Math Problem Solver

$$\frac{2}{4} - \frac{2}{3} = - \frac{1}{6} = -0.1\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{2}{4}$ and $\frac{-2}{3}$ is $12$. $$\begin{aligned} \frac{2}{4} - \frac{2}{3} &= \frac{2 \cdot 3}{4 \cdot 3} + \frac{-2 \cdot 4}{3 \cdot 4} \\ &= \frac{6 + -8}{12} \\ &= \frac{-2}{12} \\&= - \frac{1}{6} \end{aligned}$$