Fraction Calculator

Add, subtract, multiply or divide two fractions, auto-reduced.

Result —

How it works

a/b ± c/d = (a·d ± c·b) ÷ (b·d), then divide by the GCD

Denominators cannot be 0. The result is reduced to lowest terms with a decimal approximation.

Worked example

1/2 + 1/3: common denominator gives 3/6 + 2/6 = 5/6 ≈ 0.833.

2/3 × 3/4 = 6/12 = 1/2; 1/2 ÷ 3/4 = 1/2 × 4/3 = 2/3.

Notes and limitations

Addition and subtraction need a common denominator; multiplication and division do not. Division is "multiply by the reciprocal". Reduce results; the denominator cannot be zero. In mixed expressions: brackets, then × ÷, then + −.

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