Fraction Calculator

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

Result

How to check this result

Enter each numerator and denominator carefully. A denominator cannot be zero.

Method and assumptions

For addition and subtraction, fractions are expressed with a common denominator before the numerators are combined. Multiplication and division use different rules.

Before making a decision

A simplified result is easier to check and compare with another answer.

Read the related guide → · See our calculator methodology

Use a common denominator

Method and inputs

For addition or subtraction, rewrite fractions with a common denominator before combining numerators. For multiplication, multiply numerators and denominators. For division, multiply by the reciprocal of the second fraction. Denominators cannot be zero.

Worked example

For 1/2 + 1/3, the common denominator is 6: 3/6 + 2/6 = 5/6. For 2/3 ÷ 4/5, multiply 2/3 × 5/4 = 10/12 = 5/6.

Limits and common mistakes

Enter whole-number numerators and denominators. To enter a mixed number such as 1½, first convert it to 3/2. Dividing by a zero-valued fraction is undefined, even if that fraction has a nonzero denominator.

How is a fraction simplified?

Divide numerator and denominator by their greatest common divisor. For 18/24, dividing both by 6 gives 3/4 without changing the value.

Content updated: 2026-10-03.