Simplify : 1 + 1/21 - 1/2 ÷ 4/7 ( 2/5 + 310 ) of 1/2 + 1/31/2 - 1/3

Answer: Option C

$$\begin{array}{rl}& \text{According to question,}\\ & \frac{1+\frac{1}{2}}{1-\frac{1}{2}}÷\frac{4}{7}\left(\frac{2}{5}+\frac{3}{10}\right)\text{of }\frac{\frac{1}{2}+\frac{1}{3}}{\frac{1}{2}-\frac{1}{3}}\\ & =\frac{\frac{3}{2}}{\frac{1}{2}}÷\frac{4}{7}\left(\frac{20+15}{50}\right)\times \frac{\frac{5}{6}}{\frac{1}{6}}\\ & =\frac{3}{2}\times \frac{2}{1}÷\frac{4}{7}\times \frac{35}{50}\times \frac{5}{6}\times \frac{6}{1}\\ & =\frac{3}{2}\times \frac{2}{1}÷2\\ & =\frac{3}{2}\times 2÷\frac{1}{2}\\ & =\frac{3}{2}\end{array}$$