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

A. $$\frac{127}{100}$$

B. $$\frac{14}{11}$$

C. $$\frac{73}{100}$$

D. $$\frac{11}{14}$$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & = 1.\overline {27} \cr & = 1 + 0.\overline {27} \cr & = 1 + \frac{{27}}{{99}} \cr & = 1 + \frac{3}{{11}} \cr & = \frac{{11 + 3}}{{11}} \cr & = \frac{{14}}{{11}} \cr} $$