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Problem #8 · August 4, 2026

Common fractions

Arrange the fractions 712\frac{7}{12}, 58\frac{5}{8}, 23\frac{2}{3} in increasing order.
  1. A712<58<23\frac{7}{12}<\frac{5}{8}<\frac{2}{3}
  2. B23<58<712\frac{2}{3}<\frac{5}{8}<\frac{7}{12}
  3. C58<712<23\frac{5}{8}<\frac{7}{12}<\frac{2}{3}
  4. D58<23<712\frac{5}{8}<\frac{2}{3}<\frac{7}{12}
  5. E712<23<58\frac{7}{12}<\frac{2}{3}<\frac{5}{8}

WORKED EXAMPLE

Solution

Rewrite the fractions with the common denominator EKUK(12,8,3)=24(12,8,3)=24: 712=1424\frac{7}{12}=\frac{14}{24}, 58=1524\frac{5}{8}=\frac{15}{24}, 23=1624\frac{2}{3}=\frac{16}{24}. Compare the numerators: 14<15<1614<15<16, so 712<58<23\frac{7}{12}<\frac{5}{8}<\frac{2}{3}.
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