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The value of left( 0 overline 2 + 0 overline 3...

This question belongs to Arithmetic Ability Decimal Fraction
Decimal Fraction
?

The value of $$\left( {0.\overline 2 + 0.\overline 3 + 0.\overline {32} } \right)$$   is :

Answer & Solution
Correct Answer: Option D
$$\eqalign{ & = 0.\overline 2 + 0.\overline 3 + 0.\overline {32} \cr & = \left( {\frac{2}{9} + \frac{3}{9} + \frac{{32}}{{99}}} \right) \cr & = \left( {\frac{{22 + 33 + 32}}{{99}}} \right) \cr & = \frac{{87}}{{99}} \cr & = 0.\overline {87} \cr} $$
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ANGOTHU LEEMA
ANGOTHU LEEMA 3 years ago
How u get 22, 33,32 in numerator
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