Math Problem Solver

\[ \frac{9}{12} + \frac{7}{9} = \frac{55}{36} = 1.52\overline{7} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{9}{12}\) and \(\frac{7}{9}\) is \(36\). \[ \begin{aligned} \frac{9}{12} + \frac{7}{9} &= \frac{9 \cdot 3}{12 \cdot 3} + \frac{7 \cdot 4}{9 \cdot 4} \\ &= \frac{27 + 28}{36} \\ &= \frac{55}{36} \end{aligned} \]