Divide Fraction Calculator

:root {
–primary-color: #004a99;
–success-color: #28a745;
–background-color: #f8f9fa;
–text-color: #333;
–border-color: #ddd;
–card-background: #fff;
–shadow: 0 2px 5px rgba(0,0,0,0.1);
}
body {
font-family: ‘Segoe UI’, Tahoma, Geneva, Verdana, sans-serif;
background-color: var(–background-color);
color: var(–text-color);
line-height: 1.6;
margin: 0;
padding: 0;
display: flex;
flex-direction: column;
align-items: center;
padding-top: 20px;
padding-bottom: 40px;
}
.container {
width: 100%;
max-width: 960px;
background-color: var(–card-background);
padding: 30px;
border-radius: 8px;
box-shadow: var(–shadow);
margin-bottom: 30px;
}
h1, h2, h3 {
color: var(–primary-color);
text-align: center;
margin-bottom: 20px;
}
h1 {
font-size: 2.2em;
}
h2 {
font-size: 1.8em;
margin-top: 30px;
border-bottom: 2px solid var(–primary-color);
padding-bottom: 10px;
}
h3 {
font-size: 1.4em;
margin-top: 25px;
}
.calculator-section {
background-color: var(–card-background);
padding: 30px;
border-radius: 8px;
box-shadow: var(–shadow);
margin-bottom: 30px;
}
.loan-calc-container {
display: flex;
flex-direction: column;
gap: 20px;
}
.input-group {
display: flex;
flex-direction: column;
gap: 8px;
}
.input-group label {
font-weight: bold;
color: var(–primary-color);
}
.input-group input[type=”number”],
.input-group input[type=”text”] {
padding: 12px;
border: 1px solid var(–border-color);
border-radius: 4px;
font-size: 1em;
width: 100%;
box-sizing: border-box;
}
.input-group input[type=”number”]:focus,
.input-group input[type=”text”]:focus {
outline: none;
border-color: var(–primary-color);
box-shadow: 0 0 0 2px rgba(0, 74, 153, 0.2);
}
.input-group .helper-text {
font-size: 0.85em;
color: #666;
}
.error-message {
color: red;
font-size: 0.85em;
margin-top: 5px;
min-height: 1.2em; /* Prevent layout shift */
}
.button-group {
display: flex;
gap: 15px;
margin-top: 25px;
flex-wrap: wrap; /* Allow wrapping on smaller screens */
}
button {
padding: 12px 25px;
border: none;
border-radius: 5px;
cursor: pointer;
font-size: 1em;
font-weight: bold;
transition: background-color 0.3s ease, transform 0.2s ease;
white-space: nowrap; /* Prevent button text from breaking */
}
button.primary {
background-color: var(–primary-color);
color: white;
}
button.primary:hover {
background-color: #003366;
transform: translateY(-1px);
}
button.secondary {
background-color: #6c757d;
color: white;
}
button.secondary:hover {
background-color: #5a6268;
transform: translateY(-1px);
}
button.success {
background-color: var(–success-color);
color: white;
}
button.success:hover {
background-color: #218838;
transform: translateY(-1px);
}
#result {
margin-top: 30px;
padding: 25px;
background-color: var(–primary-color);
color: white;
border-radius: 6px;
text-align: center;
box-shadow: inset 0 0 10px rgba(0,0,0,0.2);
}
#result h3 {
color: white;
margin-bottom: 15px;
font-size: 1.6em;
}
#result .main-result {
font-size: 2.5em;
font-weight: bold;
margin-bottom: 10px;
word-break: break-all; /* Handle long fractions */
}
#result .intermediate-values {
font-size: 1.1em;
margin-top: 15px;
opacity: 0.9;
}
#result .formula-explanation {
font-size: 0.95em;
margin-top: 15px;
opacity: 0.8;
font-style: italic;
}
.chart-container {
margin-top: 30px;
padding: 25px;
background-color: var(–card-background);
border-radius: 8px;
box-shadow: var(–shadow);
text-align: center;
}
canvas {
max-width: 100%;
height: auto;
}
.chart-caption {
font-size: 0.9em;
color: #666;
margin-top: 10px;
}
table {
width: 100%;
border-collapse: collapse;
margin-top: 30px;
box-shadow: var(–shadow);
}
th, td {
padding: 12px 15px;
text-align: left;
border: 1px solid var(–border-color);
}
thead {
background-color: var(–primary-color);
color: white;
}
tbody tr:nth-child(even) {
background-color: #f2f2f2;
