Fraction Calculator

Last Updated on March 2, 2026 | 2 : 55 pm by Anas Brittany

Use this fraction calculator to add, subtract, multiply, or divide fractions and mixed numbers. It automatically simplifies results and can show step-by-step work so you can understand how the answer was found.

How to Multiply Fractions

To multiply fractions, multiply the numerators together and multiply the denominators together:

Numerator: a × c
Denominator: b × d

Then simplify the result by dividing the numerator and denominator by their greatest common factor.

Example: 2/3 × 2/3 = 4/9.

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How to Add and Subtract Fractions

To add or subtract fractions, you need a common denominator. A common method is:

1. Multiply the denominators to get a common denominator
2. Convert each fraction
3. Add or subtract the numerators
4. Simplify the final fraction

This calculator performs these steps automatically and shows the work when “Show steps” is enabled.

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How to Divide Fractions

To divide fractions, multiply by the reciprocal of the second fraction:

(a/b) ÷ (c/d) = (a/b) × (d/c)

Then simplify the result.

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Simplifying Fractions and Mixed Numbers

A simplified fraction is a fraction reduced to lowest terms, meaning the numerator and denominator share no common factors other than 1.

A mixed number is a whole number plus a fraction, such as 1 1/2. Mixed numbers are commonly used for measurements and everyday math, while improper fractions are often used in algebra.

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Frequently Asked Questions

Why do fractions need a common denominator to add?

Because fractions represent parts of a whole. You can only combine parts when they are measured in the same sized pieces.

What is the reciprocal of a fraction?

The reciprocal flips the numerator and denominator. For example, the reciprocal of 2/3 is 3/2.

Does this calculator simplify answers automatically?

Yes. It reduces fractions to lowest terms and also shows the equivalent mixed number result.