What is the simplified value of the following?
$$\frac{{9 \div \frac{3}{7}{\text{ of }}\left( {9 + 6 \times \overline {4 - 2} } \right) + \left[ {\frac{1}{5} \div \frac{7}{{25}} - \left\{ {\frac{5}{8} + \frac{6}{{16}}} \right\}} \right]}}{{24 \div \overline {16 - 10} + 36 \div \left( {5 + 20 \div 4 - 1} \right)}}$$

Solution (By Examveda Team)

$$\eqalign{ & \frac{{9 \div \frac{3}{7}{\text{ of }}\left( {9 + 6 \times \overline {4 - 2} } \right) + \left[ {\frac{1}{5} \div \frac{7}{{25}} - \left\{ {\frac{5}{8} + \frac{6}{{16}}} \right\}} \right]}}{{24 \div \overline {16 - 10} + 36 \div \left( {5 + 20 \div 4 - 1} \right)}} \cr & = \frac{{9 \div \frac{3}{7}{\text{ of }}\left( {9 + 6 \times 2} \right) + \left[ {\frac{1}{5} \times \frac{{25}}{7} - \left\{ {\frac{{10 + 6}}{{16}}} \right\}} \right]}}{{24 \div 6 + 36 \div \left( {5 + 5 - 1} \right)}} \cr & = \frac{{9 \div \frac{3}{7}{\text{ of }}\left( {21} \right) + \left[ {\frac{5}{7} - 1} \right]}}{{4 + 36 \div 9}} \cr & = \frac{{9 + \frac{{63}}{7} + \left( {\frac{{ - 2}}{7}} \right)}}{{4 + 4}} \cr & = \frac{{1 - \frac{2}{7}}}{8} \cr & = \frac{{\frac{5}{7}}}{8} \cr & = \frac{5}{{56}} \cr} $$