Math Problem Solver

$$\frac{1}{2} - \frac{3}{4} + \frac{5}{6} = \frac{7}{12} = 0.58\overline{3}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{2}$, $\frac{-3}{4}$, and $\frac{5}{6}$ is $12$. $$\begin{aligned} \frac{1}{2} - \frac{3}{4} + \frac{5}{6} &= \frac{1 \cdot 6}{2 \cdot 6} + \frac{-3 \cdot 3}{4 \cdot 3} + \frac{5 \cdot 2}{6 \cdot 2} \\ &= \frac{6 + -9 + 10}{12} \\ &= \frac{7}{12} \end{aligned}$$