}
tbody tr:hover {
background-color: #e9ecef;
}
.table-caption {
font-size: 0.9em;
color: #666;
margin-bottom: 10px;
text-align: center;
display: block;
}
.article-content {
margin-top: 30px;
background-color: var(–card-background);
padding: 30px;
border-radius: 8px;
box-shadow: var(–shadow);
text-align: left; /* Align article text left */
}
.article-content p, .article-content ul, .article-content ol {
margin-bottom: 15px;
font-size: 1.05em;
}
.article-content ul, .article-content ol {
padding-left: 25px;
}
.article-content li {
margin-bottom: 8px;
}
.article-content a {
color: var(–primary-color);
text-decoration: none;
font-weight: bold;
}
.article-content a:hover {
text-decoration: underline;
}
.faq-item {
margin-bottom: 20px;
padding: 15px;
background-color: var(–background-color);
border-left: 4px solid var(–primary-color);
border-radius: 4px;
}
.faq-item h4 {
margin-top: 0;
margin-bottom: 8px;
color: var(–primary-color);
font-size: 1.2em;
text-align: left;
}
.faq-item p {
margin-bottom: 0;
font-size: 1em;
}
.related-links ul {
list-style: none;
padding: 0;
}
.related-links li {
margin-bottom: 15px;
}
.related-links a {
font-weight: bold;
font-size: 1.1em;
}
.related-links span {
display: block;
font-size: 0.9em;
color: #555;
margin-top: 5px;
}
.fraction-input {
display: flex;
align-items: center;
gap: 10px;
flex-wrap: wrap;
}
.fraction-input .numerator,
.fraction-input .denominator {
flex: 1;
min-width: 80px;
}
.fraction-input .fraction-bar {
font-size: 2em;
line-height: 1;
color: var(–primary-color);
margin: 0 5px;
}
.fraction-input .input-group {
flex-direction: row; /* Align label and input horizontally */
align-items: center;
gap: 5px;
}
.fraction-input .input-group label {
white-space: nowrap; /* Prevent label wrapping */
}
.fraction-input .input-group input {
width: 70px; /* Smaller width for fraction parts */
text-align: center;
}
.fraction-input .error-message {
width: 100%; /* Ensure error message takes full width */
}
.fraction-display {
font-size: 1.8em;
font-weight: bold;
color: var(–primary-color);
display: inline-block;
margin-left: 10px;
margin-right: 10px;
line-height: 1.2;
text-align: center;
word-break: break-all;
}
.fraction-display .numerator,
.fraction-display .denominator {
display: block;
padding: 0 5px;
}
.fraction-display .denominator {
border-top: 2px solid var(–primary-color);
}
.fraction-display.mixed-number {
font-size: 1.4em;
}
.fraction-display.mixed-number .whole {
display: inline-block;
margin-right: 5px;
vertical-align: top;
}
.fraction-display.mixed-number .fraction {
display: inline-block;
vertical-align: top;
line-height: 1.1;
}
.fraction-display.mixed-number .fraction .denominator {
margin-top: 0;
}
.fraction-display.decimal {
font-size: 1.8em;
font-weight: bold;
color: var(–primary-color);
margin-left: 10px;
margin-right: 10px;
}
.fraction-display.decimal-label {
font-size: 1em;
font-weight: normal;
color: #555;
margin-left: 5px;
margin-right: 0;
vertical-align: middle;
}
.chart-legend {
display: flex;
justify-content: center;
gap: 20px;
margin-top: 15px;
flex-wrap: wrap;
}
.legend-item {
display: flex;
align-items: center;
gap: 8px;
}
.legend-color {
display: inline-block;
width: 15px;
height: 15px;
border-radius: 3px;
}
.legend-text {
font-size: 0.9em;
color: #555;
}
@media (min-width: 600px) {
.fraction-input {
align-items: flex-start; /* Align items to top for better error message display */
}
.fraction-input .input-group {
flex-direction: column; /* Stack label and input on larger screens */
align-items: flex-start;
gap: 8px;
}
.fraction-input .fraction-bar {
margin-top: 15px; /* Adjust margin for vertical alignment */
}
.fraction-input .input-group input {
width: 100%; /* Full width for inputs when stacked */
}
.button-group {
justify-content: flex-start;
}
}

