE99GYk2aNo9fNHiOkAp258cV2saY0hdv-7usiGiAF9xuuSRs53B-b5e7SYejEu3Pgv7T_2I1RGxeoRYhnz3lqOb-CChKVxqBeV4VixruatOgxwTytzEU/s320/puzzle%20glisant%20negativ.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center>
<style>
#ContPuz{
text-align: center;
}
#ContPuz #puzzle-container {
display: grid;
grid-gap: 1px;
margin: 0 auto;
width: 300px;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
-o-user-select: none;
user-select: none;
}
#ContPuz .Tile {
width: 100px;
height: 100px;
background-color: ;
display: flex;
justify-content: center;
align-items: center;
font-size: 44px;
cursor: pointer;
font-family: verdana;
font-weight: bold;
border: solid 1px blue;
border-top: 0.3rem solid #ccc;
border-left: 0.3rem solid #ccc;
border-right: 0.3rem solid #787878;
border-bottom: 0.3rem solid #787878;
}
#ContPuz #movesnum {
font-size: 20px;
}
#ContPuz button {
font-size: 18px;
margin: 1px;
padding: 10px 20px;
background-color: #0074d9;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ContPuz button:hover {
background-color: #0056a3;
}
#ContPuz #newgame {
background-color: green;
}
#ContPuz #newgame:hover {
background-color: #0d600d;
}
#ContPuz .correct-position {
color: green;
}
</style>
<div id="ContPuz">
Mișcări: <b><span id="movesnum">0</span></b>
<div id="messageDiv"> </div>
<label for="pieces-select">Număr de Piese:</label>
<select id="pieces-select">
<option value="8">8 Piese</option>
<option value="15">15 Piese</option>
<option value="24">24 Piese</option>
</select>
<div id="puzzle-container"></div>
<button id="newgame" onclick="window.location.reload();">Joc Nou</button>
<button id="solveit">Rezolvă</button>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-glisant-joc-interactiv-online-3.html"><button >1,2</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-cu-litere-joc-glisant.html"><button >A,B</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-cu-cifre-romane-joc-glissant.html"><button >I,II</button></a>
</div>
<script>
var movesNum = 0;
var movescell = document.getElementById("movesnum");
var selectTwo = document.querySelector("#pieces-select");
var puzzleContainer = document.getElementById("puzzle-container");
var piecesSelect = document.getElementById("pieces-select");
var tiles = [];
var isPuzzleSolved = false;
var emptyRow, emptyCol;
var numRows, numCols;
function createPuzzle(numPieces) {
const tileStyles = {
"8": { tileSize: "100px", fontSize: "44px" },
"15": { tileSize: "80px", fontSize: "32px" },
"24": { tileSize: "60px", fontSize: "24px" }
};
if (numPieces === "8" || numPieces === "15" || numPieces === "24") {
numRows = Math.sqrt(parseInt(numPieces) + 1);
numCols = numRows;
}
puzzleContainer.innerHTML = "";
tiles = [];
for (let i = 1; i <= numRows; i++) {
for (let j = 1; j <= numCols; j++) {
if (i === numRows && j === numCols) {
emptyRow = i;
emptyCol = j;
} else {
const tile = document.createElement("div");
tile.classList.add("Tile");
const number = (i - 1) * numCols + j;
tile.innerText = -number;
tile.style.gridRow = i;
tile.style.gridColumn = j;
tile.style.width = tileStyles[numPieces].tileSize;
tile.style.height = tileStyles[numPieces].tileSize;
tile.style.fontSize = tileStyles[numPieces].fontSize;
puzzleContainer.appendChild(tile);
tiles.push(tile);
}
}
}
tiles.forEach(function (tile) {
tile.addEventListener("click", function () {
moveTile(this);
});
});
}
function shufflePuzzle() {
isPuzzleSolved = false;
movesNum = 0;
movescell.innerHTML = movesNum;
document.getElementById("messageDiv").innerHTML = "";
selectTwo.disabled = false;
for (let i = tiles.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
const tempGridRow = tiles[i].style.gridRow;
const tempGridCol = tiles[i].style.gridColumn;
tiles[i].style.gridRow = tiles[j].style.gridRow;
tiles[i].style.gridColumn = tiles[j].style.gridColumn;
tiles[j].style.gridRow = tempGridRow;
tiles[j].style.gridColumn = tempGridCol;
tiles[i].classList.remove("correct-position");
tiles[j].classList.remove("correct-position");
}
tiles[tiles.length - 1].classList.remove("correct-position");
}
piecesSelect.addEventListener("change", function () {
createPuzzle(this.value);
shufflePuzzle();
});
document.getElementById("newgame").addEventListener("click", shufflePuzzle);
function solvePuzzle() {
createPuzzle(piecesSelect.value);
tiles.sort(function (a, b) {
return parseInt(a.innerText) - parseInt(b.innerText);
});
tiles.forEach(function (tile, index) {
tile.style.gridRow = Math.floor(index / numCols) + 1;
tile.style.gridColumn = (index % numCols) + 1;
const correctRow = Math.floor((index / numCols) + 1);
const correctCol = (index % numCols) + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
});
movesNum = 0;
movescell.innerHTML = movesNum;
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
setTimeout(function() {
const message = `<h2> 🎉 Rezolvat! 🎉 Acum rezolvă singur puzzle-ul! </h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}, 100);
}
}
createPuzzle("8");
shufflePuzzle();
document.getElementById("solveit").addEventListener("click", solvePuzzle);
function moveTile(tile) {
if (isPuzzleSolved) {
return;
}
const tileRow = parseInt(tile.style.gridRow);
const tileCol = parseInt(tile.style.gridColumn);
if ((Math.abs(tileRow - emptyRow) === 1 && tileCol === emptyCol) ||
(Math.abs(tileCol - emptyCol) === 1 && tileRow === emptyRow)) {
tile.style.gridRow = emptyRow;
tile.style.gridColumn = emptyCol;
emptyRow = tileRow;
emptyCol = tileCol;
movesNum++;
movescell.textContent = movesNum;
const correctRow = Math.floor((parseInt(tile.innerText) - 1) / numCols) + 1;
const correctCol = (parseInt(tile.innerText) - 1) % numCols + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
}
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
const message = `<h2> 🎉 Felicitări! 🎉 Ai rezolvat puzzle-ul în ${movesNum} mutări! <br>Poți rezolva alt puzzle?</h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}
}
</script>
</center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-29812930088132976322023-10-21T10:56:00.007+03:002023-11-26T20:25:46.890+02:00Puzzle cu Cifre Romane Joc GlissantJoc de aranjare numere romane in ordine crescatoare. Puzzle Gratuit online.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Puzzle Nr Romane</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Numerele Romana de la 1 la 10: I, 1. II, 2. III, 3. IV, 4. V, 5. VI, 6. VII, 7. VIII, 8. IX, 9. X, 10. Cifrele romane de la 1 la o mie. Ele fac parte alfabetul limbii latine si sunt: I, V, X, L, C, D, M adica= 1, 5, 10, 50, 100, 500 și 1.000.
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlsOVIpzy15tLjKvaYMqSVTeirJpM4LncAmdDbn21rsE_Ipg_sPsCBP936ZRT44rVFPKIJ8MaESNm4UA1wZxNMNVqMgVjbe6omg-FqHXUmanmEfV1ix1c2ScSaCaoE27A2xw5Cam0r_SbGXm9Z_mDBDxOxAEtPROWkoShdMO9WXoVPv2BVeQYucrd6BCw/s401/puzzle%20glisant%20roman.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="320" data-original-height="234" data-original-width="401" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlsOVIpzy15tLjKvaYMqSVTeirJpM4LncAmdDbn21rsE_Ipg_sPsCBP936ZRT44rVFPKIJ8MaESNm4UA1wZxNMNVqMgVjbe6omg-FqHXUmanmEfV1ix1c2ScSaCaoE27A2xw5Cam0r_SbGXm9Z_mDBDxOxAEtPROWkoShdMO9WXoVPv2BVeQYucrd6BCw/s320/puzzle%20glisant%20roman.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center> <style>
#ContPuz{
text-align: center;
}
#ContPuz #puzzle-container {
display: grid;
grid-gap: 1px;
margin: 0 auto;
width: 300px;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
-o-user-select: none;
user-select: none;
}
#ContPuz .Tile {
width: 100px;
height: 100px;
background-color: ;
display: flex;
justify-content: center;
align-items: center;
font-size: 44px;
cursor: pointer;
font-family: verdana;
font-weight: bold;
border: solid 1px blue;
border-top: 0.3rem solid #ccc;
border-left: 0.3rem solid #ccc;
border-right: 0.3rem solid #787878;
border-bottom: 0.3rem solid #787878;
}
#ContPuz #movesnum {
font-size: 20px;
}
#ContPuz button {
font-size: 18px;
margin: 1px;
padding: 10px 20px;
background-color: #0074d9;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ContPuz button:hover {
background-color: #0056a3;
}
#ContPuz #newgame {
background-color: green;
}
#ContPuz #newgame:hover {
background-color: #0d600d;
}
#ContPuz .correct-position {
color: green;
}
</style>
<div id="ContPuz">
Mișcări: <b><span id="movesnum">0</span></b>
<div id="messageDiv"> </div>
<label for="pieces-select">Număr de Piese:</label>
<select id="pieces-select">
<option value="8">8 Piese</option>
<option value="15">15 Piese</option>
<option value="24">24 Piese</option>
</select>
<div id="puzzle-container"></div>
<button id="newgame" onclick="window.location.reload();">Joc Nou</button>
<button id="solveit">Rezolvă</button>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-glisant-joc-interactiv-online-3.html"><button >1,2</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-cu-litere-joc-glisant.html"><button >A,B</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-glisant-numere-negative-joc.html"><button >-1,-2</button></a>
</div>
<script>
var movesNum = 0;
var movescell = document.getElementById("movesnum");
var selectTwo = document.querySelector("#pieces-select");
var puzzleContainer = document.getElementById("puzzle-container");
var piecesSelect = document.getElementById("pieces-select");
var tiles = [];
var isPuzzleSolved = false;
var emptyRow, emptyCol;
var numRows, numCols;
function arabicToRoman(num) {
const romanNumerals = [
{ value: 1000, numeral: 'M' },
{ value: 900, numeral: 'CM' },
{ value: 500, numeral: 'D' },
{ value: 400, numeral: 'CD' },
{ value: 100, numeral: 'C' },
{ value: 90, numeral: 'XC' },
{ value: 50, numeral: 'L' },
{ value: 40, numeral: 'XL' },
{ value: 10, numeral: 'X' },
{ value: 9, numeral: 'IX' },
{ value: 5, numeral: 'V' },
{ value: 4, numeral: 'IV' },
{ value: 1, numeral: 'I' }
];
let result = '';
for (const pair of romanNumerals) {
while (num >= pair.value) {
result += pair.numeral;
num -= pair.value;
}
}
return result;
}
function createPuzzle(numPieces) {
const tileStyles = {
"8": { tileSize: "100px", fontSize: "34px" },
"15": { tileSize: "80px", fontSize: "22px" },
"24": { tileSize: "60px", fontSize: "14px" }
};
if (numPieces === "8" || numPieces === "15" || numPieces === "24") {
numRows = Math.sqrt(parseInt(numPieces) + 1);
numCols = numRows;
}
puzzleContainer.innerHTML = "";
tiles = [];
for (let i = 1; i <= numRows; i++) {
for (let j = 1; j <= numCols; j++) {
if (i === numRows && j === numCols) {
emptyRow = i;
emptyCol = j;
} else {
const tile = document.createElement("div");
tile.classList.add("Tile");
const number = (i - 1) * numCols + j;
tile.innerText = arabicToRoman(number);
tile.style.gridRow = i;
tile.style.gridColumn = j;
tile.style.width = tileStyles[numPieces].tileSize;
tile.style.height = tileStyles[numPieces].tileSize;
tile.style.fontSize = tileStyles[numPieces].fontSize;
puzzleContainer.appendChild(tile);
tiles.push(tile);
}
}
}
tiles.forEach(function (tile) {
tile.addEventListener("click", function () {
moveTile(this);
});
});
}
function shufflePuzzle() {
isPuzzleSolved = false;
movesNum = 0;
movescell.innerHTML = movesNum;
document.getElementById("messageDiv").innerHTML = "";
selectTwo.disabled = false;
for (let i = tiles.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
const tempGridRow = tiles[i].style.gridRow;
const tempGridCol = tiles[i].style.gridColumn;
tiles[i].style.gridRow = tiles[j].style.gridRow;
tiles[i].style.gridColumn = tiles[j].style.gridColumn;
tiles[j].style.gridRow = tempGridRow;
tiles[j].style.gridColumn = tempGridCol;
tiles[i].classList.remove("correct-position");
tiles[j].classList.remove("correct-position");
}
tiles[tiles.length - 1].classList.remove("correct-position");
}
piecesSelect.addEventListener("change", function () {
createPuzzle(this.value);
shufflePuzzle();
});
document.getElementById("newgame").addEventListener("click", shufflePuzzle);
function solvePuzzle() {
createPuzzle(piecesSelect.value);
tiles.sort(function (a, b) {
return parseInt(a.innerText) - parseInt(b.innerText);
});
tiles.forEach(function (tile, index) {
tile.style.gridRow = Math.floor(index / numCols) + 1;
tile.style.gridColumn = (index % numCols) + 1;
const correctRow = Math.floor((index / numCols) + 1);
const correctCol = (index % numCols) + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
});
movesNum = 0;
movescell.innerHTML = movesNum;
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
setTimeout(function() {
const message = `<h2> 🎉 Rezolvat! 🎉 Acum rezolvă singur puzzle-ul! </h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}, 100);
}
}
createPuzzle("8");
shufflePuzzle();
document.getElementById("solveit").addEventListener("click", solvePuzzle);
function moveTile(tile) {
if (isPuzzleSolved) {
return;
}
const tileRow = parseInt(tile.style.gridRow);
const tileCol = parseInt(tile.style.gridColumn);
if ((Math.abs(tileRow - emptyRow) === 1 && tileCol === emptyCol) ||
(Math.abs(tileCol - emptyCol) === 1 && tileRow === emptyRow)) {
tile.style.gridRow = emptyRow;
tile.style.gridColumn = emptyCol;
emptyRow = tileRow;
emptyCol = tileCol;
movesNum++;
movescell.textContent = movesNum;
const correctRow = Math.floor((parseInt(tile.innerText) - 1) / numCols) + 1;
const correctCol = (parseInt(tile.innerText) - 1) % numCols + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
}
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
const message = `<h2> 🎉 Felicitări! 🎉 Ai rezolvat puzzle-ul în ${movesNum} mutări! <br>Poți rezolva alt puzzle?</h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}
}
</script> </center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-23655436901648914442023-10-20T23:49:00.011+03:002023-11-26T20:24:15.323+02:00Puzzle cu Litere Joc GlisantPoti aranja literele in ordine alfabetica?
