Math Problem Solver

\[ \frac{3}{7} + \frac{1}{6} = \frac{25}{42} = 0.5\overline{952380} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{7}\) and \(\frac{1}{6}\) is \(42\). \[ \begin{aligned} \frac{3}{7} + \frac{1}{6} &= \frac{3 \cdot 6}{7 \cdot 6} + \frac{1 \cdot 7}{6 \cdot 7} \\ &= \frac{18 + 7}{42} \\ &= \frac{25}{42} \end{aligned} \]