Math Problem Solver

\[ \frac{-9}{2} + \frac{5}{12} = - \frac{49}{12} = -4.08\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-9}{2}\) and \(\frac{5}{12}\) is \(12\). \[ \begin{aligned} \frac{-9}{2} + \frac{5}{12} &= \frac{-9 \cdot 6}{2 \cdot 6} + \frac{5 \cdot 1}{12 \cdot 1} \\ &= \frac{-54 + 5}{12} \\ &= \frac{-49}{12} \end{aligned} \]