Math Problem Solver

$$\frac{2}{3} + \frac{5}{6} - \frac{1}{2} = 1$$

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