Math Problem Solver

\[ \frac{5}{2} - \frac{9}{4} = \frac{1}{4} = 0.25 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{2}\) and \(\frac{-9}{4}\) is \(4\). \[ \begin{aligned} \frac{5}{2} - \frac{9}{4} &= \frac{5 \cdot 2}{2 \cdot 2} + \frac{-9 \cdot 1}{4 \cdot 1} \\ &= \frac{10 + -9}{4} \\ &= \frac{1}{4} \end{aligned} \]