Simplify : $$1 + {2 \over {1 + {3 \over {1 + {4 \over 5}}}}}$$

A. $$\frac{7}{4}$$

B. $$\frac{4}{7}$$

C. $$\frac{7}{5}$$

D. $$\frac{3}{7}$$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & 1 + \frac{2}{{1 + \frac{3}{{1 + \frac{4}{5}}}}} \cr & = 1 + \frac{2}{{1 + \frac{3}{{\frac{9}{5}}}}} \cr & = 1 + \frac{2}{{1 + \frac{5}{3}}} \cr & = 1 + \frac{2}{{\frac{8}{3}}} \cr & = 1 + \frac{3}{4} \cr & = \frac{7}{4} \cr} $$