Math Problem Solver

\[ \frac{5}{2} + -9 = - \frac{13}{2} = -6.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{2}\) and \(\frac{-9}{1}\) is \(2\). \[ \begin{aligned} \frac{5}{2} + -9 &= \frac{5 \cdot 1}{2 \cdot 1} + \frac{-9 \cdot 2}{1 \cdot 2} \\ &= \frac{5 + -18}{2} \\ &= \frac{-13}{2} \end{aligned} \]