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Puzzle Litere</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Joaca gratuit acest Puzzle cu Litere. Joc Glisant cu 3 nivele de dificultate!
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUTJAK8VKcquBU8W2_O8FHI-wDwZh7rEZPgkeVtF16wQxf1Pa_yOTjoJHLoAdu_YYk-jSze89tJZKPt295cnC5Ptk7rGsSK5vMiIADaZJvk9Sl6njy82Y87Rk8ASRQQ7r_jVOAM0aKlclAIvSa69ayLsPEwlGXjaJAC1nw-bzhZcIFyXeicEbAYR6vmQM/s457/puzzle%20glisant%20litere.png" style="display: block; padding: 1em 0; text-align: center; "><img alt="" border="0" width="200" data-original-height="324" data-original-width="457" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUTJAK8VKcquBU8W2_O8FHI-wDwZh7rEZPgkeVtF16wQxf1Pa_yOTjoJHLoAdu_YYk-jSze89tJZKPt295cnC5Ptk7rGsSK5vMiIADaZJvk9Sl6njy82Y87Rk8ASRQQ7r_jVOAM0aKlclAIvSa69ayLsPEwlGXjaJAC1nw-bzhZcIFyXeicEbAYR6vmQM/s200/puzzle%20glisant%20litere.png"/></a></div>
</div>
<div class="tab-panel" id="tab2">
<center>
<style>
#ContPuz{
text-align: center;
}
#ContPuz #puzzle-container {
display: grid;
grid-gap: 1px;
margin: 0 auto;
width: 300px;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
-o-user-select: none;
user-select: none;
}
#ContPuz .Tile {
width: 100px;
height: 100px;
background-color: ;
display: flex;
justify-content: center;
align-items: center;
font-size: 44px;
cursor: pointer;
font-family: verdana;
font-weight: bold;
border: solid 1px blue;
border-top: 0.3rem solid #ccc;
border-left: 0.3rem solid #ccc;
border-right: 0.3rem solid #787878;
border-bottom: 0.3rem solid #787878;
}
#ContPuz #movesnum {
font-size: 20px;
}
#ContPuz button {
font-size: 18px;
margin: 1px;
padding: 10px 20px;
background-color: #0074d9;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ContPuz button:hover {
background-color: #0056a3;
}
#ContPuz #newgame {
background-color: green;
}
#ContPuz #newgame:hover {
background-color: #0d600d;
}
#ContPuz .correct-position {
color: green;
}
</style>
<div id="ContPuz">
Mișcări: <b><span id="movesnum">0</span></b>
<div id="messageDiv"> </div>
<label for="pieces-select">Număr de Piese:</label>
<select id="pieces-select">
<option value="8">8 Piese</option>
<option value="15">15 Piese</option>
<option value="24">24 Piese</option>
</select>
<div id="puzzle-container"></div>
<button id="newgame" onclick="window.location.reload();">Joc Nou</button>
<button id="solveit">Rezolvă</button>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-glisant-joc-interactiv-online-3.html"><button >1,2</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-cu-cifre-romane-joc-glissant.html"><button >I,II</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-glisant-numere-negative-joc.html"><button >-1,-2</button></a>
</div>
<script>
var movesNum = 0;
var movescell = document.getElementById("movesnum");
var selectTwo = document.querySelector("#pieces-select");
var puzzleContainer = document.getElementById("puzzle-container");
var piecesSelect = document.getElementById("pieces-select");
var tiles = [];
var isPuzzleSolved = false;
var emptyRow, emptyCol;
var numRows, numCols;
function createPuzzle(numPieces) {
const tileStyles = {
"8": { tileSize: "100px", fontSize: "44px" },
"15": { tileSize: "80px", fontSize: "32px" },
"24": { tileSize: "60px", fontSize: "24px" }
};
if (numPieces === "8" || numPieces === "15" || numPieces === "24") {
numRows = Math.sqrt(parseInt(numPieces) + 1);
numCols = numRows;
}
puzzleContainer.innerHTML = "";
tiles = [];
for (let i = 1; i <= numRows; i++) {
for (let j = 1; j <= numCols; j++) {
if (i === numRows && j === numCols) {
emptyRow = i;
emptyCol = j;
} else {
const tile = document.createElement("div");
tile.classList.add("Tile");
tile.innerText = String.fromCharCode(65 + (i - 1) * numCols + j - 1);
tile.style.gridRow = i;
tile.style.gridColumn = j;
tile.style.width = tileStyles[numPieces].tileSize;
tile.style.height = tileStyles[numPieces].tileSize;
tile.style.fontSize = tileStyles[numPieces].fontSize;
puzzleContainer.appendChild(tile);
tiles.push(tile);
}
}
}
tiles.forEach(function (tile) {
tile.addEventListener("click", function () {
moveTile(this);
});
});
}
function shufflePuzzle() {
isPuzzleSolved = false;
movesNum = 0;
movescell.innerHTML = movesNum;
document.getElementById("messageDiv").innerHTML = ""
selectTwo.disabled = false;
for (let i = tiles.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
const tempGridRow = tiles[i].style.gridRow;
const tempGridCol = tiles[i].style.gridColumn;
tiles[i].style.gridRow = tiles[j].style.gridRow;
tiles[i].style.gridColumn = tiles[j].style.gridColumn;
tiles[j].style.gridRow = tempGridRow;
tiles[j].style.gridColumn = tempGridCol;
tiles[i].classList.remove("correct-position");
tiles[j].classList.remove("correct-position");
}
tiles[tiles.length - 1].classList.remove("correct-position");
}
piecesSelect.addEventListener("change", function () {
createPuzzle(this.value);
shufflePuzzle();
});
document.getElementById("newgame").addEventListener("click", shufflePuzzle);
function solvePuzzle() {
createPuzzle(piecesSelect.value);
tiles.sort(function (a, b) {
return parseInt(a.innerText) - parseInt(b.innerText);
});
tiles.forEach(function (tile, index) {
tile.style.gridRow = Math.floor(index / numCols) + 1;
tile.style.gridColumn = (index % numCols) + 1;
const correctRow = Math.floor((index / numCols) + 1);
const correctCol = (index % numCols) + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
});
movesNum = 0;
movescell.innerHTML = movesNum;
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
setTimeout(function() {
const message = `<h2> 🎉 Rezolvat! 🎉 Acum rezolvă singur puzzle-ul! </h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}, 100);
}
}
createPuzzle("8");
shufflePuzzle();
document.getElementById("solveit").addEventListener("click", solvePuzzle);
function moveTile(tile) {
if (isPuzzleSolved) {
return;
}
const tileRow = parseInt(tile.style.gridRow);
const tileCol = parseInt(tile.style.gridColumn);
if ((Math.abs(tileRow - emptyRow) === 1 && tileCol === emptyCol) ||
(Math.abs(tileCol - emptyCol) === 1 && tileRow === emptyRow)) {
tile.style.gridRow = emptyRow;
tile.style.gridColumn = emptyCol;
emptyRow = tileRow;
emptyCol = tileCol;
movesNum++;
movescell.textContent = movesNum;
const correctRow = Math.floor((parseInt(tile.innerText) - 1) / numCols) + 1;
const correctCol = (parseInt(tile.innerText) - 1) % numCols + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
}
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
const message = `<h2> 🎉 Felicitări! 🎉 Ai rezolvat puzzle-ul în ${movesNum} mutări! <br>Poți rezolva alt puzzle?</h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}
}
</script>
</center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com1tag:blogger.com,1999:blog-2945279761328417852.post-88839171543801086032023-10-20T00:10:00.033+03:002023-11-26T20:25:18.619+02:00Puzzle Glisant Cifre Joc Interactiv Online 3 NiveleJoc aranjare numere in ordinea corecta! 3 Nivele dificultate: De la: 1 la 8; 1-15 sau 1-24.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Puzzle Glisant</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1"> Relaxare si Gimnastica Mentala cu acest Joc gratuit! Scopul acestui joc este de a aranja numere amestecate în ordinea corectă! Crezi ca poti rezolva? Sortarea unei sir de numere în ordine crescatoare.
