Math Problem Solver

$$\frac{-5}{2} - \frac{-25}{2} + 4 = 14$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{-5}{2}$, $\frac{25}{2}$, and $\frac{4}{1}$ is $2$. $$\begin{aligned} \frac{-5}{2} - \frac{-25}{2} + 4 &= \frac{-5 \cdot 1}{2 \cdot 1} + \frac{25 \cdot 1}{2 \cdot 1} + \frac{4 \cdot 2}{1 \cdot 2} \\ &= \frac{-5 + 25 + 8}{2} \\ &= \frac{28}{2} \\&= 14 \end{aligned}$$