Mixed Number Multiplication Calculator
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: #f8f9fa;
color: #333;
line-height: 1.6;
margin: 0;
padding: 20px;
display: flex;
flex-direction: column;
align-items: center;
}
.calculator-container {
background-color: #ffffff;
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
width: 100%;
max-width: 700px;
margin-bottom: 30px;
border: 1px solid #e0e0e0;
}
h1, h2 {
color: #004a99;
text-align: center;
margin-bottom: 20px;
}
.input-group {
margin-bottom: 20px;
display: flex;
flex-direction: column;
gap: 10px;
}
.input-group label {
font-weight: bold;
display: block;
margin-bottom: 5px;
color: #004a99;
}
.input-group input[type="number"],
.input-group input[type="text"] {
width: 100%;
padding: 12px;
border: 1px solid #ced4da;
border-radius: 4px;
box-sizing: border-box;
font-size: 1rem;
}
.input-group input[type="number"]:focus,
.input-group input[type="text"]:focus {
outline: none;
border-color: #004a99;
box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.2);
}
.mixed-number-input {
display: flex;
gap: 10px;
align-items: center;
}
.mixed-number-input .whole-number {
width: 60px; /* Fixed width for whole number part */
}
.mixed-number-input .numerator,
.mixed-number-input .denominator {
width: 50px; /* Fixed width for fraction parts */
}
.fraction-separator {
font-size: 1.5em;
font-weight: bold;
color: #333;
}
button {
background-color: #28a745;
color: white;
border: none;
padding: 12px 25px;
border-radius: 4px;
cursor: pointer;
font-size: 1.1rem;
transition: background-color 0.3s ease;
width: 100%;
margin-top: 10px;
}
button:hover {
background-color: #218838;
}
.result-container {
margin-top: 30px;
padding: 20px;
background-color: #e7f3ff;
border: 1px solid #a3d2f5;
border-radius: 5px;
text-align: center;
}
.result-container h2 {
margin-bottom: 15px;
color: #004a99;
}
#result {
font-size: 2.2rem;
font-weight: bold;
color: #004a99;
display: block; /* Ensures it takes up its own line */
word-wrap: break-word; /* Prevents long results from overflowing */
}
.explanation {
margin-top: 40px;
padding: 25px;
background-color: #ffffff;
border-radius: 8px;
box-shadow: 0 2px 10px rgba(0, 0, 0, 0.05);
width: 100%;
max-width: 700px;
border: 1px solid #e0e0e0;
}
.explanation h2 {
color: #004a99;
text-align: left;
margin-bottom: 15px;
}
.explanation p, .explanation ul {
margin-bottom: 15px;
color: #555;
}
.explanation ul {
padding-left: 20px;
}
.explanation li {
margin-bottom: 8px;
}
/* Responsive Adjustments */
@media (max-width: 768px) {
.calculator-container, .explanation {
padding: 20px;
}
.mixed-number-input {
flex-wrap: wrap;
justify-content: center;
}
.mixed-number-input .whole-number,
.mixed-number-input .numerator,
.mixed-number-input .denominator {
width: 45%;
min-width: 50px;
}
button {
font-size: 1rem;
}
#result {
font-size: 1.8rem;
}
}
@media (max-width: 480px) {
.mixed-number-input .whole-number,
.mixed-number-input .numerator,
.mixed-number-input .denominator {
width: 40%;
min-width: 40px;
}
.input-group label {
font-size: 0.95rem;
}
.result-container h2, .explanation h2 {
font-size: 1.3rem;
}
}
Mixed Number Multiplication Calculator
Multiply
Understanding Mixed Number Multiplication
Multiplying mixed numbers involves a few key steps. A mixed number combines a whole number and a proper fraction (e.g., 2 1/3). To multiply them, we first convert each mixed number into an improper fraction, then multiply the improper fractions, and finally convert the resulting improper fraction back into a mixed number if desired.
Steps:
1. Convert Mixed Numbers to Improper Fractions: To convert a mixed number (like W a/b ) to an improper fraction, use the formula: (W * b + a) / b.2. Multiply the Improper Fractions: Once both mixed numbers are converted to improper fractions (e.g., n1/d1 and n2/d2 ), multiply them by multiplying the numerators together and the denominators together: (n1 * n2) / (d1 * d2).3. Simplify (Optional but Recommended): Before converting back, simplify the resulting improper fraction by dividing the numerator and denominator by their greatest common divisor (GCD).4. Convert Back to Mixed Number: To convert an improper fraction (N/D ) back to a mixed number, divide the numerator (N) by the denominator (D). The quotient is the whole number part, and the remainder is the new numerator, with the original denominator remaining the same.
Example:
Let's multiply 2 1/4 by 1 1/3 .
Convert 2 1/4: (2 * 4 + 1) / 4 = 9/4Convert 1 1/3: (1 * 3 + 1) / 3 = 4/3Multiply: (9/4) * (4/3) = (9 * 4) / (4 * 3) = 36/12Simplify: 36/12 simplifies to 3/1 (or just 3).Result: The product is 3.
This calculator automates these steps to provide a quick and accurate result.
function gcd(a, b) {
var remainder;
while (b != 0) {
remainder = a % b;
a = b;
b = remainder;
}
return a;
}
function calculateMixedMultiplication() {
var whole1 = parseInt(document.getElementById("mixed1_whole").value) || 0;
var num1 = parseInt(document.getElementById("mixed1_num").value) || 0;
var den1 = parseInt(document.getElementById("mixed1_den").value) || 1; // Default to 1 if empty or invalid
var whole2 = parseInt(document.getElementById("mixed2_whole").value) || 0;
var num2 = parseInt(document.getElementById("mixed2_num").value) || 0;
var den2 = parseInt(document.getElementById("mixed2_den").value) || 1; // Default to 1 if empty or invalid
// Ensure denominators are not zero
if (den1 === 0 || den2 === 0) {
document.getElementById("result").innerText = "Error: Denominator cannot be zero.";
return;
}
// Convert to improper fractions
var impNum1 = (whole1 * den1) + num1;
var impDen1 = den1;
var impNum2 = (whole2 * den2) + num2;
var impDen2 = den2;
// Multiply the improper fractions
var resultNum = impNum1 * impNum2;
var resultDen = impDen1 * impDen2;
// Simplify the resulting fraction
var commonDivisor = gcd(resultNum, resultDen);
resultNum = resultNum / commonDivisor;
resultDen = resultDen / commonDivisor;
// Convert back to a mixed number (if necessary)
var finalWhole = 0;
var finalNum = resultNum;
var finalDen = resultDen;
if (resultNum >= resultDen) {
finalWhole = Math.floor(resultNum / resultDen);
finalNum = resultNum % resultDen;
}
var resultText = "";
if (finalWhole !== 0) {
resultText += finalWhole;
if (finalNum !== 0) {
resultText += " " + finalNum + "/" + finalDen;
}
} else if (finalNum !== 0) {
resultText += finalNum + "/" + finalDen;
} else {
resultText = "0"; // Both numerator and whole part are zero
}
document.getElementById("result").innerText = resultText;
}