Math Problem Solver

\[ \frac{7}{2} - 5 = - \frac{3}{2} = -1.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{2}\) and \(\frac{-5}{1}\) is \(2\). \[ \begin{aligned} \frac{7}{2} - 5 &= \frac{7 \cdot 1}{2 \cdot 1} + \frac{-5 \cdot 2}{1 \cdot 2} \\ &= \frac{7 + -10}{2} \\ &= \frac{-3}{2} \end{aligned} \]