Math Problem Solver

\[ \frac{7}{8} - \frac{6}{9} = \frac{5}{24} = 0.208\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{8}\) and \(\frac{-6}{9}\) is \(72\). \[ \begin{aligned} \frac{7}{8} - \frac{6}{9} &= \frac{7 \cdot 9}{8 \cdot 9} + \frac{-6 \cdot 8}{9 \cdot 8} \\ &= \frac{63 + -48}{72} \\ &= \frac{15}{72} \\&= \frac{5}{24} \end{aligned} \]