Fraction Calculator

Add, subtract, multiply or divide fractions and mixed numbers, with simplified results and working.

Calculate with fractions

For a simple fraction, enter a numerator and denominator. For a mixed number, also enter the whole-number part. Use a minus sign on the whole number for a negative mixed number.

First fraction

Second fraction

Enter two fractions to calculate.

How to use the fraction calculator

Enter the whole number, numerator and denominator for each value. The whole-number field is optional, so 3/4 can be entered with only 3 as the numerator and 4 as the denominator. Choose the operation, then select Calculate.

Adding and subtracting fractions

Fractions need a common denominator before they can be added or subtracted. The calculator performs this automatically, then reduces the answer to its lowest terms. For example, 2/6 + 1/4 = 7/12.

Multiplying and dividing fractions

To multiply fractions, multiply the numerators together and multiply the denominators together. To divide fractions, multiply by the reciprocal of the second fraction: keep the first fraction, change division to multiplication and flip the second fraction.

a/b ÷ c/d = a/b × d/c

Proper, improper and mixed fractions

A proper fraction has a numerator smaller than its denominator, such as 3/4. An improper fraction has a numerator that is at least as large as the denominator, such as 7/4. A mixed number writes the same value as a whole number and a fraction: 7/4 = 1 3/4.

Negative fractions

A fraction is negative when either its numerator or denominator is negative. For a negative mixed number, use a minus sign in the whole-number field; for example, enter −1, 1 and 2 for −1 1/2.