Math Problem Solver

\[ \frac{3}{5} + \frac{7}{9} = \frac{62}{45} = 1.3\overline{7} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{5}\) and \(\frac{7}{9}\) is \(45\). \[ \begin{aligned} \frac{3}{5} + \frac{7}{9} &= \frac{3 \cdot 9}{5 \cdot 9} + \frac{7 \cdot 5}{9 \cdot 5} \\ &= \frac{27 + 35}{45} \\ &= \frac{62}{45} \end{aligned} \]