Math Problem Solver

\[ \frac{2}{9} - 3 = - \frac{25}{9} = -2.\overline{7} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{9}\) and \(\frac{-3}{1}\) is \(9\). \[ \begin{aligned} \frac{2}{9} - 3 &= \frac{2 \cdot 1}{9 \cdot 1} + \frac{-3 \cdot 9}{1 \cdot 9} \\ &= \frac{2 + -27}{9} \\ &= \frac{-25}{9} \end{aligned} \]