Math Problem Solver

$$\frac{34}{5} + \frac{39}{10} + \frac{82}{15} = \frac{97}{6} = 16.1\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{34}{5}$, $\frac{39}{10}$, and $\frac{82}{15}$ is $30$. $$\begin{aligned} \frac{34}{5} + \frac{39}{10} + \frac{82}{15} &= \frac{34 \cdot 6}{5 \cdot 6} + \frac{39 \cdot 3}{10 \cdot 3} + \frac{82 \cdot 2}{15 \cdot 2} \\ &= \frac{204 + 117 + 164}{30} \\ &= \frac{485}{30} \\&= \frac{97}{6} \end{aligned}$$