Math Problem Solver

$$3\frac{2}{5} + 5\frac{1}{3} = \frac{131}{15} = 8.7\overline{3}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{3}{1}$, $\frac{2}{5}$, $\frac{5}{1}$, and $\frac{1}{3}$ is $15$. $$\begin{aligned} 3\frac{2}{5} + 5\frac{1}{3} &= \frac{3 \cdot 15}{1 \cdot 15} + \frac{2 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 15}{1 \cdot 15} + \frac{1 \cdot 5}{3 \cdot 5} \\ &= \frac{45 + 6 + 75 + 5}{15} \\ &= \frac{131}{15} \end{aligned}$$