Simplify and understand the process of dividing fractions with our intuitive online tool.

Fraction Division Calculator

Fraction Division Steps and Values

Step	Description	Value
1	Dividend (Fraction 1)	—
2	Divisor (Fraction 2)	—
3	Reciprocal of Divisor	—
4	Multiply Dividend by Reciprocal	—
5	Simplified Result	—
6	Result as Decimal	—

What is Divide Fraction Calculator?

A divide fraction calculator is an online tool designed to simplify the process of dividing one fraction by another. It takes two fractions as input – a dividend and a divisor – and outputs the quotient, often in its simplest form. This calculator is invaluable for students learning arithmetic, educators creating lesson plans, and anyone who needs to perform fraction division quickly and accurately without manual calculation. It demystifies a mathematical operation that can sometimes be confusing, especially when dealing with complex fractions or mixed numbers. Common misconceptions include thinking that dividing by a fraction makes the result smaller (like with whole numbers) or incorrectly applying the reciprocal rule.

Fraction Division Formula and Mathematical Explanation

The core principle behind dividing fractions is transforming the division problem into a multiplication problem. The formula for dividing fraction A/B by fraction C/D is:

AB
÷
CD
=
AB
×
DC
=
A × DB × C

Let’s break down the process:

1. Identify the Dividend and Divisor: The first fraction is the dividend, and the second fraction is the divisor.
2. Find the Reciprocal of the Divisor: The reciprocal of a fraction is obtained by flipping it upside down. If the divisor is C/D, its reciprocal is D/C.
3. Multiply: Multiply the dividend (A/B) by the reciprocal of the divisor (D/C).
4. Simplify: Multiply the numerators together (A × D) and the denominators together (B × C). The resulting fraction (AD/BC) should then be simplified to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Variable Explanations:

Variable	Meaning	Unit	Typical Range
A, C	Numerator of the dividend and divisor, respectively.	Countless	Integers (typically non-negative)
B, D	Denominator of the dividend and divisor, respectively.	Countless	Positive Integers (cannot be zero)
A/B	The dividend fraction.	Ratio	Any valid fraction
C/D	The divisor fraction.	Ratio	Any valid fraction (C/D cannot be 0/D)
D/C	The reciprocal of the divisor.	Ratio	Any valid fraction (C cannot be zero)
AD / BC	The resulting quotient before simplification.	Ratio	Any valid fraction

Practical Examples (Real-World Use Cases)

Understanding fraction division is crucial in various practical scenarios. Here are a couple of examples:

Example 1: Baking Recipe Adjustment

A recipe calls for 3/4 cup of flour, but you only want to make 1/2 of the recipe. How much flour do you need?

Inputs:

• Dividend: 3/4 cup
• Divisor: 1/2

Calculation:

Divide 3/4 by 1/2:

34
÷
12
=
34
×
21
=
64

Simplification: 6/4 simplifies to 3/2.

Result: You need 3/2 cups (or 1 and 1/2 cups) of flour.

Interpretation: Since you’re making half the recipe, you need half the amount of flour. Dividing the original amount by 2 (which is the same as multiplying by 1/2) correctly determines the new quantity.

Example 2: Sharing Resources

You have 5/8 of a pizza left, and you want to divide it equally among 3 friends. What fraction of the whole pizza does each friend get?

Inputs:

• Dividend: 5/8 of the pizza
• Divisor: 3 (which can be written as 3/1)

Calculation:

58
÷
31
=
58
×
13
=
524

Simplification: 5/24 is already in its simplest form.

