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1 overline 27 &nbsp in the from frac p q is...

This question belongs to Arithmetic Ability Decimal Fraction
Decimal Fraction
?

$$1.\overline {27} $$   in the from $$\frac{p}{q}$$ is equal to :

Answer & Solution
Correct Answer: Option B
$$\eqalign{ & = 1.\overline {27} \cr & = 1 + 0.\overline {27} \cr & = 1 + \frac{{27}}{{99}} \cr & = 1 + \frac{3}{{11}} \cr & = \frac{{11 + 3}}{{11}} \cr & = \frac{{14}}{{11}} \cr} $$
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