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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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Comments ( 1 )

  1. ANGOTHU LEEMA
    ANGOTHU LEEMA :
    9 months ago

    How u get 22, 33,32 in numerator

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