$1.\overline{2}$ as a fraction is

$1.\overline{2}$ as a fraction is
  1. $\dfrac{11}{9}$
  2. $\dfrac{12}{10}$
  3. $\dfrac{6}{5}$
  4. $\dfrac{12}{9}$

Solution

Let $x=1.\overline{2}$. $10x = 12.\overline{2}$. $9x = 11 \Rightarrow x = \dfrac{11}{9}$.

Asked in: MH-SSC-9

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