Result: Each friend gets 5/24 of the whole pizza.

Interpretation: Dividing the remaining pizza (5/8) by the number of people (3) correctly distributes the resource equally.

How to Use This Divide Fraction Calculator

Using our divide fraction calculator is straightforward. Follow these steps:

1. Enter the Dividend: Input the numerator and denominator for the first fraction (the one being divided).
2. Enter the Divisor: Input the numerator and denominator for the second fraction (the one you are dividing by).
3. Click Calculate: Press the “Calculate Division” button.

Reading the Results:

• Main Result: This displays the final quotient, simplified to its lowest terms.
• Simplified Dividend: Shows the first fraction as entered.
• Reciprocal of Divisor: Displays the flipped version of the second fraction.
• Result as Improper Fraction: The direct result of multiplying the dividend by the reciprocal, before simplification.

Decision-Making Guidance: The calculator provides the exact mathematical answer. Use this to verify your own calculations, solve homework problems, or quickly determine outcomes in practical situations like recipe scaling or resource allocation. The visual chart and table offer further clarity on the process and intermediate steps.

Key Factors That Affect Divide Fraction Results

While the mathematical process of dividing fractions is fixed, several factors influence the interpretation and application of the results:

1. Numerator and Denominator Values: The specific numbers chosen for the numerators and denominators directly determine the magnitude of the fractions and, consequently, the final quotient. Larger numerators or smaller denominators generally lead to larger fractional values.
2. Simplification Accuracy: Ensuring the final fraction is reduced to its lowest terms is crucial for a clear and standard answer. Failing to simplify can lead to a correct but cumbersome result.
3. Zero Denominators: A denominator of zero is mathematically undefined. If either input fraction has a zero denominator, the calculation is impossible. Our calculator prevents this by setting minimum values for denominators.
4. Zero Numerator in Divisor: Dividing by zero is undefined. If the numerator of the divisor fraction is zero (e.g., dividing by 0/2), the operation is invalid.
5. Mixed Numbers vs. Improper Fractions: While the calculator works with improper fractions, real-world problems might present numbers as mixed numbers (e.g., 1 1/2). These must be converted to improper fractions (3/2) before using the division formula.
6. Context of the Problem: The meaning of the result depends entirely on what the fractions represent. Dividing pizza slices yields a different interpretation than dividing lengths or time intervals. Always consider the units and context.
7. Rounding for Decimals: When converting the fractional result to a decimal, the number of decimal places used for rounding can affect precision. Choose a level of precision appropriate for the application.
8. Negative Fractions: While this calculator focuses on positive fractions, division rules apply to negative numbers as well. An odd number of negative signs results in a negative quotient, while an even number results in a positive quotient.

Frequently Asked Questions (FAQ)

Q1: What does it mean to divide fractions?

Dividing fractions means finding out how many times one fraction fits into another. It’s essentially asking “how many groups of the divisor can be made from the dividend?”.

Q2: Why do you multiply by the reciprocal when dividing fractions?

Multiplying by the reciprocal is a mathematical shortcut derived from the properties of division and multiplication. It transforms the division problem into an equivalent multiplication problem that yields the same result.

Q3: Can the numerator or denominator be negative?

While this calculator primarily handles positive fractions, the rules of fraction division extend to negative numbers. A negative numerator or denominator affects the sign of the result. However, denominators cannot be zero.

Q4: What happens if the divisor is a whole number?

Treat the whole number as a fraction with a denominator of 1. For example, to divide 1/2 by 3, you divide 1/2 by 3/1. You then multiply 1/2 by the reciprocal of 3/1, which is 1/3, resulting in 1/6.

Q5: How do I simplify the result?

To simplify a fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both by the GCD. For example, 6/8 simplifies to 3/4 because the GCD of 6 and 8 is 2.

Q6: Can I divide a fraction by a mixed number?

Yes, but you must first convert the mixed number into an improper fraction. For example, to divide 2/3 by 1 1/4, first convert 1 1/4 to 5/4. Then, divide 2/3 by 5/4.

Q7: What if the result is an improper fraction?

