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2 8 overline 768 &nbsp is equal to

This question belongs to Arithmetic Ability Decimal Fraction
Decimal Fraction
?

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

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & = 2.8\overline {768} \cr & = 2 + 0.8\overline {768} \cr & = 2 + \frac{{8768 - 8}}{{9990}} \cr & = 2 + \frac{{8760}}{{9990}} \cr & = 2\frac{{292}}{{333}} \cr} $$
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