Math Problem Solver

\[ 7 + \frac{9}{11} = \frac{86}{11} = 7.\overline{81} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{1}\) and \(\frac{9}{11}\) is \(11\). \[ \begin{aligned} 7 + \frac{9}{11} &= \frac{7 \cdot 11}{1 \cdot 11} + \frac{9 \cdot 1}{11 \cdot 1} \\ &= \frac{77 + 9}{11} \\ &= \frac{86}{11} \end{aligned} \]