Fraction Simplifier

How to Simplify a Fraction

Simplifying (reducing) a fraction means finding the smallest equivalent fraction. Divide both the numerator and denominator by their greatest common factor (GCF).

Step-by-step

1. Find the GCF of the numerator and denominator using the Euclidean algorithm.
2. Divide both the numerator and denominator by the GCF.
3. The result is the simplified fraction — it cannot be reduced further.

Worked example

Simplify 12/18: GCF(12, 18) = 6. Divide both by 6: 12÷6 = 2, 18÷6 = 3. Result = 2/3.

Why simplify?

Simplified fractions are easier to read, compare, and use in calculations. Always reduce fractions in final answers for math homework, recipes, and measurements.