Math Problem Solver

\[ \frac{5}{6} - \frac{4}{9} = \frac{7}{18} = 0.3\overline{8} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{6}\) and \(\frac{-4}{9}\) is \(18\). \[ \begin{aligned} \frac{5}{6} - \frac{4}{9} &= \frac{5 \cdot 3}{6 \cdot 3} + \frac{-4 \cdot 2}{9 \cdot 2} \\ &= \frac{15 + -8}{18} \\ &= \frac{7}{18} \end{aligned} \]