The value of 4/5 ÷ 31/4 of 813 - 1/5 - 1/81/5 + 1/8 × 51/5 + 5/6\, is:

Answer: Option D

$$\begin{array}{rl}& \frac{4}{5}÷3\frac{1}{4}\text{ of }\frac{8}{13}-\frac{\frac{1}{5}-\frac{1}{8}}{\frac{1}{5}+\frac{1}{8}}\times 5\frac{1}{5}+\frac{5}{6}\\ & =\frac{4}{5}÷\frac{13}{4}\times \frac{8}{13}-\frac{\frac{1}{5}-\frac{1}{8}}{\frac{1}{5}+\frac{1}{8}}\times 5\frac{1}{5}+\frac{5}{6}\\ & =\frac{2}{5}-\frac{3}{13}\times \frac{26}{5}+\frac{5}{6}\\ & =\frac{2}{5}-\frac{6}{5}+\frac{5}{6}\\ & =\frac{12-36+25}{30}\\ & =\frac{1}{30}\end{array}$$