Math Problem Solver

$$\frac{1}{2} + \frac{1}{3} + \frac{1}{5} = \frac{31}{30} = 1.0\overline{3}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{2}$, $\frac{1}{3}$, and $\frac{1}{5}$ is $30$. $$\begin{aligned} \frac{1}{2} + \frac{1}{3} + \frac{1}{5} &= \frac{1 \cdot 15}{2 \cdot 15} + \frac{1 \cdot 10}{3 \cdot 10} + \frac{1 \cdot 6}{5 \cdot 6} \\ &= \frac{15 + 10 + 6}{30} \\ &= \frac{31}{30} \end{aligned}$$