Math Problem Solver

\[ 4\frac{2}{3} + 5\frac{1}{6} = \frac{59}{6} = 9.8\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{1}\), \(\frac{2}{3}\), \(\frac{5}{1}\), and \(\frac{1}{6}\) is \(6\). \[ \begin{aligned} 4\frac{2}{3} + 5\frac{1}{6} &= \frac{4 \cdot 6}{1 \cdot 6} + \frac{2 \cdot 2}{3 \cdot 2} + \frac{5 \cdot 6}{1 \cdot 6} + \frac{1 \cdot 1}{6 \cdot 1} \\ &= \frac{24 + 4 + 30 + 1}{6} \\ &= \frac{59}{6} \end{aligned} \]