Evaluate the expression: (1)/(2) of 3(1)/(3) + 1(1)/(2) (2(1)/(8) - (2)/(3))(3)/(4) of 2(1)/(2) / (1)/(2)

Step 1: Convert all mixed numbers to improper fractions.
The expression is:

$$\frac{\frac{1}{2} \text{ of } 3\frac{1}{3} + 1\frac{1}{2} \left(2\frac{1}{8} - \frac{2}{3}\right)}{\frac{3}{4} \text{ of } 2\frac{1}{2} \div \frac{1}{2}}$$

Convert mixed numbers:
$3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}$
$1\frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{3}{2}$
$2\frac{1}{8} = \frac{2 \times 8