Math Problem Solver

$$\frac{2}{3} - 1 = - \frac{1}{3} = -0.\overline{3}$$

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