An improper fraction (where the numerator is larger than the denominator) is a valid result. You can leave it as is, or convert it to a mixed number if needed for context (e.g., 7/4 can be written as 1 3/4).

Q8: Does the order of fractions matter in division?

Yes, fraction division is not commutative. The order matters significantly. For example, 3/4 divided by 1/2 (which is 3/4 * 2/1 = 6/4 = 3/2) is different from 1/2 divided by 3/4 (which is 1/2 * 4/3 = 4/6 = 2/3).

var chartInstance = null; // Global variable to hold chart instance

function gcd(a, b) {
var absA = Math.abs(a);
var absB = Math.abs(b);
while (absB) {
var temp = absB;
absB = absA % absB;
absA = temp;
}
return absA;
}

function simplifyFraction(numerator, denominator) {
if (denominator === 0) return { num: NaN, den: NaN };
if (numerator === 0) return { num: 0, den: 1 };

var commonDivisor = gcd(numerator, denominator);
var simplifiedNumerator = numerator / commonDivisor;
var simplifiedDenominator = denominator / commonDivisor;

// Ensure denominator is positive
if (simplifiedDenominator = den) {
var whole = Math.floor(num / den);
var remainingNum = num % den;
if (remainingNum === 0) {
return whole.toString();
}
// Ensure remainingNum is positive if whole is negative
if (whole 0) {
remainingNum = -remainingNum;
}
return whole + ” ” + Math.abs(remainingNum) + “/” + den;
}

return num + “/” + den;
}

function formatDecimal(numerator, denominator, precision = 4) {
if (isNaN(numerator) || isNaN(denominator) || denominator === 0) {
return “–“;
}
var value = numerator / denominator;
return value.toFixed(precision);
}

function updateChart(n1, d1, n2, d2) {
var canvas = document.getElementById(‘divisionChart’);
var ctx = canvas.getContext(‘2d’);

// Clear previous chart
if (chartInstance) {
chartInstance.destroy();
}

// Calculate values for chart representation
var dividendValue = n1 / d1;
var divisorValue = n2 / d2;
var resultValue = (n1 * d2) / (d1 * n2);

// Ensure values are not NaN or Infinity
dividendValue = isNaN(dividendValue) || !isFinite(dividendValue) ? 0 : dividendValue;
divisorValue = isNaN(divisorValue) || !isFinite(divisorValue) ? 0 : divisorValue;
resultValue = isNaN(resultValue) || !isFinite(resultValue) ? 0 : resultValue;

// Determine max value for scaling the chart
var maxValue = Math.max(dividendValue, divisorValue, resultValue);
if (maxValue === 0) maxValue = 1; // Avoid division by zero if all are zero

// Scale values for better visualization if they are very small or large
var scaleFactor = 1;
if (maxValue 0) {
scaleFactor = 1 / maxValue * 2; // Scale up small values
} else if (maxValue > 10) {
scaleFactor = 10 / maxValue; // Scale down large values
}

var scaledDividend = dividendValue * scaleFactor;
var scaledDivisor = divisorValue * scaleFactor;
var scaledResult = resultValue * scaleFactor;

// Adjust bar heights to be visually distinct, especially when result is small
var barHeightDividend = scaledDividend > 0 ? Math.max(scaledDividend, 0.1) : 0;
var barHeightDivisor = scaledDivisor > 0 ? Math.max(scaledDivisor, 0.1) : 0;
var barHeightResult = scaledResult > 0 ? Math.max(scaledResult, 0.1) : 0;