Joc Puzzle Glisant cu 3 nivele de dificultate: <br>
Usor: 8 Piese<br>
Mediu: 15 Piese;<br>
Dificil: 24 Piese; <br>
<img alt="" border="0" width="200" data-original-height="527" data-original-width="540" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi906f-kkRoG1UhFu3rbrydilbBICXNFeYBUDQThDhsBGFJFEB32eGP03wCjaiaKfQKQZ9RbrZ2cwzqzRgkCn2TjPZLZ_9TV-pLO8gtAhXN0n1TS9qmggsFpE3sAisBS5RZwUYgb1gHozRJFtztNIx8oPpmdaiZx2M4eHsNR3c991iuflneUMsIc8zzKTE/s200/puzzle%20glisant.png"/> </div>
<div class="tab-panel" id="tab2">
<center>
<style>
#ContPuz{
text-align: center;
}
#ContPuz #puzzle-container {
display: grid;
grid-gap: 1px;
margin: 0 auto;
width: 300px;
-webkit-user-select: none;
-khtml-user-select: none;
-moz-user-select: none;
-ms-user-select: none;
-o-user-select: none;
user-select: none;
}
#ContPuz .Tile {
width: 100px;
height: 100px;
background-color: ;
display: flex;
justify-content: center;
align-items: center;
font-size: 44px;
cursor: pointer;
font-family: verdana;
font-weight: bold;
border: solid 1px blue;
border-top: 0.3rem solid #ccc;
border-left: 0.3rem solid #ccc;
border-right: 0.3rem solid #787878;
border-bottom: 0.3rem solid #787878;
}
#ContPuz #movesnum {
font-size: 20px;
}
#ContPuz button {
font-size: 18px;
margin:1px;
padding: 10px 20px;
background-color: #0074d9;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ContPuz button:hover {
background-color: #0056a3;
}
#ContPuz #newgame {
background-color: green;
}
#ContPuz #newgame:hover {
background-color: #0d600d;
}
#ContPuz .correct-position {
color: green;
}
</style>
<div id="ContPuz">
Mișcări: <b><span id="movesnum">0</span></b>
<div id="messageDiv"> </div>
<label for="pieces-select">Număr de Piese:</label>
<select id="pieces-select">
<option value="8">8 Piese</option>
<option value="15">15 Piese</option>
<option value="24">24 Piese</option>
</select>
<div id="puzzle-container"></div>
<button id="newgame" onclick="window.location.reload();">Joc Nou</button>
<button id="solveit">Rezolvă</button>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-cu-litere-joc-glisant.html"><button >A,B</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-cu-cifre-romane-joc-glissant.html"><button >I,II</button></a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-glisant-numere-negative-joc.html"><button >-1,-2</button></a>
</div>
<script>
var movesNum = 0;
var movescell = document.getElementById("movesnum");
var selectTwo = document.querySelector("#pieces-select");
var puzzleContainer = document.getElementById("puzzle-container");
var piecesSelect = document.getElementById("pieces-select");
var tiles = [];
var isPuzzleSolved = false;
var emptyRow, emptyCol;
var numRows, numCols;
function createPuzzle(numPieces) {
const tileStyles = {
"8": { tileSize: "100px", fontSize: "44px" },
"15": { tileSize: "80px", fontSize: "32px" },
"24": { tileSize: "60px", fontSize: "24px" }
};
if (numPieces === "8" || numPieces === "15" || numPieces === "24") {
numRows = Math.sqrt(parseInt(numPieces) + 1);
numCols = numRows;
}
puzzleContainer.innerHTML = "";
tiles = [];
for (let i = 1; i <= numRows; i++) {
for (let j = 1; j <= numCols; j++) {
if (i === numRows && j === numCols) {
emptyRow = i;
emptyCol = j;
} else {
const tile = document.createElement("div");
tile.classList.add("Tile");
tile.innerText = (i - 1) * numCols + j;
tile.style.gridRow = i;
tile.style.gridColumn = j;
tile.style.width = tileStyles[numPieces].tileSize;
tile.style.height = tileStyles[numPieces].tileSize;
tile.style.fontSize = tileStyles[numPieces].fontSize;
puzzleContainer.appendChild(tile);
tiles.push(tile);
}
}
}
tiles.forEach(function (tile) {
tile.addEventListener("click", function () {
moveTile(this);
});
});
}
function shufflePuzzle() {
isPuzzleSolved = false;
movesNum = 0;
movescell.innerHTML = movesNum;
document.getElementById("messageDiv").innerHTML = "";
selectTwo.disabled = false;
for (let i = tiles.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
const tempGridRow = tiles[i].style.gridRow;
const tempGridCol = tiles[i].style.gridColumn;
tiles[i].style.gridRow = tiles[j].style.gridRow;
tiles[i].style.gridColumn = tiles[j].style.gridColumn;
tiles[j].style.gridRow = tempGridRow;
tiles[j].style.gridColumn = tempGridCol;
tiles[i].classList.remove("correct-position");
tiles[j].classList.remove("correct-position");
}
tiles[tiles.length - 1].classList.remove("correct-position");
}
piecesSelect.addEventListener("change", function () {
createPuzzle(this.value);
shufflePuzzle();
});
document.getElementById("newgame").addEventListener("click", shufflePuzzle);
function solvePuzzle() {
createPuzzle(piecesSelect.value);
tiles.sort(function (a, b) {
return parseInt(a.innerText) - parseInt(b.innerText);
});
tiles.forEach(function (tile, index) {
tile.style.gridRow = Math.floor(index / numCols) + 1;
tile.style.gridColumn = (index % numCols) + 1;
const correctRow = Math.floor((index / numCols) + 1);
const correctCol = (index % numCols) + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
});
movesNum = 0;
movescell.innerHTML = movesNum;
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
setTimeout(function() {
const message = `<h2> 🎉 Rezolvat! 🎉 Acum rezolvă singur puzzle-ul! </h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}, 100);
}
}
createPuzzle("8");
shufflePuzzle();
document.getElementById("solveit").addEventListener("click", solvePuzzle);
function moveTile(tile) {
if (isPuzzleSolved) {
return;
}
const tileRow = parseInt(tile.style.gridRow);
const tileCol = parseInt(tile.style.gridColumn);
if ((Math.abs(tileRow - emptyRow) === 1 && tileCol === emptyCol) ||
(Math.abs(tileCol - emptyCol) === 1 && tileRow === emptyRow)) {
tile.style.gridRow = emptyRow;
tile.style.gridColumn = emptyCol;
emptyRow = tileRow;
emptyCol = tileCol;
movesNum++;
movescell.textContent = movesNum;
const correctRow = Math.floor((parseInt(tile.innerText) - 1) / numCols) + 1;
const correctCol = (parseInt(tile.innerText) - 1) % numCols + 1;
if (
parseInt(tile.style.gridRow) === correctRow &&
parseInt(tile.style.gridColumn) === correctCol
) {
tile.classList.add("correct-position");
} else {
tile.classList.remove("correct-position");
}
}
if (tiles.every(tile => tile.classList.contains("correct-position"))) {
isPuzzleSolved = true;
const message = `<h2> 🎉 Felicitări! 🎉 Ai rezolvat puzzle-ul în ${movesNum} mutări! <br>Poți rezolva alt puzzle?</h2>`;
movescell.textContent = movesNum;
const messageDiv = document.getElementById("messageDiv");
messageDiv.innerHTML = message;
selectTwo.disabled = true;
}
}
</script>
</center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-13888924515974328222023-10-19T22:22:00.001+03:002023-10-19T22:22:16.363+03:00Raspunsuri Set 2 Probleme de Gandire Laterala<p> Verifica Răspunsurile propuse pentru <a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-uri-de-gandire-laterala-set-2.html" target="_blank">Setul 2 Probleme de Gândire Laterala</a><br /></p><p> </p><p><strong>Răspuns 11:</strong>
Bărbatul joacă Monopoly și a aterizat pe o proprietate cu un hotel pe care nu și-l poate permite, așa că declară faliment în joc.</p><p> </p><p><strong>Răspuns 12:</strong>
Este momentul să dea fiecărui fiu un ceas de mână. Enigma este menită să vă ducă pe o pistă falsă.</p><p> </p><p><strong>Răspuns 13:</strong>
Chirurgul este mama băiatului.</p><p> </p><p><strong>Răspuns 14:</strong>
Femeia s-a născut în camera 1955 a unui spital și a sărbătorit aniversarea la 16 ani în anul 1971.</p><p> </p><p><strong>Răspuns 15:</strong>
Supraviețuitorii nu sunt îngropați. Aceasta este o repetiție a unei enigme anterioare.</p><p> </p><p><strong>Răspuns 16:</strong>
Te uiți în oglindă pentru a vedea ce "ai văzut." Apoi, iei "fierăstrăul" (cuvântul "saw" în engleză) pentru a tăia masa în două. Cele două jumătăți fac un "gaură," prin care poți scăpa.</p><p> </p><p><strong>Răspuns 17:</strong>
Bărbatul a murit într-un accident de avion, iar cabana menționată în enigmă face parte din epava avionului.</p><p> </p><p><strong>Răspuns 18:</strong>
Este ziua, așa că nu este nevoie de faruri. Este suficientă lumina naturală pentru a vedea.</p><p> </p><p><strong>Răspuns 19:</strong>
Ei joacă o partidă de șah în liniște.</p><p> </p><p><strong>Răspuns 20:</strong>
El cântărește carne. Ca asistent într-un mag</p><p> </p>John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-75120583664530980632023-10-19T22:19:00.007+03:002023-10-19T22:22:43.307+03:00Puzzle-uri de Gandire Laterala Set 2<p>Rezolva setul 2 de probleme, enigme si puzzle-uri interesante de gândire laterala. Testează cat de creativ ești in a rezolva probleme in mod neconvențional. Provoaca-ti preconcepțiile si prejudecățile pe care le ai.<br /></p><p><b> </b></p><p><b>Verifica si <a href="https://gimnasticamentala.blogspot.com/2023/10/10-puzzle-uri-gandire-laterala-set-1.html" target="_blank">Setul 1 10 Puzzle-uri Gândire Laterala </a></b></p><p><b> </b></p><p><b> </b></p><p><b>Problema 11:</b>
Un bărbat împinge mașina pe o șosea când vede un hotel. El știe imediat că e falit. De ce?</p><p><b> </b></p><p><b>Puzzle 12:</b>
Un bărbat dă unuia dintre fii săi 10 cenți, iar celălalt fiu primește 15 cenți. Cât este ceasul?</p><p><b> </b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgz-V3xb1pgpnHlf86ZpVOTwEU8baCDSkF9zsmxZhviXcpmdjaMukO-ekxBiAdLtJOnT_DdRnRuaRxz5njHRrpGbrlK093zyn-RniIPMbULDkGH8pfP6yRG1MV-i1yR2U2ZvvCXA9Dp0Y3ZFo6ER6-lW2nrgo3UtY3Vr7daATJ6LPyqJVIiqMxemP95On0/s299/lateral%202.png" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="206" data-original-width="299" height="138" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgz-V3xb1pgpnHlf86ZpVOTwEU8baCDSkF9zsmxZhviXcpmdjaMukO-ekxBiAdLtJOnT_DdRnRuaRxz5njHRrpGbrlK093zyn-RniIPMbULDkGH8pfP6yRG1MV-i1yR2U2ZvvCXA9Dp0Y3ZFo6ER6-lW2nrgo3UtY3Vr7daATJ6LPyqJVIiqMxemP95On0/w200-h138/lateral%202.png" width="200" /></a></b></div><b><br /></b><p></p><p><b>Enigma 13:</b>
Un băiat și tatăl său sunt implicați într-un accident de mașină. Tatăl moare pe loc, iar băiatul este dus la spital pentru o intervenție chirurgicală. Când băiatul este dus în sala de operație, chirurgul spune, "Nu pot să operez, el este fiul meu!" Cum este posibil acest lucru?</p><p><b> </b></p><p><b>Problema </b><b>14:</b>
O femeie s-a născut în 1955, dar a sărbătorit doar cea de-a 16-a aniversare în 1971. Cum este posibil acest lucru?</p><p><b> </b></p><p><b>Enigma 15:</b>
Un avion se prăbușește la granița dintre Statele Unite și Mexic. Unde îngroapă supraviețuitorii?</p><p><b> </b></p><p><b>Puzzle </b><b>16:</b>
Ești într-o cameră fără ferestre, uși sau orice altă ieșire. Singurele obiecte din cameră sunt un oglindă și o masă. Cum scapi?</p><p><b> </b></p><p><b>Problema </b><b>17:</b>
Un bărbat este găsit mort într-o cabină în mijlocul deșertului. Cabina nu are uși sau ferestre, iar singurele obiecte din interior sunt un scaun și o masă. Cum a murit?</p><p><b> </b></p><p><b>Problema </b><b>18:</b>
Un bărbat purta haine negre, pantofi negri și un pălărioar negru pe o stradă cu toate becurile de stradă stinse. Un automobil negru fără faruri merge pe stradă. Cum evită automobilul să-l lovească?</p><p><b> </b></p><p><b>Puzzle </b><b>19:</b>
