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Mathematics

Fraction calculator

Add, subtract, multiply or divide two fractions. The simplified result remains exact even with large numerators.

Free & no registration Calculated in your browser
01

Your inputs

The starting values are an example.

The denominator must not be zero.
When dividing, the second numerator must not be zero either.

Decimals: 12.5 · Thousands: 1,234.56. Follow the field instructions for lists.

02

Your result

Enter your values and select Calculate.

Your calculation will appear here.

Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

a/b + c/d = (a·d + c·b)/(b·d). Divide numerator and denominator by their GCD to simplify.

Worked example

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2. The decimal value is 0.5.

Things to check

  • Numerators and denominators are whole numbers. A negative denominator is converted to a sign on the numerator.
  • The fraction uses exact integer arithmetic; the decimal display is rounded.

Frequently asked questions

Why is a common denominator shown?

It shows how the inputs are expressed on the same basis for addition and subtraction. For multiplication and division, it is additional information.