Math Problem Solver

$$\frac{2}{3} - \frac{1}{2} = \frac{1}{6} = 0.1\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{2}{3}$ and $\frac{-1}{2}$ is $6$. $$\begin{aligned} \frac{2}{3} - \frac{1}{2} &= \frac{2 \cdot 2}{3 \cdot 2} + \frac{-1 \cdot 3}{2 \cdot 3} \\ &= \frac{4 + -3}{6} \\ &= \frac{1}{6} \end{aligned}$$