Question

Which grouping shows 2/3, 5/8 and 7/12 arranged in order from least to the greatest? *

Answer 1

$\frac{7}{12} < \frac{5}{8} < \frac{2}{3}$

Step-by-step explanation:

$\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \\ \\ \frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24} \\ \\ \frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24} \\ \\ \frac{14}{24} < \frac{15}{24} < \frac{16}{24} \\ \\ \frac{7}{12} < \frac{5}{8} < \frac{2}{3}$

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