Simplify the following expression.
$$\left(3\frac{2}{3} of \frac{3}{4} - \frac{1}{4} of \frac{4}{3}\right) \div \left(\frac{1}{4} \div \frac{3}{2}\right) + 1\frac{1}{2}$$

A

$$\frac{29}{2}$$

B

$$\frac{143}{18}$$

C

$$\frac{32}{3}$$

D

$$16$$