Două persoane stau față în față la o masă, fără nimic între ele în afară de o bucată de hârtie. Sunt complet tăcuți. Ce fac ei?</p><p><b> </b></p><p><b>Puzzle </b><b>20:</b>
Un bărbat are 6 picioare și este asistent într-un magazin de carne. Poartă pantofi mărimea 10. Cât cântărește?</p><p> </p><p><a href="https://gimnasticamentala.blogspot.com/2023/10/raspunsuri-set-2-probleme-de-gandire.html" target="_blank">Verifica Solutii!</a></p><p> </p><p style="text-align: right;"><span style="font-size: x-small;">sursa: <a href="https://briquinex.blogspot.com/" target="_blank">Briquinex </a></span><br /></p>John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-58017963865725103762023-10-19T22:07:00.006+03:002023-10-20T00:29:07.740+03:0010 Puzzle-uri Gandire Laterala Set 1 Probleme<p>Dezvolta creativitatea și abilitățile de rezolvare a problemelor rezolvând un prim set de10 puzzle-uri, enigmele si problemele de gândire laterală propuse mai jos.<br /></p><p>Tine minte ca puzzle-urile de gândire laterală implică adesea gândirea dincolo de ceea ce este evident și luarea în considerare a explicațiilor neconvenționale.</p><p> </p><p style="text-align: center;"><b>Verifica si <a href="https://gimnasticamentala.blogspot.com/2023/10/puzzle-uri-de-gandire-laterala-set-2.html" target="_blank">Setul 2 cu 10 Puzzle-uri Gândire Laterala </a></b></p><p> </p><p><b>Puzzle 1:</b>
Un bărbat împinge mașina pe o șosea când ajunge la un hotel. El strigă: "Sunt falit!" De ce?</p><p> </p><p><b>Enigma 2:</b>
Un bărbat este găsit mort într-o cameră cu 53 de biciclete. Ce s-a întâmplat?</p><p> </p><p><b>Problema 3:</b>
O femeie stă în camera sa de hotel când cineva bate la ușă. Ea deschide ușa și găsește un bărbat pe care nu l-a mai văzut niciodată. El spune: "Îmi pare rău, am făcut o greșeală. Am crezut că e camera mea." Apoi merge în jos pe coridor și ia liftul. De ce a mers bărbatul la ușa ei?</p><p> </p><p><b>Puzzle </b><b>4:</b>
Un avion se prăbușește la granița dintre Statele Unite și Canada. Unde îngroapă supraviețuitorii?</p><p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHcwNRNDTpgLQo3BG9IsTirTM0PfO1KHyHjDRaqH0G5rqL9u_AY16nMVt0MFly4P6TZ44k8Ayl7q7EVaFoc5eWK4uy3rtISLRK3KKUqOKW8HZQ2ZPhVvlZa35MFMtccMXMc57AwTu5NISI2S_DqbdLON5VYcJo407vAGg3Uggcj2fcdBdX0EVm0QXrulE/s397/lateral%201.png" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="226" data-original-width="397" height="114" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhHcwNRNDTpgLQo3BG9IsTirTM0PfO1KHyHjDRaqH0G5rqL9u_AY16nMVt0MFly4P6TZ44k8Ayl7q7EVaFoc5eWK4uy3rtISLRK3KKUqOKW8HZQ2ZPhVvlZa35MFMtccMXMc57AwTu5NISI2S_DqbdLON5VYcJo407vAGg3Uggcj2fcdBdX0EVm0QXrulE/w200-h114/lateral%201.png" width="200" /></a></div><br /><p></p><p><b>Problema </b><b>5:</b>
Un bărbat este găsit mort în mijlocul unui deșert cu un rucsac. Cum a murit?</p><p> </p><p><b>Enigma 6:</b>
Doi bărbați joacă șah. Ei joacă cinci jocuri, iar fiecare bărbat câștigă trei jocuri. Cum este posibil acest lucru?</p><p> </p><p><b>Puzzle </b><b>7:</b>
Un bărbat împinge o mașină pe o șosea când ajunge la o trecere la nivel unde trece un tren. El se oprește și se întoarce, hotărând să se întoarcă acasă. De ce?</p><p> </p><p><b>Enigma 8:</b>
Un tată și fiul său au un accident de mașină. Tatăl moare pe loc, iar fiul este dus de urgență la spital pentru o intervenție chirurgicală. Chirurgul spune: "Nu pot opera acest băiat, el este fiul meu." Cum este posibil acest lucru?</p><p> </p><p><b>Puzzle </b><b>9:</b>
Un bărbat a ieșit afară în ploaie torențială fără nicio protecție, dar niciun fir de păr de pe capul său nu s-a udat. Cum este posibil?</p><p> </p><p><b>Problema </b><b>10:</b>
Un bărbat intră într-un restaurant, comandă supă cu albatroși, ia o înghițitură și apoi părăsește restaurantul și se sinucide. De ce a făcut asta?</p><p> </p><p> </p><p><a href="https://gimnasticamentala.blogspot.com/2023/10/raspunsuri-set-1-puzzel-uri-gandire.html" target="_blank">Verifica Soluțiile! </a></p><p style="text-align: right;"><span style="font-size: x-small;">sursa:<a href="https://briquinex.blogspot.com/2023/10/10-lateral-thinking-puzzles-set-1.html" target="_blank">Briquinex </a></span><br /></p>John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-80386871977146151112023-10-19T22:00:00.002+03:002023-10-20T00:29:17.782+03:00Răspunsuri Set 1 Puzzel-uri Gandire Laterala<p>Verifica soluțiile propuse la<a href="https://gimnasticamentala.blogspot.com/2023/10/10-puzzle-uri-gandire-laterala-set-1.html" target="_blank"> primele 10 puzzle-uri de gândire laterală.</a></p><p><br /></p><p><b>Răspuns 1:</b>
Bărbatul joacă Monopoly și a aterizat pe o proprietate cu un hotel pe care nu și-l poate permite. Așa că declară faliment în joc.</p><p> </p><p><b>Răspuns 2:</b>
Camera cu cele 53 de biciclete este, de fapt, o cameră de joc de cărți, iar bărbatul juca cărți cu un pachet obișnuit de 52 de cărți. A murit de un atac de cord în timp ce juca.</p><p> </p><p><b>Răspuns 3:</b>
Bărbatul era de fapt în camera greșită, iar camera femeii era, într-adevăr, camera lui. El a realizat greșeala și a părăsit camera ei, luând liftul către camera sa.</p><p> </p><p><b>Răspuns 4:</b>
Supraviețuitorii nu sunt înmormântați; doar cei decedați sunt înmormântați. Prin urmare, ei nu îngroapă supraviețuitorii.</p><p> </p><p><b>Răspuns 5:</b>
Bărbatul a sărit cu parașuta dintr-un avion, dar parașuta nu s-a deschis, ceea ce a dus la moartea sa în deșert.</p><p> </p><p><b>Răspuns 6:</b>
Cei doi bărbați nu joacă unul împotriva celuilalt; ei joacă împotriva altor adversari. Astfel, fiecare dintre ei poate câștiga trei jocuri.</p><p> </p><p><b>Răspuns 7:</b>
Bărbatul joacă Monopoly și a aterizat pe o proprietate cu o trecere la nivel. El nu își permite să o cumpere, așa că decide să se întoarcă acasă.</p><p> </p><p><b>Răspuns 8:</b>
Chirurgul este mama băiatului.</p><p> </p><p><b>Răspuns 9:</b>
Bărbatul este chel, așa că nu avea păr pe cap care să se ude.</p><p> </p><p><b>Răspuns 10:</b>
Bărbatul fusese blocat pe o insulă pustie cu o altă persoană. Erau înfometați și au decis să mănânce o parte din celălalt. Când a încercat supa cu albatroși în restaurant, i-a amintit de acea experiență oribilă, ceea ce l-a condus la sinucidere.</p>John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-82844580575831310262023-10-19T17:11:00.023+03:002023-10-19T21:26:49.222+03:00Petale din jurul Trandafirului Joc puzzle OnlineJoaca zarurile, Ghiceste numărul corect de petale in <b>Jocul Petalele din jurul Trandafirului</b> si castiga puncte!
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Petale Trandafir</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Dezvolta-ti gandirea laterala! Arunca zarurile, foloseste gandirea laterala sau intuitiva si calculeaza cate petale de trandafir ai gasit. Introdu numarul si verifica daca ai ghicit corect!
<br>
<b>Petale din jurul Trandafirului</b> este un puzzle din punct de vedere matematic, în care obiectivul este de a elabora formula prin care un număr este derivat din aruncarea unui set de cinci sau șase zaruri. Este adesea folosit ca un exercițiu de raționament inductiv.
<img alt="" border="0" width="200" data-original-height="365" data-original-width="649" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4HHzsEjkEsaWn8ZbF9YyGxxxs1_dunc1YeUJxs_jYZs0cyKar8gpXMN984VBiHY65HsL0C19NJo-OKMNSxhddXzaXtmhF9JW4uhfhdFRvCCG1jWnkvzzbgVDwcwQTkTr2YD72kR9ASC4KfoJbxrTAjTvmMUFH45sK42Hb2iSsy7wXw20LioRJAHJX8l8/s200/petale.png"/> </div>
<div class="tab-panel" id="tab2">
<style>
#ContRos {
text-align: center;
}
#ContRos #diceContainer {
text-align: center;
margin: 2px;
}
#diceContainer div {
display: inline-block;
text-align: center;
margin: 1px;
font-size: 100px;
font-family: Arial;
color: maroon;
line-height:100px;
}
#ContRos button {
font-size: 18px;
padding: 10px 20px;
background-color: #3498db;
color: #fff;
border: none;
border-radius: 5px;
cursor: pointer;
}
#ContRos button:disabled {
background-color: #ccc;
cursor: not-allowed;
}
#ContRos button:hover {
background-color: #2980b9;
}
#ContRos label {
font-size: 25px;
}
#guess {
font-size: 25px;
padding: 5px;
width: 90px;
}
#result {
font-size: 20px;
margin: 20px;
}
#score {
font-size: 20px;
margin-top: 10px;
}
#scoreValue {
font-size: 30px;
}
</style>
<div id="ContRos">
<p>Arunca zarurile si ghiceste numărul de petale de Trandafir:</p>
<div id="diceContainer">
<div id="dice1">🌹</div>
<div id="dice2">?</div>
<div id="dice3">🌹</div>
<div id="dice4">?</div>
<div id="dice5">🌹</div>
</div>
<button onclick="rollDice()">Aruncă zarurile</button>
<br>
<label for="guess">Introdu cate petale crezi ca ai gasit: </label><br>
<input type="number" id="guess" min="0">
<button id="guessButton" onclick="checkGuess()">Verifică Ghicirea</button>
<p id="result"></p>
<p id="score">Scor: <span id="scoreValue">0</span>🌹</p>
</div>
<script>
let diceValues = [];
let hasGuessed = false;
let score = 0;
window.onload = function() {
if (localStorage.getItem('petalsScore') !== null) {
score = parseInt(localStorage.getItem('petalsScore'));
document.getElementById('scoreValue').textContent = score;
}
};
function rollDice() {
const diceSymbols = ['⚀', '⚁', '⚂', '⚃', '⚄', '⚅'];
const diceContainer = document.getElementById('diceContainer');
for (let i = 0; i < 5; i++) {
const randomValue = Math.floor(Math.random() * 6) + 1;
diceValues[i] = randomValue;
diceContainer.children[i].innerHTML= diceSymbols[randomValue - 1];
}
document.getElementById('guess').value = '';
document.getElementById('result').textContent = '';
hasGuessed = false;
document.getElementById('guessButton').disabled = false;
}
function checkGuess() {
if (hasGuessed) {
return;
}
const guessInput = document.getElementById('guess');
const guessButton = document.getElementById('guessButton');
const guess = parseInt(guessInput.value);
const result = document.getElementById('result');
const scoreDisplay = document.getElementById('scoreValue');
if (isNaN(guess) || guess < 0) {
result.textContent = 'Vă rugăm să introduceți un număr pozitiv valid.';
} else {
hasGuessed = true;
guessButton.disabled = true;
const correctScore = calculateScore(diceValues);
if (guess === correctScore) {
result.textContent = 'Corect! Ai ghicit corect!';
score += correctScore === 0 ? 3 : correctScore;
} else {
result.textContent = 'Ai ghicit greșit! Arunca din nou zarurile!';
score -= 2;
}
scoreDisplay.textContent = score;
localStorage.setItem('petalsScore', score);
}
}
function calculateScore(dice) {
let correctScore = 0;
for (const value of dice) {
if (value === 3) {
correctScore += 2;
} else if (value === 5) {
correctScore += 4;
}
}
return correctScore;
}
</script>
</center>
</div>
<div class="tab-panel" id="tab3">
zzzzzzzzzzzz
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-49160748500339434572023-10-18T23:11:00.015+03:002023-10-19T15:17:14.257+03:00Arunca Zarurile Joc - 2 Zaruri SimulatorIti lipsesc zarurile clasice? Joaca online cu : 1, 2, 3, 4 sau 5 zaruri.
