Math Problem Solver

\[ \frac{1}{9} - \frac{6}{8} = - \frac{23}{36} = -0.63\overline{8} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{9}\) and \(\frac{-6}{8}\) is \(72\). \[ \begin{aligned} \frac{1}{9} - \frac{6}{8} &= \frac{1 \cdot 8}{9 \cdot 8} + \frac{-6 \cdot 9}{8 \cdot 9} \\ &= \frac{8 + -54}{72} \\ &= \frac{-46}{72} \\&= - \frac{23}{36} \end{aligned} \]