Solve the following fraction problem: (2)/(3) - (5)/(6) + (1)/(2)

The least common multiple (LCM) is 6.
Convert each fraction to have a denominator of 6.

$$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$$ $$\frac{5}{6} \text{ (remains the same)}$$ $$\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$$

$$\frac{4}{6} - \frac{5}{6} + \frac{3}{6} = \frac{4 - 5 + 3}{6}$$ $$\frac{4 - 5 + 3}{6} = \frac{-1 + 3}{6} = \frac{2}{6}$$

$$\frac{2}{6} = \frac{1}{3}$$

The final answer is $\frac{1}{3}$.