The value of $$\frac{1\frac{2}{3} + \left[16\frac{1}{2} - \left\{1\frac{1}{10}\left(3\frac{1}{3} + 5\right)\right\}\right]}{\frac{1}{4}  of  2\frac{1}{2} \div \frac{3}{5} \times 4\frac{4}{5}}$$ is:

=$$\frac{1\frac{2}{3} + \left[16\frac{1}{2} - \left\{1\frac{1}{10}\left(3\frac{1}{3} + 5\right)\right\}\right]}{\frac{5}{8} \div \frac{3}{5} \times 4\frac{4}{5}}$$

=$$\frac{\frac{5}{3} + \frac{33}{2} - \frac{55}{6}}{\frac{5}{8} \div \frac{3}{5} \times 4\frac{4}{5}}$$

=$$\frac{\frac{5}{3} + \frac{33}{2} - \frac{55}{6}}{\frac{25}{24}  \times \frac{24}{5}}$$

=$$\frac{\frac{54}{6}}{5}$$

=9/5

=$$1\frac{4}{5}$$