chartInstance = new Chart(ctx, {
type: ‘bar’,
data: {
labels: [‘Dividend’, ‘Divisor’, ‘Result’],
datasets: [{
label: ‘Dividend Value’,
data: [barHeightDividend, 0, 0],
backgroundColor: ‘rgba(0, 74, 153, 0.7)’, // Primary color
borderColor: ‘rgba(0, 74, 153, 1)’,
borderWidth: 1
}, {
label: ‘Divisor Value’,
data: [0, barHeightDivisor, 0],
backgroundColor: ‘rgba(255, 193, 7, 0.7)’, // Success color alternative
borderColor: ‘rgba(255, 193, 7, 1)’,
borderWidth: 1
}, {
label: ‘Result Value’,
data: [0, 0, barHeightResult],
backgroundColor: ‘rgba(40, 167, 69, 0.7)’, // Success color
borderColor: ‘rgba(40, 167, 69, 1)’,
borderWidth: 1
}]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
y: {
beginAtZero: true,
title: {
display: true,
text: ‘Scaled Value’
},
ticks: {
// Format ticks if needed, e.g., to show original values if scaling is significant
}
}
},
plugins: {
legend: {
display: false // Legend is handled by custom div
},
tooltip: {
callbacks: {
label: function(context) {
var label = context.dataset.label || ”;
if (label) {
label += ‘: ‘;
}
if (context.parsed.y) {
// Display original values in tooltip for clarity
var originalValue;
if (context.label === ‘Dividend’) originalValue = dividendValue;
else if (context.label === ‘Divisor’) originalValue = divisorValue;
else if (context.label === ‘Result’) originalValue = resultValue;
else originalValue = context.parsed.y / scaleFactor; // Fallback

label += originalValue.toFixed(4); // Show original value
}
return label;
}
}
}
}
}
});
}

function calculateDivision() {
var n1 = parseFloat(document.getElementById(‘numerator1’).value);
var d1 = parseFloat(document.getElementById(‘denominator1’).value);
var n2 = parseFloat(document.getElementById(‘numerator2’).value);
var d2 = parseFloat(document.getElementById(‘denominator2’).value);

// Clear previous errors
document.getElementById(‘errorNumerator1’).textContent = ”;
document.getElementById(‘errorDenominator1’).textContent = ”;
document.getElementById(‘errorNumerator2’).textContent = ”;
document.getElementById(‘errorDenominator2’).textContent = ”;

var isValid = true;

if (isNaN(n1)) { document.getElementById(‘errorNumerator1’).textContent = ‘Please enter a valid number.’; isValid = false; }
if (isNaN(d1)) { document.getElementById(‘errorDenominator1’).textContent = ‘Please enter a valid number.’; isValid = false; }
if (isNaN(n2)) { document.getElementById(‘errorNumerator2’).textContent = ‘Please enter a valid number.’; isValid = false; }
if (isNaN(d2)) { document.getElementById(‘errorDenominator2’).textContent = ‘Please enter a valid number.’; isValid = false; }

if (d1 <= 0) { document.getElementById('errorDenominator1').textContent = 'Denominator must be positive.'; isValid = false; }
if (d2 <= 0) { document.getElementById('errorDenominator2').textContent = 'Denominator must be positive.'; isValid = false; }
if (n2 === 0) { document.getElementById('errorNumerator2').textContent = 'Divisor numerator cannot be zero.'; isValid = false; }

if (!isValid) {
// Clear results if invalid
document.getElementById('mainResult').textContent = '–';
document.getElementById('simplifiedDividend').textContent = '–';
document.getElementById('reciprocalDivisor').textContent = '–';
document.getElementById('improperFractionResult').textContent = '–';
updateTable('–', '–', '–', '–', '–', '–');
updateChart(0, 1, 0, 1); // Reset chart
return;
}

var dividendFraction = formatFraction(n1, d1);
var divisorFraction = formatFraction(n2, d2);
var reciprocalNumerator = d2;
var reciprocalDenominator = n2;
var reciprocalFraction = formatFraction(reciprocalNumerator, reciprocalDenominator);

var resultNumerator = n1 * reciprocalNumerator;
var resultDenominator = d1 * reciprocalDenominator;

var improperFractionResult = formatFraction(resultNumerator, resultDenominator);
var simplifiedResult = simplifyFraction(resultNumerator, resultDenominator);
var mainResult = formatFraction(simplifiedResult.num, simplifiedResult.den);
var decimalResult = formatDecimal(simplifiedResult.num, simplifiedResult.den);

