Calcamaze

Fraction Calculator

Add, subtract, multiply and divide fractions, with simplified and mixed-number answers.

Result

1/2 + 1/3 =
5/6
Mixed number
5/6
Decimal
0.83333333

Enter two fractions and choose an operation. The answer is always reduced to its simplest form and also shown as a mixed number and a decimal. Use a negative numerator for negative fractions, and a denominator of 1 for whole numbers.

Formula

a/b + c/d = (a·d + c·b) ÷ (b·d)

Subtraction works the same way with a minus sign. Multiplication: a/b × c/d = (a·c) ÷ (b·d). Division: a/b ÷ c/d = (a·d) ÷ (b·c).

The result is simplified by dividing the numerator and denominator by their greatest common divisor.

Worked example

1/2 + 1/3: the common denominator is 6, so 3/6 + 2/6 = 5/6 ≈ 0.8333.

3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 = 6.

Frequently asked questions

How do I add fractions with different denominators?

Rewrite both fractions over a common denominator, add the numerators, then simplify. 1/4 + 1/6 = 3/12 + 2/12 = 5/12.

How do I divide fractions?

Multiply by the reciprocal of the second fraction (“keep, change, flip”): 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.

Last updated · Calculations checked by automated tests· Editorial policy