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Fraction calculator

Enter two fractions and an operation. The answer is simplified automatically and shown as a fraction, a mixed number and a decimal.

Fraction calculator

Answer

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How it works

  • Add or subtract: a/b ± c/d = (a×d ± c×b) ÷ (b×d)
  • Multiply: a/b × c/d = (a×c) ÷ (b×d)
  • Divide: a/b ÷ c/d = (a×d) ÷ (b×c)

The result is then simplified by dividing the top and bottom by their greatest common divisor, found with Euclid's algorithm. For example, 1/2 + 1/3 = 5/6, and 3/4 × 2/3 = 6/12 = 1/2.

To enter a mixed number such as 2 1/4, convert it first: 2 × 4 + 1 = 9, so 9/4.

Common questions

How do I simplify a fraction?

Divide the numerator and denominator by the largest number that divides both. 18/24: both divide by 6, giving 3/4.

How do I turn a fraction into a decimal?

Divide the numerator by the denominator: 3/8 = 3 ÷ 8 = 0.375.