Math Problem Solver

\[ 7\frac{2}{3} = \frac{23}{3} = 7.\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{1}\) and \(\frac{2}{3}\) is \(3\). \[ \begin{aligned} 7\frac{2}{3} &= \frac{7 \cdot 3}{1 \cdot 3} + \frac{2 \cdot 1}{3 \cdot 1} \\ &= \frac{21 + 2}{3} \\ &= \frac{23}{3} \end{aligned} \]