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Arrange in ascending order 3/4, 5/6, 2/3, 7/8.

  • A.2/3, 3/4, 5/6, 7/8
  • B.3/4, 2/3, 5/6, 7/8
  • C.2/3, 5/6, 3/4, 7/8
  • D.3/4, 5/6, 2/3, 7/8

Answer: A

The ascending order is 2/3, 3/4, 5/6, 7/8.

Convert to a common denominator, 24:

\[ \begin{aligned} \frac{2}{3} &= \frac{16}{24},\ \frac{3}{4} = \frac{18}{24} \\ \frac{5}{6} &= \frac{20}{24},\ \frac{7}{8} = \frac{21}{24} \end{aligned} \]

Shortcut: each fraction is 1 minus a unit fraction (\(1 - \frac{1}{3}\), \(1 - \frac{1}{4}\), and so on), and the bigger the denominator, the smaller the gap from 1. The other options misplace 3/4 or 5/6, putting a larger fraction before a smaller one.

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