<div class="tabs">
<button class="tab-button " data-tab="tab1">Despre</button>
<button class="tab-button active" data-tab="tab2">Zaruri Joc</button>
<button class="tab-button " data-tab="tab3">Bonus</button>
</div>
<div class="tab-content">
<div class="tab-panel" id="tab1">
Simulator Virtual de Zaruri Online cu animație. Generator Combinatii zaruri / numere aleatorii pentru a alege sau lua decizii. Rotiți zarurile cu acest Program de aruncare a zarurilor. Joc gratis online ca arunci: un, doua, trei, patru sau cinci zaruri. Unii folosesc zarurile sa joace barbut.<img alt="" border="0" width="200" data-original-height="286" data-original-width="405" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilq7KtfOitjjOS9aR93_51yhGYwfxdXbGQYFxD0UjGgs9QBY5U7x-QwM1PgOMzG7cfQEjhicDN-OQgA9O-9p5SwfgYUn1Q1eMkyh5yxM1jHT8rmzBPOj-TF7kHG9fK0DnF9Axrvak1uyxjQWyYBUS9zrBe_S5x-kCcDBSMLqDdDpNxhhLVoGG1pTjL0qI/s200/zaruri%20p.png"/>
</div>
<div class="tab-panel" id="tab2">
<center>
<style>
#dice-container {
display: flex;
justify-content: center;
padding:25px 10px;
text-align: center;
background-color: #292b2c;
color: #fff;
border: 3px solid #000;
border-radius: 15px;
}
.die {
width: 100px;
height: 100px;
margin: 10px;
background-color: #fff;
border: 3px solid #000;
border-radius: 15px;
display: grid;
grid-template: repeat(3, 1fr) / repeat(3, 1fr);
padding: 10px;
transform-style: preserve-3d;
animation: roll 2s cubic-bezier(0.68, -0.55, 0.27, 1.55) forwards;
box-shadow: -6px -6px 15px rgba(255, 255, 255, 0.7), 6px 6px 15px rgba(0, 0, 0, 0.5);
}
@keyframes roll {
0% {
transform: rotateX(0deg) rotateY(0deg);
}
100% {
transform: rotateX(1080deg) rotateY(720deg);
}
}
.dot {
width: 25px;
height: 25px;
background-color: #000;
border-radius: 50%;
margin: auto;
}
.center-dot {
grid-column: 2;
grid-row: 2;
}
.top-left-dot,
.top-right-dot,
.bottom-left-dot,
.bottom-right-dot,
.bottom-center-dot {
width: 25px;
height: 25px;
background-color: #000;
border-radius: 50%;
}
.top-left-dot {
grid-column: 1;
grid-row: 1;
}
.top-right-dot {
grid-column: 3;
grid-row: 1;
}
.bottom-left-dot {
grid-column: 1;
grid-row: 3;
}
.bottom-right-dot {
grid-column: 3;
grid-row: 3;
}
.bottom-center-dot {
grid-column: 2;
grid-row: 3;
}
#rollButton {
background-color: #007bff;
color: #fff;
border: none;
border-radius: 5px;
padding: 10px 20px;
font-size: 20px;
cursor: pointer;
transition: background-color 0.3s;
}
#rollButton:hover {
background-color: #0056b3;
}
@media (max-width: 600px) {
#dice-container {
flex-wrap: wrap;
align-items: center;
padding:2px 1px;
}
.die {
margin-left: 4px;
}
}
</style>
<label for="diceCount">Numar de Zaruri:</label>
<select id="diceCount">
<option value="1">1</option>
<option value="2" selected>2</option>
<option value="3">3</option>
<option value="4">4</option>
<option value="5">5</option>
</select>
<div id="dice-container">
<div class="die" id="die1"></div>
<div class="die" id="die2"></div>
</div><br>
<center> <button id="rollButton">Arunca Zarurile</button> </center>
<script>
function getRandomInt(min, max) {
if (window.crypto && window.crypto.getRandomValues) {
const randomValues = new Uint32Array(1);
window.crypto.getRandomValues(randomValues);
return (randomValues[0] % (max - min + 1)) + min;
} else {
return Math.floor(Math.random() * (max - min + 1)) + min;
}
}
function rollDie() {
const min = 1;
const max = 6;
const value = getRandomInt(min, max);
const die = document.createElement('div');
die.className = 'die';
if (value === 1) {
die.appendChild(createDot('center-dot'));
} else if (value === 2) {
die.appendChild(createDot('top-left-dot'));
die.appendChild(createDot('bottom-right-dot'));
} else if (value === 3) {
die.appendChild(createDot('top-left-dot'));
die.appendChild(createDot('center-dot'));
die.appendChild(createDot('bottom-right-dot'));
} else if (value === 4) {
die.appendChild(createDot('top-left-dot'));
die.appendChild(createDot('top-right-dot'));
die.appendChild(createDot('bottom-left-dot'));
die.appendChild(createDot('bottom-right-dot'));
} else if (value === 5) {
die.appendChild(createDot('top-left-dot'));
die.appendChild(createDot('top-right-dot'));
die.appendChild(createDot('center-dot'));
die.appendChild(createDot('bottom-left-dot'));
die.appendChild(createDot('bottom-right-dot'));
} else if (value === 6) {
die.appendChild(createDot('top-left-dot'));
die.appendChild(createDot('top-center-dot'));
die.appendChild(createDot('top-right-dot'));
die.appendChild(createDot('bottom-left-dot'));
die.appendChild(createDot('bottom-center-dot'));
die.appendChild(createDot('bottom-right-dot'));
}
die.style.transform = `rotateX(${Math.random() * 360}deg) rotateY(${Math.random() * 360}deg)`;
return die;
}
function createDot(className) {
const dot = document.createElement('div');
dot.className = 'dot ' + className;
return dot;
}
function updateDice() {
const diceCount = parseInt(document.getElementById('diceCount').value, 10);
const container = document.getElementById('dice-container');
container.innerHTML = '';
for (let i = 0; i < diceCount; i++) {
const die = rollDie();
container.appendChild(die);
}
}
document.getElementById('rollButton').addEventListener('click', function () {
const container = document.getElementById('dice-container');
container.style.transform = 'rotateX(0deg) rotateY(0deg)';
setTimeout(updateDice, 100);
});
document.getElementById('diceCount').addEventListener('change', updateDice);
updateDice();
</script> </center>
</div>
<div class="tab-panel" id="tab3">
Alte Jocuri:
</div>
</div>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com1tag:blogger.com,1999:blog-2945279761328417852.post-38710314265529644502023-10-16T17:11:00.006+03:002023-10-16T17:54:57.362+03:00 Fractii Exerciții și Probleme de Rezolvat<p>Rezolva 5 exerciții și probleme pentru fiecare operație cu fracții: adunare, scădere, înmulțire și împărțire a fracțiilor.</p><p> Studiaza Teoria: Formule Calcul si Exemple cu Pasi Rezolvare</p><p><div class="container2">
<a href="https://gimnasticamentala.blogspot.com/2023/10/scadere-fractii-frormule-calcul-si.html" target="_blank" class="buttonP2">Scadere Fractii</a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/adunare-fractii-formule-calcul-si.html" target="_blank" class="buttonP2">Adunare Fractii</a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/inmultire-fractii-formula-exemple.html" target="_blank" class="buttonP2">Inmultire Fractii</a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/impartire-fractii-formule-si-exemple.html" target="_blank" class="buttonP2">Impartire Fractii</a>
</div> <br /></p><p> <br /></p><p> <strong>Exercitii de Adunare cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>10</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>8</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>8</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>7</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol><p><strong>Exercitii Scădere cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>−</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>5</mn></mfrac><mo>−</mo><mfrac><mn>1</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>−</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>−</mo><mfrac><mn>3</mn><mn>16</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>4</mn><mn>7</mn></mfrac><mo>−</mo><mfrac><mn>2</mn><mn>7</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol><p><strong> </strong></p><h3 style="text-align: left;">Vrei Ajutor la rezolvare? Calculatoare Fractii:</h3> <ul style="text-align: left;"><li><a href="https://gimnasticamentala.blogspot.com/2015/01/scaderea-fractiilor-calculator-online.html" target="_blank">Adunarea , Scaderea, Inmultire, Impartire Fractiilor Calculato </a></li><li><a href="https://gimnasticamentala.blogspot.com/2020/06/fractii-calculator-adunare-scadere.html" target="_blank"><b>Fractii Calculator cu Pasi Rezolvare;</b></a></li><li><b><a href="https://gimnasticamentala.blogspot.com/2011/09/calculator-online-fractii.html" target="_blank">Fractii Multiple Calculator - Adunare , Scadere, Inmultire, Impartire;</a></b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmdc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMDC Calculator Online</b></a><b>;</b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmmc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMMC Calculator Online</b></a><b>;</b></li></ul><p><strong></strong></p><p><strong> </strong></p><p><strong>Exercitii de Înmulțire cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>⋅</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>8</mn></mfrac><mo>⋅</mo><mfrac><mn>2</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>⋅</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>9</mn></mfrac><mo>⋅</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol><p><strong> </strong></p><p><strong> </strong></p><p><strong>Exercitii Împărțire cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>÷</mo><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>÷</mo><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol><p> </p><p>Sper că aceste exerciții vă vor ajuta să vă exersați abilitățile în lucrul cu fracții.</p><p> </p><p>Verifica Soluții:</p><button onclick="AscAr()">Ascunde / Arata Solutiile</button>
<div id="PtAscAr">
<p> Rezolvările pentru exercițiile cu fracții. <br /></p><p><strong>Adunare cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>4</mn><mn>12</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>10</mn></mfrac><mo>=</mo><mfrac><mn>4</mn><mn>10</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>10</mn></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>10</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mn>12</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>8</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>8</mn></mfrac><mo>=</mo><mfrac><mn>4</mn><mn>8</mn></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>7</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>10</mn><mn>12</mn></mfrac><mo>+</mo><mfrac><mn>7</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>17</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span></span></span></span></span></span></span></span></span></span></li></ol><p><strong>Scădere cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>−</mo><mfrac><mrow><mn>1</mn><mi mathvariant="normal">/</mi><mn>4</mn></mrow><mo lspace="0em" rspace="0em">=</mo></mfrac><mfrac><mn>8</mn><mn>12</mn></mfrac><mo>−</mo><mfrac><mn>3</mn><mn>12</mn></mfrac><mo>=</mo><mfrac><mn>5</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>5</mn></mfrac><mo>−</mo><mfrac><mn>1</mn><mn>5</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>−</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>−</mo><mfrac><mn>4</mn><mn>6</mn></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>6</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>−</mo><mfrac><mn>3</mn><mn>16</mn></mfrac><mo>=</mo><mfrac><mn>14</mn><mn>16</mn></mfrac><mo>−</mo><mfrac><mn>3</mn><mn>16</mn></mfrac><mo>=</mo><mfrac><mn>11</mn><mn>16</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>4</mn><mn>7</mn></mfrac><mo>−</mo><mfrac><mn>2</mn><mn>7</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mn>7</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol><p><strong>Înmulțire cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>⋅</mo><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>8</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>8</mn><mn>15</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>8</mn></mfrac><mo>⋅</mo><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>=</mo><mfrac><mn>6</mn><mn>40</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>20</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>⋅</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>5</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>9</mn></mfrac><mo>⋅</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>14</mn><mn>27</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol><p><strong>Împărțire cu fracții:</strong></p><ol><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>1</mn></mfrac><mo>=</mo><mfrac><mn>4</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right: 0.2778em;"></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>⋅</mo><mn>2</mn><mo>=</mo><mfrac><mn>4</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>⋅</mo><mn>2</mn><mo>=</mo><mfrac><mn>3</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>÷</mo><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>6</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>÷</mo><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>5</mn><mn>6</mn></mfrac><mo>⋅</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>=</mo><mfrac><mn>5</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li></ol>Daca ai gasit rezolvări eroante, te rog sa lasi un comentariu.<br />
</div>John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-11064289944648760212023-10-16T16:39:00.007+03:002023-10-16T17:52:36.992+03:00Impartire Fractii Formule si Exemple Rezolvate<p>Pentru împărțirea fracțiilor cu același numitor sau cu numitori diferiți, puteti sa urmati formule calcul de mai jos. Pentru a intelege mai bine puteti studia pasi de rezolvare din exemplele oferite cu explicații. Rezolva si exercitiile cu fractii de la final.</p><h3 style="text-align: left;">Calculatoare Fractii Gratuite:</h3> <ul style="text-align: left;"><li><a href="https://gimnasticamentala.blogspot.com/2015/01/impartirea-fractiilor-calculator-online.html" target="_blank"><b>Calculator Imartire 2 Fractii;</b></a></li><li><a href="https://gimnasticamentala.blogspot.com/2020/06/fractii-calculator-adunare-scadere.html" target="_blank"><b>Fractii Calculator cu Pasi Rezolvare;</b></a></li><li><b><a href="https://gimnasticamentala.blogspot.com/2011/09/calculator-online-fractii.html" target="_blank">Fractii Multiple Calculator - Adunare , Scadere, Inmultire, Impartire;</a></b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmdc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMDC Calculator Online</b></a></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmmc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMMC Calculator Online</b></a></li></ul><p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisg_iCoL_aCJzSmAhfmShNhyjIy6JOo86HcoqusMmZU32vt73kyOSCT4LZ_M2nV1dx72syzaN4xlkZxrDircCsXRGM7rVUtytQQyOMoyJKXGklng5RvLuSHhtKSsZfIbLCTRT_6vEsvnu6msvYWsTP1S0tt7mLDgYufVlfYBhUGVk4Zj1zmoK0dWSkDcI/s617/impart%20fractii.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="303" data-original-width="617" height="98" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisg_iCoL_aCJzSmAhfmShNhyjIy6JOo86HcoqusMmZU32vt73kyOSCT4LZ_M2nV1dx72syzaN4xlkZxrDircCsXRGM7rVUtytQQyOMoyJKXGklng5RvLuSHhtKSsZfIbLCTRT_6vEsvnu6msvYWsTP1S0tt7mLDgYufVlfYBhUGVk4Zj1zmoK0dWSkDcI/w200-h98/impart%20fractii.png" width="200" /></a></div><br /><p></p><div class="flex flex-grow flex-col gap-3 max-w-full"><div class="min-h-[20px] flex flex-col items-start gap-3 whitespace-pre-wrap break-words overflow-x-auto"><div class="markdown prose w-full break-words dark:prose-invert dark"><ol style="text-align: left;"><li><h2><strong>Caz 1: Împărțire Fracții cu același numitor (numitor comun):</strong></h2><p><b><i>Formula</i></b>: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>÷</mo><mfrac><mi>c</mi><mi>b</mi></mfrac><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>⋅</mo><mfrac><mi>b</mi><mi>c</mi></mfrac><mo></mo><mfrac><mi></mi><mi></mi></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.0404em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.6954em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>Explicație: Pentru a împărți două fracții cu același numitor, puteți transforma operația de împărțire într-una de înmulțire, inversând fracția care este în numitorul împărțitorului.</p><p><strong>Exemplu 1:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>÷</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 2 și 3, iar numitorul comun este 5.</li><li>Transformați înmulțirea: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>⋅</mo><mfrac><mn>5</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>2</mn><mo>⋅</mo><mn>5</mn><mo>=</mo><mn>10</mn></mrow></semantics></math></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>5</mn><mo>⋅</mo><mn>3</mn><mo>=</mo><mn>15</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>10</mn><mn>15</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>, care poate fi simplificat la <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span></span></span></span></li></ul><p><strong>Exemplu 2:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>÷</mo><mfrac><mn>2</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 1 și 2, iar numitorul comun este 4.</li><li>Transformați înmulțirea: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mo>⋅</mo><mn>4</mn><mo>=</mo><mn>4</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span>.