Math Problem Solver

\[ \frac{3}{4} + 8\frac{8}{9} + 12 = \frac{779}{36} = 21.63\overline{8} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{4}\), \(\frac{8}{1}\), \(\frac{8}{9}\), and \(\frac{12}{1}\) is \(36\). \[ \begin{aligned} \frac{3}{4} + 8\frac{8}{9} + 12 &= \frac{3 \cdot 9}{4 \cdot 9} + \frac{8 \cdot 36}{1 \cdot 36} + \frac{8 \cdot 4}{9 \cdot 4} + \frac{12 \cdot 36}{1 \cdot 36} \\ &= \frac{27 + 288 + 32 + 432}{36} \\ &= \frac{779}{36} \end{aligned} \]