Fraction calculator

Add, subtract, multiply and divide fractions, with simplified working.

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Your inputs

Updates as you type
Whole numbers, fractions like 3/4, or mixed numbers like 1 1/2.

simplified fraction

13/6

Mixed number
2 1/6
Decimal approximation
2.1666666667

3/2 + 2/3 = 13/6. Numerator and denominator are reduced by their greatest common divisor.

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How to use this tool

Enter whole numbers, fractions such as 3/4, or mixed numbers such as 1 1/2.

Choose the operation and read both the simplified fraction and mixed-number form. A minus sign applies to the whole mixed number.

a/b + c/d = (ad + bc) / bd; simplify by the greatest common divisor

Worked example

13/6 · simplified fraction

Fixed example using the settings below. Monetary examples use USD; dates and times use their stated reference values. This example stays unchanged when you edit your calculation.

Example inputs
  • First fraction: 1 1/2
  • Operation: Add (+)
  • Second fraction: 2/3

Method illustration: 1 1/2 + 2/3 = 3/2 + 2/3 = 13/6 = 2 1/6.

Assumptions and limits

  • Fraction arithmetic uses exact integers before simplification. Decimal output is an approximation.
  • A zero denominator is invalid, and division by a zero-valued fraction is undefined. A leading minus sign applies to the whole mixed number.

Check or report a result

Check the units, selected calculation and assumptions first. Compare the fixed example above with your inputs to identify what changed.

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