Math Problem Solver

$$\frac{1}{3} - 1 = - \frac{2}{3} = -0.\overline{6}$$

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