Fraction arithmetic
Calculate exact fractions or signed mixed numbers, with reduced and mixed results.
How this works
Fractions use common denominators for addition and subtraction; multiplication and division use exact integer products and greatest-common-divisor reduction. A negative mixed number such as −2 1/3 means −(2 + 1/3).
Example
Using the example inputs, reduced fraction is 5/6.
- First numerator
- 1
- First denominator
- 2
- Operation
- Add
- Second numerator
- 1
- Second denominator
- 3
- Input mode
- Numerator and denominator fields
- First fraction or mixed number
- 1/2
- Second fraction or mixed number
- 1/3
- Reduced fraction
- 5/6
Scope and assumptions
Mixed-number components are limited to one trillion, with positive denominators and a proper fractional part. Decimal output is approximate; reduced fractions are exact.