Fraction Calculator

Add, subtract, multiply, or divide two fractions and simplify the result.

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Adjust the values below to get a clear estimate.

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Exact fraction operations

Addition and subtraction use a common denominator; multiplication combines numerators and denominators; division multiplies by the reciprocal. The result is normalized and reduced by the greatest common divisor.

a/b ± c/d = (ad ± bc)/bd; (a/b) × (c/d) = ac/bd

Worked example

Add one third and one sixth

Inputs: firstFraction: 1/3 · operation: add · secondFraction: 1/6

Illustrative result: 1/2 · decimal 0.5

A common denominator of 6 gives 2/6 + 1/6 = 3/6, which reduces to 1/2.

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Frequently asked questions

Can I divide by a zero fraction?

No. Division is undefined when the second fraction has a zero numerator.

Are negative fractions supported?

Yes. The sign is normalized to the numerator in the reduced result.