Math Problem Solver

$$\frac{32}{5} + \frac{16}{3} + 2 = \frac{206}{15} = 13.7\overline{3}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{32}{5}$, $\frac{16}{3}$, and $\frac{2}{1}$ is $15$. $$\begin{aligned} \frac{32}{5} + \frac{16}{3} + 2 &= \frac{32 \cdot 3}{5 \cdot 3} + \frac{16 \cdot 5}{3 \cdot 5} + \frac{2 \cdot 15}{1 \cdot 15} \\ &= \frac{96 + 80 + 30}{15} \\ &= \frac{206}{15} \end{aligned}$$