How to Add and Multiply Fractions (With Examples)

Fractions on a math chalkboard
Photo: β€œFree 100% mathematics image” by rawpixel.com Β· CC0 1.0 Β· via Openverse (rawpixel)

Short answer

To add fractions, use a common denominator. To multiply, multiply across. Example: 1/2 + 1/3 = 5/6. Always simplify by dividing by the GCD.

Fraction arithmetic is a school staple and a cooking essential. Practise with the fraction calculator.

Addition and subtraction

Rewrite with LCD, combine numerators, simplify.

Multiplication and division

Multiply numerators and denominators. Divide by multiplying by the reciprocal.

Mixed numbers

Convert to improper fractions first (2 1/3 β†’ 7/3).

3/4 = 75% β€” see the percentage calculator.

Open the free final grade calculator.

Related: how to calculate area of shapes.

Related: how to calculate percentage of a number.

Related: how to calculate grade percentage.

More practice

Change the inputs, rewrite the formula from memory, then confirm with the tool. Keep units consistent and read the disclaimer on tax or health pages before acting on a number.

Frequently asked questions

How do I add two fractions?

Common denominator, add tops, simplify.

How do I multiply fractions?

Multiply tops and bottoms, then simplify.

What does simplify mean?

Divide numerator and denominator by their greatest common divisor.

Can the calculator handle mixed numbers?

Yes β€” enter the whole part and the fraction parts.