What this calculator does

Use this fraction calculator to combine two fractions and reduce the answer to its simplest form. It also shows the decimal value for quick checking.

Formula used

For addition and subtraction, the calculator creates a common denominator. For multiplication it multiplies numerators and denominators. For division it multiplies by the reciprocal.

How to read the result

A simplified fraction is equivalent to the original result but has no common factor shared by numerator and denominator.

Assumptions

  • Denominators cannot be zero.
  • Results are reduced using the greatest common divisor.

Sources and checks

This calculator uses a standard public formula. Where rules or thresholds can change, source links are listed on the relevant page.

Frequently asked questions

Why simplify fractions?

Simplifying makes the result easier to read and compare. For example, 2/4 and 1/2 have the same value, but 1/2 is simpler.