Math Problem Solver

\[ 4\frac{1}{4} + 2\frac{1}{2} = \frac{27}{4} = 6.75 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{1}\), \(\frac{1}{4}\), \(\frac{2}{1}\), and \(\frac{1}{2}\) is \(4\). \[ \begin{aligned} 4\frac{1}{4} + 2\frac{1}{2} &= \frac{4 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 1}{4 \cdot 1} + \frac{2 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 2}{2 \cdot 2} \\ &= \frac{16 + 1 + 8 + 2}{4} \\ &= \frac{27}{4} \end{aligned} \]