Math Problem Solver

\[ \frac{4}{7} + \frac{1}{8} = \frac{39}{56} = 0.696\overline{428571} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{7}\) and \(\frac{1}{8}\) is \(56\). \[ \begin{aligned} \frac{4}{7} + \frac{1}{8} &= \frac{4 \cdot 8}{7 \cdot 8} + \frac{1 \cdot 7}{8 \cdot 7} \\ &= \frac{32 + 7}{56} \\ &= \frac{39}{56} \end{aligned} \]