Math Problem Solver

\[ \frac{8}{9} - \frac{2}{3} = \frac{2}{9} = 0.\overline{2} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{8}{9}\) and \(\frac{-2}{3}\) is \(9\). \[ \begin{aligned} \frac{8}{9} - \frac{2}{3} &= \frac{8 \cdot 1}{9 \cdot 1} + \frac{-2 \cdot 3}{3 \cdot 3} \\ &= \frac{8 + -6}{9} \\ &= \frac{2}{9} \end{aligned} \]