The simplification of $$\frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}\, = ?$$

A. 5

B. $$\frac{5}{3}$$

C. $$\frac{5}{{12}}$$

D. $$\frac{3}{4}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{According to question,}} \cr & \frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}\,\, \cr & \Rightarrow \frac{5}{{3 + \frac{3}{{\frac{1}{3}}}}}\, \cr & \Rightarrow \frac{5}{{3 + 9}} \cr & \Rightarrow \frac{5}{{12}} \cr} $$