Math Problem Solver

\[ \frac{1}{5} + \frac{1}{6} = \frac{11}{30} = 0.3\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{5}\) and \(\frac{1}{6}\) is \(30\). \[ \begin{aligned} \frac{1}{5} + \frac{1}{6} &= \frac{1 \cdot 6}{5 \cdot 6} + \frac{1 \cdot 5}{6 \cdot 5} \\ &= \frac{6 + 5}{30} \\ &= \frac{11}{30} \end{aligned} \]