Comparing fractions

Math

Definition

Comparing fractions means determining which fraction is greater, less, or if they are equal. This is done by finding a common denominator, converting to decimals, or cross-multiplying.

How It Works

  1. Find a common denominator for both fractions
  2. Convert each fraction to an equivalent fraction with that denominator
  3. Compare the numerators — the larger numerator means the larger fraction

Examples

  • Comparing 3/4 and 2/3 by using a common denominator of 12: 9/12 > 8/12
  • Deciding which pizza slice is bigger: 3/8 vs 1/3
  • Comparing test scores of 17/20 vs 21/25

Related Terms

Fraction operations Mixed numbers Decimal conversions

Study This Concept

Practice comparing fractions with free review games in these units:

Pre-Algebra Unit 2: Fractions and Decimals