Math Problem Solver

\[ \frac{3}{7} + \frac{2}{9} = \frac{41}{63} = 0.\overline{650793} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{7}\) and \(\frac{2}{9}\) is \(63\). \[ \begin{aligned} \frac{3}{7} + \frac{2}{9} &= \frac{3 \cdot 9}{7 \cdot 9} + \frac{2 \cdot 7}{9 \cdot 7} \\ &= \frac{27 + 14}{63} \\ &= \frac{41}{63} \end{aligned} \]