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The value of $${\text{0}}{\text{.}}\overline 2 + {\text{0}}{\text{.}}\overline 3 + {\text{0}}{\text{.}}\overline {32} $$     is :

A. $$0.\overline {87} $$

B. $$0.\overline {77} $$

C. $$0.\overline {82} $$

D. $$0.\overline {86} $$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & 0.\overline 2 + 0.\overline 3 + 0.\overline {32} \cr & = \frac{2}{9} + \frac{3}{9} + \frac{{32}}{{99}} \cr & = \frac{{22 + 33 + 32}}{{99}} \cr & = \frac{{87}}{{99}} \cr & = 0.\overline {87} \cr} $$

This Question Belongs to Arithmetic Ability >> Number System

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