65 - 5/3 ÷ 4 - 24 - 1/25 - 3/2 - 2/5\, of \ 6/9 + 2/3 of 1/2 \ = ?

Answer: Option C

$$\begin{array}{rl}& \text{Given expression,}\\ & \frac{6}{5-\frac{5}{3}}÷\frac{4-\frac{2}{4-\frac{1}{2}}}{5-\frac{3}{2}}-\frac{2}{5}\times \left\{\frac{6}{9}+\frac{2}{3}\times \frac{1}{2}\right\}\\ & =\frac{6}{\left(\frac{10}{3}\right)}÷\frac{4-\frac{2}{\left(\frac{7}{2}\right)}}{\left(\frac{7}{2}\right)}-\frac{2}{5}\times \left\{\frac{6}{9}+\frac{1}{3}\right\}\\ & =\frac{6\times 3}{10}÷\frac{4-\frac{2\times 2}{7}}{\left(\frac{7}{2}\right)}-\frac{2}{5}\times 1\\ & =\frac{9}{5}÷\frac{\left(4-\frac{4}{7}\right)}{\left(\frac{7}{2}\right)}-\frac{2}{5}\\ & =\frac{9}{5}÷\left(\frac{24}{7}\times \frac{2}{7}\right)-\frac{2}{5}\\ & =\frac{9}{5}\times \frac{49}{48}-\frac{2}{5}\\ & =\frac{147}{80}-\frac{2}{5}\\ & =\frac{147-32}{80}\\ & =\frac{115}{80}\\ & =\frac{23}{16}\\ & =1\frac{7}{16}\end{array}$$