Fraction Calculator

Add, subtract, multiply, divide and simplify fractions and mixed numbers exactly, with step-by-step working, GCD and LCM.

Your result will appear here

Fill in the fields and press Calculate, or pick one of the examples.

About the Fraction Calculator

Works with fractions as exact rational numbers, never as rounded decimals. You can enter proper fractions (3/4), improper fractions (7/4), mixed numbers (1 3/4), whole numbers or decimals (0.75).

Every answer is reduced to lowest terms and also shown as a mixed number and as a decimal, with repeating digits marked in brackets — for example 1/3 = 0.(3).

How to use it

Choose an operation.
Enter the fractions. Write mixed numbers with a space, such as 2 1/3.
Press Calculate to see the result and each step of the working.

Example

1/2 + 1/3

→ 5/6

Formulas used

\frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd}

Add or subtract over a common denominator, then reduce.

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

Divide by multiplying by the reciprocal.

\operatorname{lcm}(a, b) = \frac{|ab|}{\gcd(a, b)}

The least common multiple follows from the greatest common divisor.

Questions and answers

How do I convert a decimal to a fraction?

Choose “Simplify / convert” and type the decimal, for example 0.375. The calculator returns 3/8.

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About the Fraction Calculator

How to use it

Formulas used

Questions and answers

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About the Fraction Calculator

How to use it

Formulas used

Questions and answers