Math Problem Solver

\[ 8\frac{2}{9} + 2\frac{7}{12} = \frac{389}{36} = 10.80\overline{5} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{8}{1}\), \(\frac{2}{9}\), \(\frac{2}{1}\), and \(\frac{7}{12}\) is \(36\). \[ \begin{aligned} 8\frac{2}{9} + 2\frac{7}{12} &= \frac{8 \cdot 36}{1 \cdot 36} + \frac{2 \cdot 4}{9 \cdot 4} + \frac{2 \cdot 36}{1 \cdot 36} + \frac{7 \cdot 3}{12 \cdot 3} \\ &= \frac{288 + 8 + 72 + 21}{36} \\ &= \frac{389}{36} \end{aligned} \]