The value of $$\left[ {\frac{4}{7}{\text{ of }}2\frac{4}{5} \times 1\frac{2}{3} - \left( {3\frac{1}{2} - 2\frac{1}{6}} \right)} \right] \div \left( {3\frac{1}{5} \div 4\frac{1}{2}{\text{ of }}5\frac{1}{3}} \right){\text{is:}}$$

Solution (By Examveda Team)

$$\eqalign{ & \left[ {\frac{4}{7}{\text{ of }}2\frac{4}{5} \times 1\frac{2}{3} - \left( {3\frac{1}{2} - 2\frac{1}{6}} \right)} \right] \div \left[ {\left( {3\frac{1}{5} \div 4\frac{1}{2}{\text{ of }}5\frac{1}{3}} \right)} \right] \cr & = \left[ {\frac{4}{7}{\text{ of }}\frac{{14}}{5} \times \frac{5}{3} - \left( {\frac{7}{2} - \frac{{13}}{6}} \right)} \right] \div \left[ {\left( {\frac{{16}}{5} \div \frac{9}{2}{\text{ of }}\frac{{16}}{3}} \right)} \right] \cr & = \left[ {\frac{8}{3} - \left( {\frac{{21 - 13}}{6}} \right)} \right] \div \left[ {\left( {\frac{{16}}{5} \div 24} \right)} \right] \cr & = \left[ {\frac{8}{3} - \frac{8}{6}} \right] \div \left[ {\frac{{16}}{5} \times \frac{1}{{24}}} \right] \cr & = \frac{4}{3} \div \frac{2}{{15}} \cr & = \frac{4}{3} \times \frac{{15}}{2} \cr & = 10 \cr} $$