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Master Compare Fractions

Determine which of two fractions is larger (or if they are equal) by comparing their decimal values or by cross-multiplying. Example: 2/3 > 3/5 because 2/3 ≈ 0.667 and 3/5 = 0.6.

What is Comparing Fractions?

Determining which fraction is larger or if they are equal

To compare two fractions, you can convert both to decimals and compare, or use cross-multiplication: for a/b and c/d, compare a×d and b×c. If a×d > b×c then a/b > c/d. Example: 2/3 vs 3/5 → 2×5=10, 3×3=9, so 2/3 > 3/5.

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Cross-Multiply or Decimals

Cross-multiply to compare without converting to decimals, or convert both to decimals.

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Compare Fractions Rules

Key methods for comparing fractions

Common Denominator

Convert both fractions to the same denominator. The larger numerator is the larger fraction.

\frac{2}{3} vs \frac{3}{5} → \frac{10}{15} vs \frac{9}{15,} so \frac{2}{3} > \frac{3}{5}

Cross-Multiplication

Compare a×d and b×c for a/b and c/d. If a×d > b×c then a/b > c/d.

\frac{2}{3} vs \frac{3}{5:} 2×5=10, 3×3=9, 10>9 so \frac{2}{3} > \frac{3}{5}

Compare Fractions Examples

Worked examples

Basic Examples

\frac{2}{3} vs \frac{3}{5}\frac{2}{3} > \frac{3}{5}
\frac{1}{2} vs \frac{2}{4}Equal (\frac{1}{2} = \frac{2}{4})
\frac{3}{4} vs \frac{5}{8}\frac{3}{4} > \frac{5}{8}

Why Comparing Fractions Matters

Comparing fractions is needed for ordering, choosing the better deal, and understanding size in real-world situations.

Applications

Used in measurement, shopping, and any situation where you need to know which quantity is larger.

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Compare Fractions Practice

Practice comparing fractions (which is larger?) with easy, medium, and hard levels.

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Fractions Practice Hub

All fraction practice types in one place: addition, subtraction, conversion, simplify, compare, and more.

Fractions Practice Hub