WorkedMathGlossary

Fraction Calculator

Enter two fractions and pick an operation below to instantly get the simplified result.

+
Result
11/12

Fraction Operations

Addition and subtraction need a common denominator first. Multiplication and division work straight across the numerators and denominators. Every result is automatically simplified to lowest terms.

Worked example

Add 3/4 + 1/6.

Common denominator of 4 and 6 is 12: 3/4 = 9/12, and 1/6 = 2/12.

9/12 + 2/12 = 11/12

Frequently Asked Questions

How do you add or subtract fractions?

Convert both fractions to a common denominator, then add or subtract the numerators. a/b + c/d = (ad + bc) / bd.

How do you multiply fractions?

Multiply the numerators together and the denominators together: a/b × c/d = (a × c) / (b × d). No common denominator needed.

How do you divide fractions?

Multiply the first fraction by the reciprocal of the second: a/b ÷ c/d = a/b × d/c.

Related Calculators

View all calculators →