$0.\overline{27}$ as a fraction is

$0.\overline{27}$ as a fraction is
  1. $\dfrac{27}{99} = \dfrac{3}{11}$
  2. $\dfrac{27}{100}$
  3. $\dfrac{27}{10}$
  4. $\dfrac{2}{7}$

Solution

$100x - x = 27 \Rightarrow 99x = 27 \Rightarrow x = \dfrac{27}{99} = \dfrac{3}{11}$.

Asked in: MH-SSC-9

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