Math Problem Solver

\[ 5\frac{1}{2} + 8\frac{3}{4} = \frac{57}{4} = 14.25 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{1}{2}\), \(\frac{8}{1}\), and \(\frac{3}{4}\) is \(4\). \[ \begin{aligned} 5\frac{1}{2} + 8\frac{3}{4} &= \frac{5 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 2}{2 \cdot 2} + \frac{8 \cdot 4}{1 \cdot 4} + \frac{3 \cdot 1}{4 \cdot 1} \\ &= \frac{20 + 2 + 32 + 3}{4} \\ &= \frac{57}{4} \end{aligned} \]