Which of the following has a terminating decimal expansion?

Which of the following has a terminating decimal expansion?
  1. $\dfrac{7}{8}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{2}{7}$
  4. $\dfrac{5}{11}$

Solution

Terminating iff denominator (in lowest form) has prime factors $2$ and/or $5$ only. $8 = 2^{3}$.

Asked in: MH-SSC-9

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