Fraction calculator

Simplify a fraction or add, subtract, multiply and divide two fractions.

Changing modes clears your inputs and result.

Integers only, with a nonzero denominator. The result is an exact reduced fraction with a positive denominator, without decimal rounding. Example: 12/18 = 2/3; zero becomes 0/1.

Your inputs stay in your browser. Displayed fractions are exact, without rounding.

Method and assumptions

Method version 1.0.0 · Updated

Simplify

Formula: (n ÷ GCD) / (d ÷ GCD)

Integers only, with a nonzero denominator. The result is an exact reduced fraction with a positive denominator, without decimal rounding. Example: 12/18 = 2/3; zero becomes 0/1.

numerator
Numerator
denominator
Denominator
Operations

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

Each integer is limited to ±9,007,199,254,740,991. Denominators and the divisor fraction must be nonzero. Exact calculation and final reduction, even when products exceed that limit. Example: 1/2 + 1/3 = 5/6.

numerator
Numerator
denominator
Denominator
operation
Operation
otherNumerator
Second numerator
otherDenominator
Second denominator

Integers within the stated limits; exact fraction without rounding. Fields accept neither decimals nor thousands separators.