#mixed-numbers-calc-container h2 { color: #2c3e50; text-align: center; margin-bottom: 25px; }
.fraction-row { display: flex; align-items: center; justify-content: space-around; flex-wrap: wrap; margin-bottom: 20px; padding: 15px; background: #f8f9fa; border-radius: 6px; }
.fraction-input-group { display: flex; align-items: center; gap: 10px; margin: 10px; }
.mixed-input-box { display: flex; flex-direction: column; align-items: center; }
.fraction-stack { display: flex; flex-direction: column; align-items: center; border-left: 2px solid #ccc; padding-left: 10px; }
.fraction-stack input { width: 60px; text-align: center; padding: 5px; border: 1px solid #ccc; border-radius: 4px; }
.numerator-input { border-bottom: 2px solid #333 !important; border-radius: 0 !important; margin-bottom: 4px; }
.whole-input { width: 70px; height: 50px; text-align: center; font-size: 1.2rem; border: 1px solid #ccc; border-radius: 4px; }
.op-select { padding: 10px; font-size: 1.1rem; border-radius: 4px; border: 1px solid #ccc; cursor: pointer; background: #fff; }
.calc-btn { width: 100%; padding: 15px; background-color: #3498db; color: white; border: none; border-radius: 6px; font-size: 1.1rem; cursor: pointer; transition: background 0.3s; margin-top: 10px; }
.calc-btn:hover { background-color: #2980b9; }
#calc-result-area { margin-top: 25px; padding: 20px; border-radius: 6px; display: none; text-align: center; border: 2px solid #2ecc71; background-color: #fafffb; }
.result-label { font-weight: bold; font-size: 1.1rem; margin-bottom: 10px; color: #27ae60; }
.result-display { font-size: 2rem; display: flex; align-items: center; justify-content: center; gap: 10px; }
.article-section { margin-top: 40px; border-top: 1px solid #eee; padding-top: 25px; }
.article-section h3 { color: #2c3e50; margin-top: 20px; }
label { font-size: 0.85rem; color: #666; margin-bottom: 2px; }
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function gcd(a, b) {
return b ? gcd(b, a % b) : Math.abs(a);
}
function calculateMixedNumbers() {
var w1 = parseInt(document.getElementById('whole1').value) || 0;
var n1 = parseInt(document.getElementById('num1').value) || 0;
var d1 = parseInt(document.getElementById('den1').value) || 1;
var w2 = parseInt(document.getElementById('whole2').value) || 0;
var n2 = parseInt(document.getElementById('num2').value) || 0;
var d2 = parseInt(document.getElementById('den2').value) || 1;
var op = document.getElementById('operation').value;
var resultArea = document.getElementById('calc-result-area');
var resultText = document.getElementById('result-text');
var improperText = document.getElementById('improper-result');
if (d1 === 0 || d2 === 0) {
alert("Denominator cannot be zero.");
return;
}
// Convert to improper fractions
var impN1 = (Math.abs(w1) * d1) + n1;
if (w1 < 0) impN1 = -impN1;
var impD1 = d1;
var impN2 = (Math.abs(w2) * d2) + n2;
if (w2 < 0) impN2 = -impN2;
var impD2 = d2;
var finalN, finalD;
if (op === 'add') {
finalN = (impN1 * impD2) + (impN2 * impD1);
finalD = impD1 * impD2;
} else if (op === 'subtract') {
finalN = (impN1 * impD2) – (impN2 * impD1);
finalD = impD1 * impD2;
} else if (op === 'multiply') {
finalN = impN1 * impN2;
finalD = impD1 * impD2;
} else if (op === 'divide') {
if (impN2 === 0) {
alert("Cannot divide by zero.");
return;
}
finalN = impN1 * impD2;
finalD = impD1 * impN2;
}
// Simplify result
var common = gcd(finalN, finalD);
finalN = finalN / common;
finalD = finalD / common;
// Handle signs
if (finalD < 0) {
finalN = -finalN;
finalD = -finalD;
}
// Convert back to mixed
var finalWhole = Math.trunc(finalN / finalD);
var finalRemainder = Math.abs(finalN % finalD);
var outputHtml = "";
if (finalWhole !== 0 || finalRemainder === 0) {
outputHtml += finalWhole + " ";
}
if (finalRemainder !== 0) {
outputHtml += '
Mixed Numbers Calculator
Result:
What is a Mixed Number?
A mixed number is a combination of a whole number and a proper fraction. For example, if you have 2 full pizzas and 3/4 of another pizza, you have 2 3/4 pizzas. This calculator allows you to add, subtract, multiply, and divide these complex values instantly.
How to Perform Mixed Number Calculations
To manually calculate mixed numbers, follow these standard steps:
- Step 1: Convert to Improper Fractions. Multiply the whole number by the denominator and add the numerator. Example: 2 1/2 becomes (2×2)+1 = 5/2.
- Step 2: Find a Common Denominator. (Required for Addition and Subtraction). Ensure both fractions have the same bottom number.
- Step 3: Apply the Operation. Add, subtract, multiply, or divide the numerators.
- Step 4: Simplify. Reduce the resulting fraction to its lowest terms.
- Step 5: Convert Back. Change the improper fraction back into a mixed number if the numerator is larger than the denominator.
Example Calculation
Problem: 1 1/2 + 1 1/4
Solution:
1. Convert to improper: 3/2 + 5/4
2. Common denominator: 6/4 + 5/4
3. Add: 11/4
4. Convert to mixed: 2 3/4
' + finalRemainder + '' + finalD + '
';
}
resultText.innerHTML = outputHtml;
improperText.innerHTML = "Improper Fraction: " + finalN + "/" + finalD;
resultArea.style.display = "block";
}