Home › Math › Fraction Calculator

Fraction Calculator

Add, subtract, multiply and divide fractions and mixed numbers, or simplify a single fraction. See every step.

Fraction calculator

Leave the whole number box empty for a plain fraction. Use it for mixed numbers like 1 ½.

–

As a mixed number–
As a decimal–
As a percentage–
Steps

Simplify a fraction

Reduce a fraction to its lowest terms and convert it to a decimal and percentage.

–

As a mixed number–
As a decimal–
As a percentage–
Steps

How to add, subtract, multiply and divide fractions

A fraction shows a part of a whole. The top number is the numerator and the bottom number is the denominator. This calculator works with proper fractions, improper fractions and mixed numbers.

Adding and subtracting

Fractions need a common denominator before you can add or subtract them. A simple way is to cross-multiply:

a/b + c/d = (a × d + c × b) ÷ (b × d)

Example: 1/2 + 3/4 = (1 × 4 + 3 × 2) ÷ (2 × 4) = 10/8, which simplifies to 5/4, or 1 1/4.

Multiplying

Multiply the numerators together and the denominators together.

a/b × c/d = (a × c) ÷ (b × d)

Example: 2/3 × 3/5 = 6/15, which simplifies to 2/5.

Dividing

Flip the second fraction upside down (take its reciprocal) and multiply.

a/b ÷ c/d = (a × d) ÷ (b × c)

Example: 1/2 ÷ 3/4 = (1 × 4) ÷ (2 × 3) = 4/6, which simplifies to 2/3.

Simplifying a fraction

Divide the numerator and denominator by their greatest common factor. For 18/24 the greatest common factor is 6, so 18/24 = 3/4.

Mixed numbers

A mixed number such as 1 1/2 is a whole number plus a fraction. To calculate with it, convert it to an improper fraction first: (1 × 2 + 1) ÷ 2 = 3/2. The calculator does this for you and shows the step.

Need another calculator?

Browse all calculators
Scroll to Top