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Problem #22 · August 18, 2026

Common fractions

Calculate: 34:98\frac{3}{4}:\frac{9}{8}.
  1. A2732\frac{27}{32}
  2. B32\frac{3}{2}
  3. C3227\frac{32}{27}
  4. D13\frac{1}{3}
  5. E23\frac{2}{3}

WORKED EXAMPLE

Solution

To divide by a fraction, multiply by the reciprocal of the second fraction: 34:98=34⋅89=2436\frac{3}{4}:\frac{9}{8}=\frac{3}{4}\cdot\frac{8}{9}=\frac{24}{36}. Simplifying gives 2436=23\frac{24}{36}=\frac{2}{3}.
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