document.getElementById('mainResult').textContent = mainResult;
document.getElementById('simplifiedDividend').textContent = dividendFraction;
document.getElementById('reciprocalDivisor').textContent = formatFraction(reciprocalNumerator, reciprocalDenominator);
document.getElementById('improperFractionResult').textContent = improperFractionResult;

updateTable(dividendFraction, divisorFraction, reciprocalFraction, improperFractionResult, mainResult, decimalResult);
updateChart(n1, d1, n2, d2);
}

function updateTable(dividend, divisor, reciprocal, multiplication, simplified, decimal) {
document.getElementById('tableDividend').textContent = dividend;
document.getElementById('tableDivisor').textContent = divisor;
document.getElementById('tableReciprocal').textContent = reciprocal;
document.getElementById('tableMultiplication').textContent = multiplication;
document.getElementById('tableSimplifiedResult').textContent = simplified;
document.getElementById('tableDecimalResult').textContent = decimal;
}

function resetCalculator() {
document.getElementById('numerator1').value = '3';
document.getElementById('denominator1').value = '4';
document.getElementById('numerator2').value = '1';
document.getElementById('denominator2').value = '2';

// Clear errors
document.getElementById('errorNumerator1').textContent = '';
document.getElementById('errorDenominator1').textContent = '';
document.getElementById('errorNumerator2').textContent = '';
document.getElementById('errorDenominator2').textContent = '';

calculateDivision(); // Recalculate with default values
}

function copyResults() {
var mainResult = document.getElementById('mainResult').textContent;
var simplifiedDividend = document.getElementById('simplifiedDividend').textContent;
var reciprocalDivisor = document.getElementById('reciprocalDivisor').textContent;
var improperFractionResult = document.getElementById('improperFractionResult').textContent;
var formula = "To divide fractions, multiply the first fraction by the reciprocal of the second fraction.";

var textToCopy = "Fraction Division Results:\n\n";
textToCopy += "Main Result (Simplified): " + mainResult + "\n";
textToCopy += "Dividend: " + simplifiedDividend + "\n";
textToCopy += "Reciprocal of Divisor: " + reciprocalDivisor + "\n";
textToCopy += "Result as Improper Fraction: " + improperFractionResult + "\n\n";
textToCopy += "Formula Used: " + formula + "\n";

// Use navigator.clipboard for modern browsers, fallback to textarea
if (navigator.clipboard && navigator.clipboard.writeText) {
navigator.clipboard.writeText(textToCopy).then(function() {
alert('Results copied to clipboard!');
}).catch(function(err) {
console.error('Failed to copy: ', err);
fallbackCopyTextToClipboard(textToCopy);
});
} else {
fallbackCopyTextToClipboard(textToCopy);
}
}

function fallbackCopyTextToClipboard(text) {
var textArea = document.createElement("textarea");
textArea.value = text;
textArea.style.position = "fixed"; // Avoid scrolling to bottom
textArea.style.left = "-9999px";
textArea.style.top = "-9999px";
document.body.appendChild(textArea);
textArea.focus();
textArea.select();

try {
var successful = document.execCommand('copy');
var msg = successful ? 'Results copied to clipboard!' : 'Failed to copy results.';
alert(msg);
} catch (err) {
alert('Failed to copy results.');
}
document.body.removeChild(textArea);
}

// Initial calculation on page load
document.addEventListener('DOMContentLoaded', function() {
// Ensure Chart.js is loaded before trying to use it
if (typeof Chart !== 'undefined') {
calculateDivision();
} else {
// If Chart.js is not available (e.g., not included), load it dynamically or show a message
console.warn("Chart.js not found. Chart will not be displayed.");
// Optionally, load Chart.js here if needed, or just proceed without the chart.
// For this example, we'll just proceed and the chart won't render.
// A production environment would ensure Chart.js is properly included.
calculateDivision(); // Still calculate other parts
}
});

// Add event listeners for real-time updates
document.getElementById('numerator1').addEventListener('input', calculateDivision);
document.getElementById('denominator1').addEventListener('input', calculateDivision);
document.getElementById('numerator2').addEventListener('input', calculateDivision);
document.getElementById('denominator2').addEventListener('input', calculateDivision);