1. The problem is to simplify the expression $$-\frac{5}{3} \times \left(\frac{1}{2}\right)$$. 2. The formula for multiplying fractions is $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$. 3. Applying the formula, we multiply the numerators and denominators: $$-\frac{5}{3} \times \frac{1}{2} = \frac{-5 \times 1}{3 \times 2} = \frac{-5}{6}$$. 4. There are no common factors to cancel between 5 and 6, so the fraction is already in simplest form. 5. Therefore, the final answer is $$-\frac{5}{6}$$.