Question
The simplest from of $0.\overline{32}$ is:

Answer

  1. $\frac{29}{90}$
    Solution:
    x = 0.32222...
    10x = 3.222... ----(i)
    100x = 32.222... ----(ii)
    Subtract eq. (i) from (ii)
    90x = 29
    $\text{x}=\frac{29}{90}$

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