More and Less Math Example 4

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Example 4

medium
Which is greater, 23\frac{2}{3} or 34\frac{3}{4}? Use cross-multiplication to decide.

Solution

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

Answer

34>23\frac{3}{4} > \frac{2}{3}
Cross-multiplication compares ab\frac{a}{b} and cd\frac{c}{d} by comparing adad with bcbc (with positive denominators). Since 2×4<3×32 \times 4 < 3 \times 3, we get 23<34\frac{2}{3} < \frac{3}{4}.

About More and Less

Comparing two quantities to determine which is greater, which is smaller, or whether they are equal.

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