Math Problem Solver

\[ \frac{1}{9} + \frac{1}{6} = \frac{5}{18} = 0.2\overline{7} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{9}\) and \(\frac{1}{6}\) is \(18\). \[ \begin{aligned} \frac{1}{9} + \frac{1}{6} &= \frac{1 \cdot 2}{9 \cdot 2} + \frac{1 \cdot 3}{6 \cdot 3} \\ &= \frac{2 + 3}{18} \\ &= \frac{5}{18} \end{aligned} \]