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Fraction calculator

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The calculator needs JavaScript. The tables below give the same numbers for common cases.

How it is worked out

  1. Common denominator: 6.
  2. 1/2 = 3/6 and 1/3 = 2/6.
  3. 3/6 + 2/6 = 5/6.
  4. 5/6 is already in lowest terms.
Worked examples
InputsAnswer
First fraction: top: 1; bottom: 2; Operation: Add (+); Second fraction: top: 1; bottom: 31/2 + 1/3 = 5/6.
First fraction: top: 3; bottom: 4; Operation: Subtract (−); Second fraction: top: 1; bottom: 63/4 − 1/6 = 7/12.
First fraction: top: 2; bottom: 3; Operation: Multiply (×); Second fraction: top: 3; bottom: 42/3 × 3/4 = 1/2.
First fraction: top: 1; bottom: 2; Operation: Divide (÷); Second fraction: top: 1; bottom: 41/2 ÷ 1/4 = 2.

How to use it

To add or subtract fractions, give them a common denominator first, then add or subtract the tops. To multiply, multiply the tops and the bottoms. To divide, multiply by the reciprocal of the second fraction. The result is always reduced to lowest terms by dividing top and bottom by their greatest common factor.

The calculator also shows the mixed-number and decimal forms, and the worked steps for your numbers, so you can check homework or learn the method.

Frequently asked questions

How do I add fractions with different denominators?

Find a common denominator (the LCM of the two denominators), rewrite both fractions with it, then add the numerators. 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

How do I divide fractions?

Multiply the first fraction by the reciprocal of the second: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2.

What does lowest terms mean?

The top and bottom have no common factor other than 1, so the fraction cannot be reduced further.

Method: standard arithmetic shown step by step; no outside data is used. Checked 2026-11-12.

Written by Calculators Free Editorial Team · Data checked 2026-11-12
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General information only. Results are plain arithmetic on the numbers you enter; check anything important (money, health, school work) against your own records or the official source.