Math Problem Solver

\[ \frac{1}{2} - \frac{4}{9} = \frac{1}{18} = 0.0\overline{5} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\) and \(\frac{-4}{9}\) is \(18\). \[ \begin{aligned} \frac{1}{2} - \frac{4}{9} &= \frac{1 \cdot 9}{2 \cdot 9} + \frac{-4 \cdot 2}{9 \cdot 2} \\ &= \frac{9 + -8}{18} \\ &= \frac{1}{18} \end{aligned} \]