Comparing Fractions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Compare 23\frac{2}{3} and 34\frac{3}{4} using cross-multiplication.

Solution

  1. 1
    Cross-multiply: 2×4=82 \times 4 = 8 and 3×3=93 \times 3 = 9.
  2. 2
    Since 8<98 < 9, we have 23<34\frac{2}{3} < \frac{3}{4}.

Answer

23<34\frac{2}{3} < \frac{3}{4}
Cross-multiplication is a fast comparison technique: multiply the numerator of each fraction by the denominator of the other. The fraction whose product is larger is the greater fraction.

About Comparing Fractions

Determining which of two fractions is greater, less, or equal using common denominators, benchmarks, or cross-multiplication.

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More Comparing Fractions Examples

Example 1 easy

Compare [formula] and [formula] using the [formula], [formula], or [formula] symbol.

Example 2 medium

Compare [formula] and [formula] using a common denominator.

Example 4 hard

Without finding a common denominator, use benchmark reasoning to compare [formula] and [formula].

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