Math Problem Solver

\[ \frac{5}{6} + \frac{1}{9} = \frac{17}{18} = 0.9\overline{4} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{6}\) and \(\frac{1}{9}\) is \(18\). \[ \begin{aligned} \frac{5}{6} + \frac{1}{9} &= \frac{5 \cdot 3}{6 \cdot 3} + \frac{1 \cdot 2}{9 \cdot 2} \\ &= \frac{15 + 2}{18} \\ &= \frac{17}{18} \end{aligned} \]