Math Problem Solver

$$\frac{5}{2} + \frac{7}{4} = \frac{17}{4} = 4.25$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{5}{2}$ and $\frac{7}{4}$ is $4$. $$\begin{aligned} \frac{5}{2} + \frac{7}{4} &= \frac{5 \cdot 2}{2 \cdot 2} + \frac{7 \cdot 1}{4 \cdot 1} \\ &= \frac{10 + 7}{4} \\ &= \frac{17}{4} \end{aligned}$$