Math Problem Solver

$$5\frac{1}{2} + \frac{3}{4} = \frac{25}{4} = 6.25$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{5}{1}$, $\frac{1}{2}$, and $\frac{3}{4}$ is $4$. $$\begin{aligned} 5\frac{1}{2} + \frac{3}{4} &= \frac{5 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 2}{2 \cdot 2} + \frac{3 \cdot 1}{4 \cdot 1} \\ &= \frac{20 + 2 + 3}{4} \\ &= \frac{25}{4} \end{aligned}$$