</li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>4</mn><mo>⋅</mo><mn>2</mn><mo>=</mo><mn>8</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span>.</li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>4</mn><mn>8</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span><span style="top: -3.23em;"><span class="pstrut" style="height: 3em;"></span><span class="frac-line" style="border-bottom-width: 0.04em;"></span></span><span style="top: -3.394em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>, care poate fi simplificat la <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>.</li></ul></li><li><h2><strong>Caz 2: Împărțire Fracții cu numitori diferiți:</strong></h2><p><b><i>Formula</i></b>: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>÷</mo><mfrac><mi>c</mi><mi>d</mi></mfrac><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>⋅</mo><mfrac><mi>d</mi><mi>c</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mo>⋅</mo><mi>d</mi></mrow><mrow><mi>b</mi><mo>⋅</mo><mi>c</mi></mrow></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.0404em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.6954em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>Explicație: Pentru a împărți două fracții cu numitori diferiți, puteți transforma operația de împărțire într-una de înmulțire, inversând fracția care este în numitorul împărțitorului.</p><p><strong>Exemplu 1:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>÷</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 2 și 1, iar numitorii sunt 3 și 4.</li><li>Transformați înmulțirea: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>1</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>2</mn><mo>⋅</mo><mn>4</mn><mo>=</mo><mn>8</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>3</mn><mo>⋅</mo><mn>1</mn><mo>=</mo><mn>3</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span>.</li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>8</mn><mn>3</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span></span></span></span></li></ul><p><strong>Exemplu 2:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>÷</mo><mfrac><mn>2</mn><mn>7</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 1 și 2, iar numitorii sunt 6 și 7.</li><li>Transformați înmulțirea: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>⋅</mo><mfrac><mn>7</mn><mn>2</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mo>⋅</mo><mn>7</mn><mo>=</mo><mn>7</mn></mrow></semantics></math></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>6</mn><mo>⋅</mo><mn>2</mn><mo>=</mo><mn>12</mn></mrow></semantics></math></span></span></span>.</li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>.</li></ul></li></ol><p> </p><p>Formule și exemple de mai sus ar trebui să vă ajute să înțelegeți cum să efectuați împărțirea fracțiilor cu același numitor sau cu numitori diferiți.</p></div></div></div>
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<center><h2> <a href="https://gimnasticamentala.blogspot.com/2023/10/fractii-exercitii-si-probleme-de.html" target="_blank">Rezolva Exercitii cu Fractii</a> </h2></center>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-33431247163904587032023-10-16T16:19:00.006+03:002023-10-16T17:52:26.253+03:00Inmultire fractii Formula Exemple Calculare<p>Pentru înmulțirea fracțiilor cu același numitor și cu numaratori diferiți so pot folosi formulele de calcul de mai jos.</p><h3 style="text-align: left;">Calculatoare Gratuite Fractii:</h3> <ul style="text-align: left;"><li><a href="https://gimnasticamentala.blogspot.com/2015/01/inmultirea-fractiilor-calculator-online.html" target="_blank"><b>Calculator Inmultire Fractii;</b></a><b><div class="separator" style="clear: both; text-align: center;"><a href="https://gimnasticamentala.blogspot.com/2015/01/inmultirea-fractiilor-calculator-online.html" target="_blank"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_3ne2Zsl0k2kCKgOmu2cpD30GfvH0u8qN7THQt0sB1nNQMedUCKChBDOF8bvkI3HBqs0GVCyg1tXINIQy3PujA5YsqQLSguK_Sd2fBhBoRy0hsdkcukaU5t9bXCK_P-ntnYuF_gUnnrIrRoXC1gK3VUvnYBgvAoEHACtLINKobkFA2wHd2AFOFBKI3Vg/s375/inmulti%20fractii.png" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="163" data-original-width="375" height="87" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_3ne2Zsl0k2kCKgOmu2cpD30GfvH0u8qN7THQt0sB1nNQMedUCKChBDOF8bvkI3HBqs0GVCyg1tXINIQy3PujA5YsqQLSguK_Sd2fBhBoRy0hsdkcukaU5t9bXCK_P-ntnYuF_gUnnrIrRoXC1gK3VUvnYBgvAoEHACtLINKobkFA2wHd2AFOFBKI3Vg/w200-h87/inmulti%20fractii.png" width="200" /></a></div><br /></b></li><li><a href="https://gimnasticamentala.blogspot.com/2020/06/fractii-calculator-adunare-scadere.html" target="_blank"><b>Fractii Calculator cu Pasi Rezolvare;</b></a></li><li><b><a href="https://gimnasticamentala.blogspot.com/2011/09/calculator-online-fractii.html" target="_blank">Fractii Multiple Calculator - Adunare , Scadere, Inmultire, Impartire;</a></b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmdc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMDC Calculator Online</b></a></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmmc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMMC Calculator Online</b></a></li></ul><p> </p><ol style="text-align: left;"><li><h2><strong>Cazul 1: Inmultire Fracții cu același numitor (numitor comun):</strong></h2><p><i><b>Formula</b></i>: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>⋅</mo><mfrac><mi>c</mi><mi>b</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mo>⋅</mo><mi>c</mi></mrow><msup><mi>b</mi><mn>2</mn></msup></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.0404em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>Explicație: Pentru a înmulți două fracții cu același numitor, înmulțiți numărătorii împreună și numitorii împreună.</p><p><strong>Exemplu 1:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>⋅</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 2 și 3, iar numitorul comun este 5.</li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>2</mn><mo>⋅</mo><mn>3</mn><mo>=</mo><mn>6</mn></mrow></semantics></math></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>5</mn><mo>⋅</mo><mn>5</mn><mo>=</mo><mn>25</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>6</mn><mn>25</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span></span></span></span></li></ul><p><strong>Exemplu 2:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>⋅</mo><mfrac><mn>2</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 1 și 2, iar numitorul comun este 4.</li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mo>⋅</mo><mn>2</mn><mo>=</mo><mn>2</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>4</mn><mo>⋅</mo><mn>4</mn><mo>=</mo><mn>16</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>16</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>, care poate fi simplificat la <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>8</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span></span></span></span></li></ul></li><li><h2><strong>Cazul 2: </strong><strong>Inmultire </strong><strong>Fracții cu numitori diferiți:</strong></h2><p><b><i>Formula</i></b>: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>⋅</mo><mfrac><mi>c</mi><mi>d</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mo>⋅</mo><mi>c</mi></mrow><mrow><mi>b</mi><mo>⋅</mo><mi>d</mi></mrow></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>Explicație: Pentru a înmulți două fracții cu numitori diferiți, înmulțiți numărătorii împreună și numitorii împreună. Aceasta se datorează proprietății înmulțirii.</p><p><strong>Exemplu 1:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>⋅</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 2 și 1, iar numitorii sunt 3 și 4.</li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>2</mn><mo>⋅</mo><mn>1</mn><mo>=</mo><mn>2</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>3</mn><mo>⋅</mo><mn>4</mn><mo>=</mo><mn>12</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>, care poate fi simplificat la <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span></span></span></span></li></ul><p><strong>Exemplu 2:</strong>
<span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>⋅</mo><mfrac><mn>2</mn><mn>7</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 1 și 2, iar numitorii sunt 6 și 7.</li><li>Înmulțiți numărătorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mo>⋅</mo><mn>2</mn><mo>=</mo><mn>2</mn></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 0.6444em;"></span></span></span></span></span></li><li>Înmulțiți numitorii: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>6</mn><mo>⋅</mo><mn>7</mn><mo>=</mo><mn>42</mn></mrow></semantics></math></span></span></span></li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>42</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span><span style="top: -3.23em;"><span class="pstrut" style="height: 3em;"></span><span class="frac-line" style="border-bottom-width: 0.04em;"></span></span><span style="top: -3.394em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>, care poate fi simplificat la <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>21</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span></span></span></span></li></ul></li></ol><br />
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<center><h2> <a href="https://gimnasticamentala.blogspot.com/2023/10/fractii-exercitii-si-probleme-de.html" target="_blank">Rezolva Exercitii cu Fractii</a> </h2></center>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-27391655639790312282023-10-16T13:55:00.010+03:002023-10-16T17:52:15.803+03:00Adunare Fractii Formule Calcul si Exemple<p>Pentru adunarea fracțiilor cu același numitor și cu Numărători diferiți, trebuie să aducem fracțiile la același numitor comun și apoi să adunăm numaratorii. </p><h3 style="text-align: left;">Calculatoare Fractii:</h3> <ul style="text-align: left;"><li><a href="https://gimnasticamentala.blogspot.com/2015/01/calculator-adunare-fractii-cu-numitori.html" target="_blank"><b>Calculator Adunare Fractii;</b></a></li><li><a href="https://gimnasticamentala.blogspot.com/2020/06/fractii-calculator-adunare-scadere.html" target="_blank"><b>Fractii Calculator cu Pasi Rezolvare;</b></a></li><li><b><a href="https://gimnasticamentala.blogspot.com/2011/09/calculator-online-fractii.html" target="_blank">Fractii Multiple Calculator - Adunare , Scadere, Inmultire, Impartire;</a></b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmdc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMDC Calculator Online</b></a><b>;</b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmmc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMMC Calculator Online</b></a><b>;</b> <br /></li></ul>
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<h1 style="text-align: left;">Formule si Exemple calcul Adunare Fracții</h1><div class="min-h-[20px] flex flex-col items-start gap-3 whitespace-pre-wrap break-words overflow-x-auto"><div class="markdown prose w-full break-words dark:prose-invert dark"><p></p><ol style="text-align: left;"><li><h3><strong>Cazul 1: Adunare Fracții cu același numitor:</strong></h3><p><b>Formula</b>: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>+</mo><mfrac><mi>c</mi><mi>b</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mo>+</mo><mi>c</mi></mrow><mi>b</mi></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.0404em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.6954em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p><strong>Exemplu 1:</strong> <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărători sunt 2 și 3, iar numitorul comun este 5.</li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>2</mn><mo>+</mo><mn>3</mn><mo>=</mo><mn>5 </mn></mrow></semantics></math></span></span></span>, deci rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span><span style="top: -3.23em;"></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>, ceea ce este echivalent cu 1.</li></ul><p><strong>Exemplu 2:</strong> <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>+</mo><mfrac><mn>2</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărători sunt 1 și 2, iar numitorul comun este 4.</li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>1</mn><mo>+</mo><mn>2</mn><mo>=</mo><mn>3 </mn></mrow></semantics></math></span></span></span>, deci rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>.</li></ul></li><li><h3><strong>Cazul 2: Fracții cu numitori diferiți:</strong></h3><p><b>Formula</b>: <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>+</mo><mfrac><mi>c</mi><mi>d</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mi>d</mi><mo>+</mo><mi>b</mi><mi>c</mi></mrow><mrow><mi>b</mi><mi>d</mi></mrow></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p><strong>Exemplu 1:</strong> <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărători sunt 2 și 1, iar numitorii sunt 3 și 4.</li><li>Pentru a aduce fracțiile la un numitor comun, înmulțiți prima fracție cu 4 și a doua fracție cu 3 astfel încât să obțineți același numitor.</li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>2</mn><mn>3</mn></mfrac><mo>⋅</mo><mfrac><mn>4</mn><mn>4</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>⋅</mo><mfrac><mn>3</mn><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>8</mn><mn>12</mn></mfrac><mo>+</mo><mfrac><mn>3</mn><mn>12 </mn></mfrac></mrow></semantics></math></span></span></span></li><li>Acum, aveți același numitor, 12.</li><li>Adunați Numărători : <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>8</mn><mo>+</mo><mn>3</mn><mo>=</mo><mn>11 <br /></mn></mrow></semantics></math></span></span></span></li><li>Deci, rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>11</mn><mn>12</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> <br /></span></span></span></span></span></span></span></span></span></span></span></span></span></li></ul><p><strong>Exemplu 2:</strong> <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>+</mo><mfrac><mn>2</mn><mn>7</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><ul><li>Numărătorii sunt 1 și 2, iar numitorii sunt 6 și 7.</li><li>Înmulțiți prima fracție cu 7 și a doua fracție cu 6 pentru a obține același numitor.</li><li><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>6</mn></mfrac><mo>⋅</mo><mfrac><mn>7</mn><mn>7</mn></mfrac><mo>+</mo><mfrac><mn>2</mn><mn>7</mn></mfrac><mo>⋅</mo><mfrac><mn>6</mn><mn>6</mn></mfrac><mo>=</mo><mfrac><mn>7</mn><mn>42</mn></mfrac><mo>+</mo><mfrac><mn>12</mn><mn>42</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> </span></span></span></span></span></span></span></span></span></span></span></span></span>.</li><li>Acum, aveți același numitor, 42.</li><li>Adunați Numărătorii : <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn> <br /></mn></mrow></semantics></math></span></span></span></li><li>Rezultatul este <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>19</mn><mn>42</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"> <br /></span></span></span></span></span></span><br /></span></span></span></span></span></span></span></li></ul></li></ol><p> </p><p>Rezultatul adunării a două fracții cu același numitor este întotdeauna o fracție cu același numitor.</p><p> </p><h3 style="text-align: left;">Alte Exemple de adunare a două fracții cu același numitor:</h3><p>Exemplu 1:
Adunarea a 1/3 și 2/3:
1/3 + 2/3 = (1 + 2)/3 = 3/3 = 1</p><p>Exemplu 2:
Adunarea a 4/7 și 3/7:
4/7 + 3/7 = (4 + 3)/7 = 7/7 = 1</p><p>Exemplu 3:
Adunarea a 5/8 și 2/8:
5/8 + 2/8 = (5 + 2)/8 = 7/8</p></div></div>
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<a href="https://gimnasticamentala.blogspot.com/2023/10/scadere-fractii-frormule-calcul-si.html" target="_blank" class="buttonP2">Scadere Fractii</a>
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<center><h2> <a href="https://gimnasticamentala.blogspot.com/2023/10/fractii-exercitii-si-probleme-de.html" target="_blank">Rezolva Exercitii cu Fractii</a> </h2></center>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-69510866684449444552023-10-16T13:11:00.006+03:002023-10-16T18:20:08.828+03:00Scădere Fracții Formule Calcul si Exemple<div class="flex flex-grow flex-col gap-3 max-w-full"><div class="min-h-[20px] flex flex-col items-start gap-3 whitespace-pre-wrap break-words overflow-x-auto"><div class="markdown prose w-full break-words dark:prose-invert dark"><p>Scăderea a două fracții se face astfel: </p><ol><li><p>Asigură-te că
ambele fracții au același numitor (denominator). Dacă au deja același
numitor, poți trece direct la pasul următor. Dacă au numitori diferiți,
trebuie să le aduci la un numitor comun. Poți face acest lucru găsind
cel mai mic multiplu comun al numaratorilor (MMCM).</p></li><li><p>După ce ai găsit un numitor comun, scade numaratori unul de la celălalt.</p></li><li><p>Simplifică,
dacă este necesar, fracția rezultată la cea mai simplă formă.
