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Examveda

The value of $$0.\overline {57} - 0.4\overline {32} + 0.3\overline 5 $$    is:

A. $$0.4\overline {98} $$

B. $$0.4\overline {94} $$

C. $$0.\overline {498} $$

D. $$0.\overline {494} $$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & 0.\overline {57} - 0.4\overline {32} + 0.3\overline 5 \cr & = 0.\overline {57} - 0.4\overline {32} + 0.3\overline {55} \cr & = \frac{{57}}{{99}} - \frac{{432 - 4}}{{990}} + \frac{{355 - 3}}{{990}} \cr & = \frac{{570 - 428 + 352}}{{990}} \cr & = 0.4\overline {94} \cr} $$

This Question Belongs to Arithmetic Ability >> Simplification

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