Math Problem Solver

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

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{2}$, $\frac{-1}{3}$, and $\frac{-1}{6}$ is $6$. $$\begin{aligned} \frac{1}{2} - \frac{1}{3} - \frac{1}{6} &= \frac{1 \cdot 3}{2 \cdot 3} + \frac{-1 \cdot 2}{3 \cdot 2} + \frac{-1 \cdot 1}{6 \cdot 1} \\ &= \frac{3 + -2 + -1}{6} \\ &= \frac{0}{6} \\&= 0 \end{aligned}$$