The value of 2/3 ÷ 310 of 4/9 - 4/5 × 11/9 ÷ 815 + 3/4 ÷ 1/2 is:

Answer: Option B

$$\begin{array}{rl}& \frac{2}{3}÷\frac{3}{10}\text{ of }\frac{4}{9}-\frac{4}{5}\times 1\frac{1}{9}÷\frac{8}{15}+\frac{3}{4}÷\frac{1}{2}\\ & =\frac{2}{3}÷\frac{2}{15}-\frac{4}{5}\times \frac{10}{9}\times \frac{15}{8}+\frac{3}{4}\times 2\\ & =\frac{2}{3}\times \frac{15}{2}-\frac{5}{3}+\frac{3}{2}\\ & =5-\frac{5}{3}+\frac{3}{2}\\ & =\frac{29}{6}\end{array}$$