Math Problem Solver

\[ \frac{1}{9} + \frac{7}{8} = \frac{71}{72} = 0.986\overline{1} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{9}\) and \(\frac{7}{8}\) is \(72\). \[ \begin{aligned} \frac{1}{9} + \frac{7}{8} &= \frac{1 \cdot 8}{9 \cdot 8} + \frac{7 \cdot 9}{8 \cdot 9} \\ &= \frac{8 + 63}{72} \\ &= \frac{71}{72} \end{aligned} \]