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Which of the following fraction is the smallest?

  • A.12/14
  • B.13/19
  • C.17/21
  • D.7/8

Answer: B

Convert each to a decimal.

\[ \frac{12}{14} = 0.857, \qquad \frac{13}{19} = 0.684 \]

\[ \frac{17}{21} = 0.810, \qquad \frac{7}{8} = 0.875 \]

The smallest is \( \tfrac{13}{19} \). It is also the only one whose numerator is well below three quarters of its denominator, which is a quick way to spot it.

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