2 8 overline 768 is equal to

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$${2.8\overline {768} }$$ is equal to :

A. $$2\frac{878}{999}$$

B. $$2\frac{9}{10}$$

C. $$2\frac{292}{333}$$

D. $$2\frac{4394}{4995}$$

Answer: Option C

Solution (By Examveda Team)

$$\eqalign{ & = 2.8\overline {768} \cr & = 2 + 0.8\overline {768} \cr & = 2 + \frac{{8768 - 8}}{{9990}} \cr & = 2 + \frac{{8760}}{{9990}} \cr & = 2\frac{{292}}{{333}} \cr} $$

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