The value of $$\left( {0.\overline 2 + 0.\overline 3 + 0.\overline {32} } \right)$$ is :
A. $$0.\overline {77} $$
B. $$0.\overline {82} $$
C. $$0.\overline {86} $$
D. $$0.\overline {87} $$
Answer: Option D
Solution (By Examveda Team)
$$\eqalign{ & = 0.\overline 2 + 0.\overline 3 + 0.\overline {32} \cr & = \left( {\frac{2}{9} + \frac{3}{9} + \frac{{32}}{{99}}} \right) \cr & = \left( {\frac{{22 + 33 + 32}}{{99}}} \right) \cr & = \frac{{87}}{{99}} \cr & = 0.\overline {87} \cr} $$This Question Belongs to Arithmetic Ability >> Decimal Fraction
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