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Fraction Calculator

Fractions and mixed numbers, simplified automatically.

Calculate with fractions

Leave "whole" empty for a simple fraction. Fill it in for a mixed number like 2 ¼.

Result
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Simplify a fraction

Simplest form
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Decimal to fraction

As a fraction
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How to use the Fraction Calculator

  1. Enter the first fraction, choose +, −, × or ÷, then enter the second fraction.
  2. For a mixed number such as 2 ¼, put 2 in the "whole" box, 1 on top and 4 on the bottom.
  3. Read the answer in simplest form, as a mixed number and as a decimal. Use the lower boxes to simplify a single fraction or turn a decimal into a fraction.

How it's calculated

a/b + c/d = (a·d + c·b) / (b·d)
a/b − c/d = (a·d − c·b) / (b·d)
a/b × c/d = (a·c) / (b·d)
a/b ÷ c/d = (a·d) / (b·c)

Mixed numbers are first turned into improper fractions (2 ¼ = 9/4). Every answer is reduced by dividing the top and bottom by their greatest common divisor, found with Euclid's algorithm.

Frequently asked questions

How do I enter a negative mixed number?
Put the minus sign on the whole number, for example −2 in the whole box with 1/4 for −2 ¼. For a negative simple fraction, put the minus sign on the top number.

Can it convert repeating decimals like 0.333…?
It converts the digits you type, so 0.333 becomes 333/1000. For exactly one third, enter it as the fraction 1/3 instead.

Why is my answer an improper fraction?
The main result is shown in simplest improper form (like 7/4), with the mixed-number version (1 ¾) right underneath.

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