Simplify : 5 3 × 7 51 of 17 5 - 1 3 2 9 × 5 7 of 28 5 - 2 3

Answer: Option C

$$\begin{array}{rl}& \text{According to question,}\\ & \frac{\frac{5}{3}\times \frac{7}{51}\text{ of }\frac{17}{5}-\frac{1}{3}}{\frac{2}{9}\times \frac{5}{7}\text{ of }\frac{28}{5}-\frac{2}{3}}\\ & \Rightarrow \frac{\frac{5}{3}\times \frac{7}{51}\times \frac{17}{5}-\frac{1}{3}}{\frac{2}{9}\times \frac{5}{7}\times \frac{28}{5}-\frac{2}{3}}\\ & \Rightarrow \frac{\frac{5}{3}\times \frac{7}{15}-\frac{1}{3}}{\frac{2}{9}\times 4-\frac{2}{3}}\\ & \Rightarrow \frac{\frac{7}{9}-\frac{1}{3}}{\frac{8}{9}-\frac{2}{3}}\\ & \Rightarrow \frac{\frac{7-3}{9}}{\frac{8-6}{9}}\\ & \Rightarrow \frac{4}{2}\\ & \Rightarrow 2\end{array}$$