What is the value of $$\frac{\frac{3}{4} \div \frac{9}{32} + \frac{4}{3} \times \frac{2}{3}  of  \frac{27}{16}}{\frac{1}{2} \times \left(\frac{8}{3} - 2\right) \div \frac{4}{9} + \left(\frac{1}{3} + \frac{1}{6}\right)}$$?

Firstly solve bracket and then apply bodmass rule

$$\frac{\frac{3}{4} \div \frac{9}{32} + \frac{4}{3} \times \frac{2}{3}  of  \frac{27}{16}}{\frac{1}{2} \times \left(\frac{8}{3} - 2\right) \div \frac{4}{9} + \left(\frac{1}{3} + \frac{1}{6}\right)}$$

$$\frac{\frac{3}{4} \div \frac{9}{32} + \frac{4}{3} \times \frac{9}{8}}{\frac{1}{2} \times \frac {2}{3} \div \frac{4}{9} + \frac{1}{2}}$$

$$\frac{\frac{8}{3} + \frac{3}{2}}{\frac{3}{4} + \frac{1}{2}}$$

$$\frac{\frac{25}{6}}{\frac{5}{4}}$$

$$\frac{10}{3}$$