.improper-fractions-calculator-container {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
max-width: 700px;
margin: 20px auto;
padding: 25px;
border: 1px solid #e0e0e0;
border-radius: 10px;
background-color: #ffffff;
box-shadow: 0 4px 12px rgba(0, 0, 0, 0.05);
}
.improper-fractions-calculator-container h2 {
text-align: center;
color: #333;
margin-bottom: 20px;
font-size: 28px;
}
.improper-fractions-calculator-container .input-group {
margin-bottom: 15px;
display: flex;
flex-direction: column;
}
.improper-fractions-calculator-container label {
font-weight: bold;
margin-bottom: 8px;
color: #555;
font-size: 16px;
}
.improper-fractions-calculator-container input[type="number"] {
width: calc(100% – 20px);
padding: 12px;
border: 1px solid #ccc;
border-radius: 6px;
font-size: 16px;
box-sizing: border-box;
transition: border-color 0.3s ease;
}
.improper-fractions-calculator-container input[type="number"]:focus {
border-color: #007bff;
outline: none;
box-shadow: 0 0 0 3px rgba(0, 123, 255, 0.25);
}
.improper-fractions-calculator-container button {
display: block;
width: 100%;
padding: 12px 20px;
background-color: #007bff;
color: white;
border: none;
border-radius: 6px;
font-size: 18px;
cursor: pointer;
transition: background-color 0.3s ease, transform 0.2s ease;
margin-top: 20px;
}
.improper-fractions-calculator-container button:hover {
background-color: #0056b3;
transform: translateY(-1px);
}
.improper-fractions-calculator-container #result {
margin-top: 25px;
padding: 20px;
border: 1px solid #d4edda;
background-color: #e9f7ef;
border-radius: 8px;
font-size: 17px;
color: #155724;
line-height: 1.6;
}
.improper-fractions-calculator-container #result h3 {
color: #0f5132;
margin-top: 0;
margin-bottom: 15px;
font-size: 22px;
}
.improper-fractions-calculator-container #result p {
margin-bottom: 10px;
}
.improper-fractions-calculator-container .error {
color: #dc3545;
background-color: #f8d7da;
border-color: #f5c6cb;
padding: 10px;
border-radius: 5px;
margin-top: 15px;
}
.improper-fractions-calculator-container .article-content {
margin-top: 30px;
padding-top: 20px;
border-top: 1px solid #eee;
color: #333;
line-height: 1.7;
}
.improper-fractions-calculator-container .article-content h3 {
color: #333;
font-size: 24px;
margin-bottom: 15px;
}
.improper-fractions-calculator-container .article-content p {
margin-bottom: 15px;
}
.improper-fractions-calculator-container .article-content ul {
list-style-type: disc;
margin-left: 20px;
margin-bottom: 15px;
}
.improper-fractions-calculator-container .article-content ol {
list-style-type: decimal;
margin-left: 20px;
margin-bottom: 15px;
}
.improper-fractions-calculator-container .article-content strong {
color: #333;
}
function gcd(a, b) {
a = Math.abs(a);
b = Math.abs(b);
while (b) {
var temp = b;
b = a % b;
a = temp;
}
return a;
}
function calculateImproperFraction() {
var num = parseInt(document.getElementById("numerator").value);
var den = parseInt(document.getElementById("denominator").value);
// Store original values for display
var originalNum = num;
var originalDen = den;
var resultDiv = document.getElementById("result");
resultDiv.innerHTML = ""; // Clear previous results
// Input validation
if (isNaN(num) || isNaN(den)) {
resultDiv.innerHTML = "Please enter valid numbers for both numerator and denominator.";
return;
}
if (den === 0) {
resultDiv.innerHTML = "Denominator cannot be zero.";
return;
}
// Determine the overall sign of the fraction
var overallSign = 1;
if ((num 0) || (num > 0 && den 0) {
mixedNumberString += wholeNumber + " ";
}
mixedNumberString += remainderNumerator + "/" + mixedDenominator;
}
// — Simplify Improper Fraction —
var commonDivisorImproper = gcd(absNum, absDen);
var simplifiedNum = (overallSign * absNum) / commonDivisorImproper; // Apply sign back
var simplifiedDen = absDen / commonDivisorImproper;
// — Simplify Mixed Number's Fractional Part (if exists) —
var simplifiedMixedFractionalPart = "";
if (remainderNumerator !== 0) {
var commonDivisorMixed = gcd(remainderNumerator, mixedDenominator);
var simplifiedRemainderNum = remainderNumerator / commonDivisorMixed;
var simplifiedMixedDen = mixedDenominator / commonDivisorMixed;
simplifiedMixedFractionalPart = simplifiedRemainderNum + "/" + simplifiedMixedDen;
}
var simplifiedMixedNumberString = "";
if (remainderNumerator === 0) {
simplifiedMixedNumberString = (overallSign * wholeNumber).toString();
} else {
if (overallSign === -1) {
simplifiedMixedNumberString += "-";
}
if (wholeNumber > 0) {
simplifiedMixedNumberString += wholeNumber + " ";
}
simplifiedMixedNumberString += simplifiedMixedFractionalPart;
}
// Display results
var resultHtml = "
Improper Fractions Calculator
Understanding Improper Fractions
An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 7/3, 5/5, and 11/4 are all improper fractions. These fractions represent a value that is equal to or greater than one whole.
What is a Mixed Number?
A mixed number is a number consisting of a whole number and a proper fraction (where the numerator is less than the denominator). Mixed numbers are often used to express improper fractions in a more intuitive and easier-to-understand format. For instance, 7/3 can be expressed as the mixed number 2 1/3.
How to Convert an Improper Fraction to a Mixed Number
Converting an improper fraction to a mixed number involves a simple division process:
- Divide the Numerator by the Denominator: Perform integer division. The quotient (the whole number result of the division) becomes the whole number part of your mixed number.
- Find the Remainder: The remainder of the division becomes the new numerator of the fractional part.
- Keep the Original Denominator: The denominator of the fractional part remains the same as the original improper fraction's denominator.
Example: Convert 7/3 to a mixed number.
- 7 divided by 3 is 2 with a remainder of 1.
- The whole number is 2.
- The new numerator is 1.
- The denominator remains 3.
- So, 7/3 as a mixed number is 2 1/3.
Simplifying Fractions
Simplifying a fraction means reducing it to its lowest terms. This is done by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD is the largest number that divides both numbers without leaving a remainder.
Example: Simplify the improper fraction 10/4.
- The GCD of 10 and 4 is 2.
- Divide both 10 and 4 by 2: 10 ÷ 2 = 5, and 4 ÷ 2 = 2.
- The simplified improper fraction is 5/2.
You can also simplify the fractional part of a mixed number using the same GCD method.
Using the Improper Fractions Calculator
Our calculator simplifies this process for you. Simply enter the numerator and denominator of your improper fraction, and it will instantly provide:
- The original improper fraction.
- The simplified improper fraction (if it can be simplified).
- The equivalent mixed number.
- The simplified mixed number (if its fractional part can be simplified).
This tool is perfect for students, educators, or anyone needing quick and accurate fraction conversions and simplifications.