Fraction Calculator

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

Numerator 1

Denominator 1

Operation

Numerator 2

Denominator 2

Result

5/4

Decimal1.25

Original10/8

Formula

a/b ± c/d = (a×d ± c×b) / (b×d), then simplify by GCD

Fraction Calculator

Perform arithmetic operations on two fractions and automatically simplify the result to its lowest terms using the Greatest Common Divisor (GCD).

Common Use Cases

Fraction arithmetic comes up in cooking (halving or doubling recipes), woodworking and construction measurements, music (note durations), and in academic settings when learning algebra. Fractions are also used in probability, where the likelihood of an event is expressed as a ratio of favorable outcomes to total outcomes.

Tips for Accurate Results

Always simplify your final answer by dividing both numerator and denominator by their greatest common divisor (GCD). This calculator does that automatically.
When dividing fractions, multiply by the reciprocal of the second fraction: a/b ÷ c/d = a/b × d/c.
Make sure denominators are never zero — division by zero is undefined.

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