Math Problem Solver

\[ \frac{5}{9} + \frac{2}{3} + \frac{1}{6} = \frac{25}{18} = 1.3\overline{8} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{9}\), \(\frac{2}{3}\), and \(\frac{1}{6}\) is \(18\). \[ \begin{aligned} \frac{5}{9} + \frac{2}{3} + \frac{1}{6} &= \frac{5 \cdot 2}{9 \cdot 2} + \frac{2 \cdot 6}{3 \cdot 6} + \frac{1 \cdot 3}{6 \cdot 3} \\ &= \frac{10 + 12 + 3}{18} \\ &= \frac{25}{18} \end{aligned} \]