Simplificarea presupune împărțirea atât a numaratorilor, cât și a
numitorilor la cel mai mare divizor comun (CMMDC).</p></li></ol><p></p><h2 style="text-align: left;">Formule Calcul Scadere Fractii</h2><p>Pentru a scădea două fracții cu același numitor, folosești formula simplă de scădere a numeratoarelor:</p><p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>−</mo><mfrac><mi>c</mi><mi>b</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mo>−</mo><mi>c</mi></mrow><mi>b</mi></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.0404em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.6954em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight"> </span></span></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>Pentru a scădea două fracții cu numitori diferiți, trebuie să le aduci la același numitor înainte de a le scădea. Folosești formula:</p><p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac><mo>−</mo><mfrac><mi>c</mi><mi>d</mi></mfrac><mo>=</mo><mfrac><mrow><mi>a</mi><mi>d</mi><mo>−</mo><mi>b</mi><mi>c</mi></mrow><mrow><mi>b</mi><mi>d</mi></mrow></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p></p>
<div class="separator" style="clear: both;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiP538X11oFQjc2Wt8M2-enKDiSbGPs0XvXTdg2Yu8P7Fos9j91E3lOe4YtjCAxkf0DvHjJNciGus27QVcg9YSnpBDtLJAhrSwV9xuxapNzZifBU1f8INedBbJEwFvlhNf_YANvJL6w80BswilTgw8YpiDAwB2U8yeiahEBUCx8Cu-P3LnBYa0Ca6j7FgI/s282/scad%20fractii.png" style="display: block; padding: 1em 0; text-align: center; clear: right; float: right;"><img alt="" border="0" width="200" data-original-height="152" data-original-width="282" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiP538X11oFQjc2Wt8M2-enKDiSbGPs0XvXTdg2Yu8P7Fos9j91E3lOe4YtjCAxkf0DvHjJNciGus27QVcg9YSnpBDtLJAhrSwV9xuxapNzZifBU1f8INedBbJEwFvlhNf_YANvJL6w80BswilTgw8YpiDAwB2U8yeiahEBUCx8Cu-P3LnBYa0Ca6j7FgI/s200/scad%20fractii.png"/></a></div>
<h3 style="text-align: left;">Calculatoare Fractii:</h3> <ul style="text-align: left;"><li><a href="https://gimnasticamentala.blogspot.com/2015/01/scaderea-fractiilor-calculator-online.html" target="_blank">Scaderea Fractiilor Calculator Online</a></li><li><a href="https://gimnasticamentala.blogspot.com/2020/06/fractii-calculator-adunare-scadere.html" target="_blank"><b>Fractii Calculator cu Pasi Rezolvare;</b></a></li><li><b><a href="https://gimnasticamentala.blogspot.com/2011/09/calculator-online-fractii.html" target="_blank">Fractii Multiple Calculator - Adunare , Scadere, Inmultire, Impartire;</a></b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmdc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMDC Calculator Online</b></a><b>;</b></li><li><a href="https://gimnasticamentala.blogspot.com/2015/01/cmmmc-calculator-online-calcul-cel-mai.html" target="_blank"><b>CMMMC Calculator Online</b></a><b>;</b> <br /></li></ul>
<p> </p><p>Exemple de calcul:</p><h3 style="text-align: left;"><b>Exemple Scadere Fractii cu același numitor (denumitor):</b></h3><ol><li><p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>3</mn><mn>5</mn></mfrac><mo>−</mo><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>=</mo><mfrac><mrow><mn>3</mn><mo>−</mo><mn>2</mn></mrow><mn>5</mn></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>5</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></li><li><p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>−</mo><mfrac><mn>4</mn><mn>8</mn></mfrac><mo>=</mo><mfrac><mrow><mn>7</mn><mo>−</mo><mn>4</mn></mrow><mn>8</mn></mfrac><mo>=</mo><mfrac><mn>3</mn><mn>8</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></li></ol><p><b> </b></p><h3 style="text-align: left;"><b>Exemple Scadere Fractii cu numitori diferiți:</b></h3><ol start="3"><li><p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>−</mo><mfrac><mn>2</mn><mn>5</mn></mfrac><mo>=</mo><mfrac><mrow><mn>1</mn><mo>⋅</mo><mn>5</mn><mo>−</mo><mn>2</mn><mo>⋅</mo><mn>3</mn></mrow><mrow><mn>3</mn><mo>⋅</mo><mn>5</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>5</mn><mo>−</mo><mn>6</mn></mrow><mn>15</mn></mfrac><mo>=</mo><mfrac><mrow><mo>−</mo><mn>1</mn></mrow><mn>15</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></li><li><p><span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><mn>5</mn><mn>7</mn></mfrac><mo>−</mo><mfrac><mn>3</mn><mn>4</mn></mfrac><mo>=</mo><mfrac><mrow><mn>5</mn><mo>⋅</mo><mn>4</mn><mo>−</mo><mn>3</mn><mo>⋅</mo><mn>7</mn></mrow><mrow><mn>7</mn><mo>⋅</mo><mn>4</mn></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>20</mn><mo>−</mo><mn>21</mn></mrow><mn>28</mn></mfrac><mo>=</mo><mfrac><mrow><mo>−</mo><mn>1</mn></mrow><mn>28</mn></mfrac></mrow></semantics></math></span><span aria-hidden="true" class="katex-html"><span class="base"><span class="strut" style="height: 1.1901em; vertical-align: -0.345em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8451em;"><span style="top: -2.655em;"><span class="pstrut" style="height: 3em;"></span></span></span></span></span></span></span></span><span class="base"><span class="mord"><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.345em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p></li></ol><p>În cazul fracțiilor cu numitori diferiți, trebuie să găsești un numitor comun și să aduci ambele fracții la același numitor înainte de a le scădea.</p></div></div></div><p></p><p> <br /></p><p>Sa Scădem si fracțiile 3/4 și 1/4.</p><ol><li><p>Avem deja același numitor, care este 4, așa că trecem direct la pasul următor.</p></li><li><p>3/4 - 1/4 = (3 - 1)/4 = 2/4.</p></li><li><p>Simplificăm 2/4 la cea mai simplă formă. CMMDC al lui 2 și 4 este 2, deci împărțim atât numeratoarele, cât și numeritorii la 2:</p><p>(2 ÷ 2) / (4 ÷ 2) = 1/2.</p></li></ol><p>Deci, rezultatul scăderii fracțiilor 3/4 și 1/4 este 1/2.</p>
<div class="container2">
<a href="https://gimnasticamentala.blogspot.com/2023/10/scadere-fractii-frormule-calcul-si.html" target="_blank" class="buttonP2">Scadere Fractii</a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/adunare-fractii-formule-calcul-si.html" target="_blank" class="buttonP2">Adunare Fractii</a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/inmultire-fractii-formula-exemple.html" target="_blank" class="buttonP2">Inmultire Fractii</a>
<a href="https://gimnasticamentala.blogspot.com/2023/10/impartire-fractii-formule-si-exemple.html" target="_blank" class="buttonP2">Impartire Fractii</a>
</div>
<center><h2> <a href="https://gimnasticamentala.blogspot.com/2023/10/fractii-exercitii-si-probleme-de.html" target="_blank">Rezolva Exercitii cu Fractii</a> </h2></center>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-66138844323441067442023-10-14T09:54:00.000+03:002023-10-14T09:54:56.372+03:00Calcularea Mediei cu Teza<p>Calcularea mediei cu teza înseamnă să adaugi nota sau punctajul obținut la teză la media notelor obținute în timpul cursului, materiei și să obții media finală. </p><h3 style="text-align: left;"> <a href="https://gimnasticamentala.blogspot.com/2023/10/media-scolara-calculator-note-cufara.html" target="_blank">Calculator Media Scolara Note cu/fara Nota Teza </a></h3><p>Calculul mediei cu teza diferă în funcție de sistemul de notare specific țării sau instituției, dar în general urmezi acești pași:</p> <ol><li><p><b>Notarea cursului:</b> În funcție de țară sau instituție, notele pentru cursuri și examene pot varia în scala de notare (de exemplu, A, B, C, D, F, sau în țările care folosesc nota de la 1 la 10). Calculează media notelor obținute în cursuri, seminarii și alte evaluări intermediare în funcție de acest sistem de notare.</p></li><li><p><b>Notarea tezei:</b> Nota obținută la teză este adăugată la media notelor din cursuri. Dacă teza este notată pe o scară de notare diferită (de exemplu, cu note numerice sau alte categorii), poate fi nevoie să o convertești în sistemul de notare al cursurilor.</p></li><li><p><b>Adunarea notelor:</b> Adună nota medie a cursurilor cu nota obținută la teză. De exemplu, dacă ai obținut o medie de 8,5 din cursuri / materii și o notă de 9 la teză, adună aceste două valori: 8,5 + 9 = 17,5.</p></li><li><p><b>Calcularea mediei finale: </b>Pentru a obține media finală, împarte suma notelor la numărul total de evaluări. Dacă ai avut 5 cursuri și o teză, împarte suma la 6 (5 cursuri + 1 teză). În exemplul de mai sus, 17,5 / 6 = 2,9166667 sau aproximativ 2,92 (rotunjit la două zecimale).</p></li><li><p><b>Notarea finală:</b> În funcție de politica instituției tale, media finală poate fi notată pe o scară specifică, cum ar fi 1-10 sau A-F. Asigură-te că înțelegi politica de notare a instituției tale pentru a acorda o notă finală corespunzătoare.</p></li></ol><p>Asigură-te că înțelegi cum sunt notate atât cursurile, cât și teza, și cum sunt luate în calcul pentru a determina media finală.</p> John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-17149239723300317922023-10-14T09:39:00.003+03:002023-10-14T09:43:13.419+03:00Media Scolara Calculator Note cu/fara Nota Teza <div class="IntroTr">Calculator de medii şcolare (anuale, trimestriale) din notele obtinute la materii cu sau fara nota de la Teza. Media anuală pe disciplină sau modul. Poti adăuga o notă sau medie prin butonul de la calculator sau manual.
