The value of 31/3 ÷ 21/2 of 13/5 + ( 3/8 + 1/7 × 13/4 ) is:

Answer: Option B

$$\begin{array}{rl}& 3\frac{1}{3}÷2\frac{1}{2}\text{ of }1\frac{3}{5}+\left(\frac{3}{8}+\frac{1}{7}\times 1\frac{3}{4}\right)\\ & =\frac{10}{3}÷\frac{5}{2}\times \frac{8}{5}+\left(\frac{3}{8}+\frac{1}{7}\times \frac{7}{4}\right)\\ & =\frac{10}{3}\times \frac{1}{4}+\frac{5}{8}\\ & =\frac{5}{6}+\frac{5}{8}\\ & =\frac{35}{24}\end{array}$$