Math Problem Solver

\[ \frac{1}{7} + \frac{2}{5} = \frac{19}{35} = 0.5\overline{428571} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{7}\) and \(\frac{2}{5}\) is \(35\). \[ \begin{aligned} \frac{1}{7} + \frac{2}{5} &= \frac{1 \cdot 5}{7 \cdot 5} + \frac{2 \cdot 7}{5 \cdot 7} \\ &= \frac{5 + 14}{35} \\ &= \frac{19}{35} \end{aligned} \]