Math Problem Solver

\[ 90 - \frac{2}{9} = \frac{808}{9} = 89.\overline{7} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{90}{1}\) and \(\frac{-2}{9}\) is \(9\). \[ \begin{aligned} 90 - \frac{2}{9} &= \frac{90 \cdot 9}{1 \cdot 9} + \frac{-2 \cdot 1}{9 \cdot 1} \\ &= \frac{810 + -2}{9} \\ &= \frac{808}{9} \end{aligned} \]