Math Problem Solver

\[ \frac{2}{5} + \frac{3}{7} = \frac{29}{35} = 0.8\overline{285714} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{5}\) and \(\frac{3}{7}\) is \(35\). \[ \begin{aligned} \frac{2}{5} + \frac{3}{7} &= \frac{2 \cdot 7}{5 \cdot 7} + \frac{3 \cdot 5}{7 \cdot 5} \\ &= \frac{14 + 15}{35} \\ &= \frac{29}{35} \end{aligned} \]