Math Problem Solver

\[ 5\frac{4}{9} + 3\frac{1}{6} = \frac{155}{18} = 8.6\overline{1} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{4}{9}\), \(\frac{3}{1}\), and \(\frac{1}{6}\) is \(18\). \[ \begin{aligned} 5\frac{4}{9} + 3\frac{1}{6} &= \frac{5 \cdot 18}{1 \cdot 18} + \frac{4 \cdot 2}{9 \cdot 2} + \frac{3 \cdot 18}{1 \cdot 18} + \frac{1 \cdot 3}{6 \cdot 3} \\ &= \frac{90 + 8 + 54 + 3}{18} \\ &= \frac{155}{18} \end{aligned} \]