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The value of $${\text{0}}{\text{.}}\overline 2 + {\text{0}}{\text{.}}\overline 3 + {\text{0}}{\text{.}}\overline {32} $$ is :
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& 0.\overline 2 + 0.\overline 3 + 0.\overline {32} \cr
& = \frac{2}{9} + \frac{3}{9} + \frac{{32}}{{99}} \cr
& = \frac{{22 + 33 + 32}}{{99}} \cr
& = \frac{{87}}{{99}} \cr
& = 0.\overline {87} \cr} $$
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