Fraction Calculator — Add, Subtract, Multiply & Divide Fractions

Add, subtract, multiply or divide any two fractions instantly. Get your result as a simplified fraction, decimal, mixed number and percentage — with a full step-by-step solution showing exactly how it was calculated.

✅ Free 📐 Step-by-Step Solutions ⚡ Instant Results 🔒 No Sign-Up

Add, subtract, multiply or divide fractions with step-by-step solutions

First Fraction

Second Fraction

Please enter valid numerators and denominators (denominators cannot be zero).

Result

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Decimal

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Percentage

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Mixed Number

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Unsimplified

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📐 Step-by-Step Solution

How to Add and Subtract Fractions

To add or subtract fractions you need a common denominator. If the denominators are already the same, simply add or subtract the numerators. If they're different, find the Lowest Common Denominator (LCD) first.

Adding Fractions (different denominators)

a/b + c/d = (a×d + c×b) ÷ (b×d) then simplify

Example: 1/4 + 1/6 → LCD = 12 → 3/12 + 2/12 = 5/12

Subtracting Fractions

a/b − c/d = (a×d − c×b) ÷ (b×d) then simplify

Example: 3/4 − 1/3 → LCD = 12 → 9/12 − 4/12 = 5/12

How to Multiply and Divide Fractions

Multiplying and dividing fractions is actually simpler than adding or subtracting — no common denominator needed.

Multiplying Fractions

a/b × c/d = (a×c) ÷ (b×d) then simplify

Example: 2/3 × 3/4 = 6/12 = 1/2

Dividing Fractions

a/b ÷ c/d = a/b × d/c (flip second fraction and multiply)

Example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9

💡 Dividing fractions tip: The phrase "keep, change, flip" is a helpful memory aid — keep the first fraction, change the division sign to multiplication, flip the second fraction.

How to Simplify Fractions

A fraction is in its simplest form when the numerator and denominator share no common factors other than 1. To simplify, divide both numbers by their Greatest Common Divisor (GCD).

Simplifying a Fraction

Find GCD of numerator and denominator, then divide both by it

Example: 12/18 → GCD of 12 and 18 is 6 → 12÷6 / 18÷6 = 2/3

Types of Fractions

Type	Definition	Example
Proper fraction	Numerator is smaller than denominator	3/4, 2/5, 7/8
Improper fraction	Numerator is larger than or equal to denominator	5/3, 8/4, 7/2
Mixed number	A whole number combined with a proper fraction	1 and 2/3, 3 and 1/4
Equivalent fractions	Different fractions representing the same value	1/2 = 2/4 = 4/8
Unit fraction	A fraction with 1 as the numerator	1/2, 1/3, 1/7

FAQs

What is a fraction?

A fraction represents a part of a whole. The numerator (top number) shows how many parts you have. The denominator (bottom number) shows how many equal parts make up the whole.

How do you add fractions with different denominators?

Find the lowest common denominator first then convert both fractions to that denominator before adding the numerators. The calculator does this automatically.

What is a mixed number?

A mixed number combines a whole number and a fraction. For example 7/4 = 1 and 3/4. The calculator shows the mixed number form for any improper fraction in your result.

What is an improper fraction?

An improper fraction has a numerator larger than the denominator — for example 7/4. It can be converted to a mixed number (1 and 3/4).

Is this calculator free?

Yes completely free with no sign-up needed.