Calculeaza media de la scoala pentru 2, 3, 4, 5, 6, 7, 8, 9 , 10 sau mai multe note / medii scolare. Introdu notele separate de virgula. Poate fi util pentru copii, parinti, afaceri, profesori, elevi, studenți sa afle media pe an sau trimestru. Calcul Media notelor cu 2 zecimale si finala.</div>
<style>
#CalcMdAr {
border: 1px solid #ccc;
max-width: 99%;
margin: 0 auto;
padding: 20px;
box-shadow: 0 0 10px rgba(0, 0, 0, 0.2);
justify-content: center;
text-align: center;
}
#CalcMdAr h1 {
font-size: 24px;
margin-bottom: 20px;
}
#CalcMdAr input, #CalcMdAr select {
width: 95%;
padding: 10px 20px;
margin-bottom: 10px;
font-size: 28px;
border-radius: 5px;
border: 1px solid #ccc;
}
#CalcMdAr button {
background-color: #007bff;
color: #fff;
border: none;
padding: 10px 20px;
cursor: pointer;
border-radius: 5px;
}
#CalcMdAr button:hover {
background-color: #0056b3;
}
#CalcMdAr #rezultat1, #CalcMdAr #rezultat2{
font-size: 25px;
font-weight: bold;
}
#MediiSc
{text-align:left !important;
padding-left:20px;
font-family:Helvetica;
font-size:20px;
}
</style>
<div class="calculator" id="CalcMdAr">
<h1>Calcul Medii Școlare cu/fara Teza</h1>
Introdu notele de la materiile pentru care vrei sa calculezi media scolara, separate de virgula. Exemplu de Note: 7, 5, 8.7,10, 9
<input type="text" id="input-numbers" placeholder="Notele aici! Ex: 7, 5, 8.7,10, 9 " />
<br>
<div>
<button onclick="insertValue(5)">5</button>
<button onclick="insertValue(6)">6</button>
<button onclick="insertValue(7)">7</button>
<button onclick="insertValue(8)">8</button>
<button onclick="insertValue(9)">9</button>
<button onclick="insertValue(10)">10</button>
</div>
<label for="nota-teza">Nota de la Teza:</label>
<select id="nota-teza">
<option value="fara">Fara Teza</option>
<option value="cu">Cu Teza</option>
</select>
<br>
<input type="number" id="teza-grade" placeholder="Introdu nota la teza" style="display: none;" max="10"/>
<button onclick="calculeazaMedie()">Calculează</button>
<button onclick="clearInputs()" style="background:red">X</button>
<br>
<div id="MediiSc">
<p>Media şcolară cu 2 Zecimale: <span id="rezultat1">....</span></p>
<p>Media şcolară Finala: <span id="rezultat2">....</span></p>
</div></div>
<script>
function calculeazaMedie() {
var input = document.getElementById("input-numbers").value;
var numbers = input.split(",");
var sum = 0;
for (var i = 0; i < numbers.length; i++) {
var numWithoutSpaces = numbers[i].trim();
sum += parseFloat(numWithoutSpaces);
}
var notaTeza = document.getElementById("nota-teza").value;
if (notaTeza === "cu") {
var tezaGrade = document.getElementById("teza-grade").value;
sum += parseFloat(tezaGrade);
}
var media = sum / (numbers.length + (notaTeza === "cu" ? 1 : 0));
if (!isNaN(media)) {
document.getElementById("rezultat1").textContent = media.toFixed(2);
document.getElementById("rezultat2").textContent = media.toFixed(0);
} else {
document.getElementById("rezultat").textContent = "Introduceți numere valide.";
}
}
document.getElementById("nota-teza").addEventListener("change", function () {
var tezaGradeInput = document.getElementById("teza-grade");
if (this.value === "cu") {
tezaGradeInput.style.display = "block";
} else {
tezaGradeInput.style.display = "none";
}
calculeazaMedie();
});
function insertValue(value) {
var inputNumbers = document.getElementById("input-numbers");
inputNumbers.value += (inputNumbers.value ? ', ' : '') + value;
}
function clearInputs() {
document.getElementById("input-numbers").value = "";
document.getElementById("teza-grade").value = "";
document.getElementById("rezultat1").textContent = "....";
document.getElementById("rezultat2").textContent = "....";
}
</script>
John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-72466734526369122692023-10-13T23:26:00.014+03:002023-10-14T08:30:22.782+03:00Calculator Medii : Ponderată, Aritmetică, Finală Calculator Medii. Calculeaza gratuit online: Media Aritmetică, Media Ponderată si Media Finală. Util pentru a calcula Medie Note la Facultate, Scoala, Evaluari Job, etc.
<style>
#CalcMdP {
text-align: center;
margin: 0 auto;
width: 98%;
padding: 10px;
border: 1px solid #ccc;
border-radius: 5px;
}
#CalcMdP h1 {
font-size: 24px;
}
#CalcMdP p {
font-size:17px;
text-align:left;
padding-left:20px;
}
#CalcMdP .input-container {
margin: 10px 0;
}
#CalcMdP label {
display: block;
font-weight: bold;
margin-bottom: 5px;
}
#CalcMdP input {
width: 98%;
padding: 9px 12px;
border: 1px solid #ccc;
border-radius: 3px;
font-size:24px;
}
#CalcMdP button {
background-color: #007bff;
color: #fff;
border: none;
border-radius: 3px;
padding: 10px 20px;
font-size: 16px;
cursor: pointer;
}
#CalcMdP button:hover {
background-color: #0056b3;
}
#CalcMdP #mediaPonderata,#mediaFinala , #mediaAritmetica {
font-size: 25px;
font-weight: bold;
}
</style>
<div id="CalcMdP" class="calculator-container">
<h1>Calculator Medii</h1>
<p>Introduceți notele și ponderile lor pentru a calcula: Media Ponderată, Media Aritmetică si Media Finală.</p>
<div>
<label for="note">Note (separate prin virgulă):</label>
<input type="text" id="note" placeholder="Ex: 10, 5, 9">
</div>
<div>
<label for="ponderi">Ponderi (separate prin virgulă):</label>
<input type="text" id="ponderi" placeholder="Ex: 15, 6, 9">
</div>
<br>
<button onclick="calculMedii()">Calculează Medii</button>
<p>Media Ponderată: <span id="mediaPonderata"></span></p>
<p>Media Aritmetică: <span id="mediaAritmetica"></span></p>
<p>Media Finală : <span id="mediaFinala"></span></p>
</div>
<script>
function calculMedii() {
var noteInput = document.getElementById("note").value;
var ponderiInput = document.getElementById("ponderi").value;
var note = noteInput.split(",").map(parseFloat);
var ponderi = ponderiInput.split(",").map(parseFloat);
if (note.some(isNaN) || ponderi.some(isNaN)) {
alert("Introduceți numere valide pentru note și ponderi.");
return;
}
if (note.length !== ponderi.length) {
alert("Numărul de note trebuie să fie egal cu numărul de ponderi.");
return;
}
if (note.length === 0 || ponderi.length === 0) {
alert("Introduceți cel puțin o notă și o pondere.");
return;
}
var sumaProduselor = 0;
var sumaPonderilor = 0;
var sumaAritmetica = 0;
for (var i = 0; i < note.length; i++) {
sumaProduselor += note[i] * ponderi[i];
sumaPonderilor += ponderi[i];
sumaAritmetica += note[i];
}
var mediaPonderata = sumaProduselor / sumaPonderilor;
var mediaAritmetica = sumaAritmetica / note.length;
var mediaFinala = (mediaPonderata + mediaAritmetica) / 2;
document.getElementById("mediaPonderata").textContent = mediaPonderata.toFixed(2);
document.getElementById("mediaAritmetica").textContent = mediaAritmetica.toFixed(2);
document.getElementById("mediaFinala").textContent = mediaFinala.toFixed(2);
}
</script>
<p> </p><ol><li><p><strong>Media Ponderată:</strong></p><ul><li><strong>Ce este:</strong> Media ponderată este o metodă de calcul a mediei în care fiecare valoare (de exemplu, o notă sau o măsură) este înmulțită cu o pondere corespunzătoare și apoi produsele sunt însumate și împărțite la suma ponderilor.</li><li><strong>Beneficii:</strong> Media ponderată este utilă atunci când diferite elemente au importanțe relative diferite în calculul mediei finale. Elementele cu ponderi mai mari au un impact mai semnificativ asupra mediei, în timp ce cele cu ponderi mai mici au un impact redus.</li><li><strong>Exemplu:</strong> Calcularea mediei unei clase, în care fiecare student are note diferite și acestea au ponderi diferite, cum ar fi notele de la diverse materii.</li></ul></li><li><p><strong>Media Aritmetică:</strong></p><ul><li><strong>Ce este:</strong> Media aritmetică este cea mai comună formă de medie și se calculează adunând toate valorile și apoi împărțind la numărul total de valori. Este o medie echitabilă, în care toate elementele au aceeași importanță.</li><li><strong>Beneficii:</strong> Este ușor de calculat și de înțeles și este folosită adesea pentru a obține o reprezentare generală a unui set de date.</li><li><strong>Exemplu:</strong> Calcularea mediei notelor unui student fără a ține cont de ponderi.</li></ul></li><li><p><strong>Media Finală:</strong></p><ul><li><strong>Ce este:</strong> Media finală este o medie calculată în funcție de mai multe alte medii sau valori, de obicei ca o medie ponderată sau ca o combinație a mai multor medii. Poate reprezenta o evaluare globală sau consolidată a datelor sau performanței.</li><li><strong>Beneficii:</strong> Media finală oferă o imagine sintetică sau o evaluare globală care poate reflecta importanța relativă a diferitelor componente ale datelor.</li><li><strong>Exemplu:</strong> Calcularea mediei finale a unui student care a obținut o medie ponderată a notelor pe materii și o medie a notelor la activități extracurriculare. Aceasta poate fi folosită pentru admiterea la facultate sau pentru obținerea unei burse.</li></ul></li></ol>John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0tag:blogger.com,1999:blog-2945279761328417852.post-45350633928683265682023-10-13T23:20:00.008+03:002023-10-13T23:24:27.591+03:00Medie Ponderată Calculator<div class="IntroTr">Calculator Media Ponderata. Acest tip de medie este folosit atunci când anumite vlori, elemente sau seturi de date au o importanță relativă diferită în calculul mediei finale. Potrivit pentru elevi, profesori, parinti, studenți, educatori și profesioniști care au nevoie să calculeze medii ponderate.</div>
<style>
#CalcMdP {
justify-content: center;
text-align: center;
margin: 0 auto;
width: 98%;
padding: 20px;
border: 1px solid #ccc;
border-radius: 5px;
}
#CalcMdP h1 {
font-size: 24px;
}
#CalcMdP p {
font-size:17px;
}
#CalcMdP .input-container {
margin: 10px 0;
}
#CalcMdP label {
display: block;
font-weight: bold;
margin-bottom: 5px;
}
#CalcMdP input {
width: 95%;
padding: 9px 12px;
border: 1px solid #ccc;
border-radius: 3px;
font-size:24px;
}
#CalcMdP button {
background-color: #007bff;
color: #fff;
border: none;
border-radius: 3px;
padding: 10px 20px;
font-size: 16px;
cursor: pointer;
}
#CalcMdP button:hover {
background-color: #0056b3;
}
#CalcMdP #rezultat {
font-size: 25px;
font-weight: bold;
}
</style>
<div id="CalcMdP" class="calculator-container">
<h1>Calculator Medie Ponderată</h1>
<p>Introduceți numerele, valorile, notele și ponderile aferente pentru a calcula media ponderată.</p>
<div>
<label for="note">Note (separate prin virgulă):</label>
<input type="text" id="note" placeholder="Ex: 8, 9, 7">
</div>
<div>
<label for="ponderi">Ponderi (separate prin virgulă):</label>
<input type="text" id="ponderi" placeholder="Ex: 4, 12, 10">
</div>
<br>
<button onclick="calculMediePonderata()">Calculează Media Ponderată</button>
<p>Media Ponderată: <span id="rezultat"></span></p>
</div>
<script>
function calculMediePonderata() {
var noteInput = document.getElementById("note").value;
var ponderiInput = document.getElementById("ponderi").value;
var note = noteInput.split(",").map(parseFloat);
var ponderi = ponderiInput.split(",").map(parseFloat);
// Check for input validity
if (note.some(isNaN) || ponderi.some(isNaN)) {
alert("Introduceți numere valide pentru note și ponderi.");
return;
}
if (note.length !== ponderi.length) {
alert("Numărul de note trebuie să fie egal cu numărul de ponderi.");
return;
}
if (note.length === 0 || ponderi.length === 0) {
alert("Introduceți cel puțin o notă și o pondere.");
return;
}
var sumaProduselor = 0;
var sumaPonderilor = 0;
for (var i = 0; i < note.length; i++) {
sumaProduselor += note[i] * ponderi[i];
sumaPonderilor += ponderi[i];
}
var mediaPonderata = sumaProduselor / sumaPonderilor;
document.getElementById("rezultat").textContent = mediaPonderata.toFixed(2);
}
</script>
<br>
Media ponderată este un instrument valoros pentru a evalua valori sau seturi de date atunci când se dorește să se țină cont de importanța relativă a fiecărui element în calculul mediei finale.
<br>
Media ponderată este o metodă de calcul a unei medii în care fiecare valoare (de exemplu, o notă sau o măsură) este înmulțită cu o pondere corespunzătoare și apoi toate aceste produse sunt însumate și împărțite la suma ponderilor.
<br>
Elementele cu ponderi mai mari au un impact mai semnificativ asupra mediei finale, în timp ce elementele cu ponderi mai mici au un impact mai redus. Formula generală pentru calculul mediei ponderate este:
<br>
Un exemplu obișnuit al utilizării mediei ponderate este în calcularea mediei unui student în cazul în care diverse materii au ponderi diferite. De exemplu, nota la matematică (cu o pondere mai mare) poate avea un impact mai semnificativ asupra mediei generale a studentului decât nota la educație fizică (cu o pondere mai mică).John Silehttp://www.blogger.com/profile/16440948157427469434noreply@blogger.com0