Math Problem Solver

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

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