Math Problem Solver

$$\frac{3}{10} + \frac{7}{15} = \frac{23}{30} = 0.7\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{3}{10}$ and $\frac{7}{15}$ is $30$. $$\begin{aligned} \frac{3}{10} + \frac{7}{15} &= \frac{3 \cdot 3}{10 \cdot 3} + \frac{7 \cdot 2}{15 \cdot 2} \\ &= \frac{9 + 14}{30} \\ &= \frac{23}{30} \end{aligned}$$