Math & School

Fraction Calculator

Add, multiply, divide and reduce fractions - with arithmetic.

Updated on Apr 21, 2026 Calculator, calculation path and examples on one page

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Calculator

mode

Counter 1

Denominator 1

Counter 2

Denominator 2

Expansion factor

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Examples

Typical calculations

3/4 + 1/6

Add

Result: 11/12

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Shorten 18/24

Shorten

Result: 3/4

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2/3 : 5/8

Divide

Result: 16/15

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FAQ

Frequently asked questions

What does shortening mean?

The numerator and denominator are divided by the same common divisor.

Why do you often need a common denominator when adding?

Because only fractions with the same name can be added or subtracted directly.

How does dividing fractions work?

You multiply by the inverse fraction of the second fraction.

Does the calculator also show abbreviated results?

Yes, the output is always shortened as much as possible.

Is there also a decimal representation?

Yes, a decimal number is also output.

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Sources and notes

Rule status and context

methodology: The calculator uses gcd for abbreviation and kgv for common denominators.