Fraction Conversion Calculator
:root {
–primary-blue: #004a99;
–success-green: #28a745;
–light-background: #f8f9fa;
–text-dark: #333;
–border-color: #ccc;
}
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: var(–light-background);
color: var(–text-dark);
line-height: 1.6;
margin: 0;
padding: 20px;
}
.loan-calc-container {
max-width: 700px;
margin: 30px auto;
background-color: #fff;
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
border: 1px solid var(–border-color);
}
h1, h2 {
color: var(–primary-blue);
text-align: center;
margin-bottom: 25px;
}
.input-group {
margin-bottom: 20px;
display: flex;
flex-wrap: wrap;
align-items: center;
gap: 15px;
padding: 15px;
border: 1px solid var(–border-color);
border-radius: 5px;
background-color: #fff;
}
.input-group label {
flex: 1 1 150px;
font-weight: bold;
color: var(–primary-blue);
text-align: right;
}
.input-group input[type="number"],
.input-group select {
flex: 1 1 200px;
padding: 12px;
border: 1px solid var(–border-color);
border-radius: 4px;
font-size: 1rem;
box-sizing: border-box;
}
.input-group input[type="number"]:focus,
.input-group select:focus {
border-color: var(–primary-blue);
outline: none;
box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.2);
}
.button-group {
text-align: center;
margin-top: 25px;
}
button {
background-color: var(–primary-blue);
color: white;
padding: 12px 25px;
border: none;
border-radius: 5px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
}
button:hover {
background-color: #003366;
}
#result {
margin-top: 30px;
padding: 20px;
background-color: var(–success-green);
color: white;
text-align: center;
font-size: 1.8rem;
font-weight: bold;
border-radius: 5px;
min-height: 50px;
display: flex;
align-items: center;
justify-content: center;
word-wrap: break-word; /* Ensures long fractions wrap */
}
.article-section {
max-width: 700px;
margin: 40px auto;
padding: 30px;
background-color: #fff;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
border: 1px solid var(–border-color);
}
.article-section h2 {
text-align: left;
color: var(–primary-blue);
margin-bottom: 15px;
}
.article-section p,
.article-section ul,
.article-section li {
margin-bottom: 15px;
}
.article-section code {
background-color: var(–light-background);
padding: 2px 6px;
border-radius: 3px;
font-family: Consolas, Monaco, 'Andale Mono', 'Ubuntu Mono', monospace;
}
/* Responsive adjustments */
@media (max-width: 600px) {
.input-group {
flex-direction: column;
align-items: stretch;
}
.input-group label {
text-align: left;
margin-bottom: 5px;
}
.input-group input[type="number"],
.input-group select {
width: 100%;
}
.loan-calc-container, .article-section {
padding: 20px;
}
h1 {
font-size: 1.8rem;
}
#result {
font-size: 1.5rem;
}
}
Fraction Conversion Calculator
Numerator:
Denominator:
Convert To:
Decimal
Percentage
Convert Fraction
Understanding Fraction Conversions
Fractions represent a part of a whole. They are commonly expressed as a ratio of two numbers: a numerator (the top number, indicating how many parts you have) and a denominator (the bottom number, indicating how many equal parts make up the whole). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator, meaning you have 3 out of 4 equal parts.
Converting fractions to other numerical forms, such as decimals and percentages, is a fundamental skill in mathematics with practical applications in everyday life, finance, science, and engineering. This calculator helps you easily perform these conversions.
How the Conversion Works
1. Fraction to Decimal Conversion:
To convert a fraction to a decimal, you simply divide the numerator by the denominator. This is the most direct form of conversion.
Formula: Decimal = Numerator / Denominator
For example, to convert 3/4 to a decimal:
3 ÷ 4 = 0.75
2. Fraction to Percentage Conversion:
To convert a fraction to a percentage, you first convert it to a decimal (as described above) and then multiply the decimal by 100. Percentages represent a value out of one hundred, hence the multiplication by 100.
Formula: Percentage = (Numerator / Denominator) * 100
Using the same example, 3/4:
Step 1: Convert to decimal: 3 ÷ 4 = 0.75
Step 2: Multiply by 100: 0.75 * 100 = 75%
Use Cases for Fraction Conversions:
Everyday Life: Understanding recipes (e.g., 1/2 cup), calculating discounts (e.g., 1/3 off), interpreting measurements.Finance: Calculating interest rates (though often expressed as decimals or percentages directly), understanding profit margins, analyzing financial reports.Science and Engineering: Expressing ratios, proportions, and probabilities in a more digestible format.Academics: Solving mathematical problems, understanding statistical data, and completing homework assignments.
This calculator provides a quick and accurate way to perform these conversions, helping you understand numerical relationships more clearly.
function gcd (a, b) {
var a = Math.abs(a);
var b = Math.abs(b);
while (b) {
var t = b;
b = a % b;
a = t;
}
return a;
}
function simplifyFraction(numerator, denominator) {
if (denominator === 0) {
return "Undefined (denominator cannot be zero)";
}
if (numerator === 0) {
return "0";
}
var commonDivisor = gcd(numerator, denominator);
var simplifiedNumerator = numerator / commonDivisor;
var simplifiedDenominator = denominator / commonDivisor;
if (simplifiedDenominator < 0) {
simplifiedNumerator = -simplifiedNumerator;
simplifiedDenominator = -simplifiedDenominator;
}
if (simplifiedDenominator === 1) {
return String(simplifiedNumerator);
} else {
return simplifiedNumerator + "/" + simplifiedDenominator;
}
}
function calculateFraction() {
var numeratorInput = document.getElementById("numerator");
var denominatorInput = document.getElementById("denominator");
var conversionType = document.getElementById("conversionType").value;
var resultDiv = document.getElementById("result");
var numerator = parseFloat(numeratorInput.value);
var denominator = parseFloat(denominatorInput.value);
resultDiv.style.backgroundColor = "#28a745"; // Reset to default success green
if (isNaN(numerator) || isNaN(denominator)) {
resultDiv.textContent = "Please enter valid numbers for numerator and denominator.";
resultDiv.style.backgroundColor = "#dc3545"; // Error red
return;
}
if (denominator === 0) {
resultDiv.textContent = "Error: Denominator cannot be zero.";
resultDiv.style.backgroundColor = "#dc3545"; // Error red
return;
}
var decimalValue = numerator / denominator;
if (conversionType === "decimal") {
var result = decimalValue.toFixed(6); // Display up to 6 decimal places
resultDiv.textContent = "Decimal: " + result;
} else if (conversionType === "percentage") {
var percentageValue = decimalValue * 100;
var result = percentageValue.toFixed(2) + "%"; // Display percentage with 2 decimal places
resultDiv.textContent = "Percentage: " + result;
}
// Optionally, show the simplified fraction as well
var simplified = simplifyFraction(numerator, denominator);
if (typeof simplified === 'string' && simplified.includes('/')) {
resultDiv.textContent += " (Simplified: " + simplified + ")";
} else if (typeof simplified === 'string' && simplified !== "0" && !simplified.includes('/')) {
resultDiv.textContent += " (Simplified: " + simplified + ")";
}
}