Math Problem Solver

\[ 5\frac{5}{6} + 7\frac{2}{3} = \frac{27}{2} = 13.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{5}{6}\), \(\frac{7}{1}\), and \(\frac{2}{3}\) is \(6\). \[ \begin{aligned} 5\frac{5}{6} + 7\frac{2}{3} &= \frac{5 \cdot 6}{1 \cdot 6} + \frac{5 \cdot 1}{6 \cdot 1} + \frac{7 \cdot 6}{1 \cdot 6} + \frac{2 \cdot 2}{3 \cdot 2} \\ &= \frac{30 + 5 + 42 + 4}{6} \\ &= \frac{81}{6} \\&= \frac{27}{2} \end{aligned} \]