Fraction Calculator

Perform fraction arithmetic with automatic simplification. Add, subtract, multiply, or divide fractions and mixed numbers.

How it works

a/b + c/d = (ad + cb) ÷ bd. a/b × c/d = ac ÷ bd. a/b ÷ c/d = ad ÷ bc. Simplify by dividing both parts by their GCD.

Worked example

3/4 + 2/5 = (15 + 8)/20 = 23/20 = 1 3/20. Multiplying instead: 3/4 × 2/5 = 6/20, which simplifies to 3/10.

Frequently asked questions

Do I need a common denominator to multiply?

No — only for addition and subtraction. Multiplication and division work straight across, which is why they are usually the easier operations.

How do I divide fractions?

Multiply by the reciprocal: flip the second fraction and multiply. 1/2 ÷ 3/4 becomes 1/2 × 4/3 = 4/6 = 2/3.

How do I convert a fraction to a decimal?

Divide the numerator by the denominator. 5/8 = 0.625. Denominators with prime factors other than 2 and 5 produce repeating decimals, like 1/3 = 0.333…