Math Problem Solver

\[ \frac{3}{5} + \frac{5}{3} = \frac{34}{15} = 2.2\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{5}\) and \(\frac{5}{3}\) is \(15\). \[ \begin{aligned} \frac{3}{5} + \frac{5}{3} &= \frac{3 \cdot 3}{5 \cdot 3} + \frac{5 \cdot 5}{3 \cdot 5} \\ &= \frac{9 + 25}{15} \\ &= \frac{34}{15} \end{aligned} \]