The value of $$2.\overline {13} \div 3.\overline {12} $$   is:

A. $$\frac{{239}}{{309}}$$

B. $$\frac{{211}}{{309}}$$

C. $$\frac{{249}}{{309}}$$

D. $$\frac{{301}}{{309}}$$

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & 2.\overline {13} \div 3.\overline {12} \cr & = \frac{{213 - 2}}{{99}} \div \frac{{312 - 3}}{{99}} \cr & = \frac{{211}}{{99}} \times \frac{{99}}{{309}} \cr & = \frac{{211}}{{309}}{\text{ Answer}} \cr} $$