Math Problem Solver

\[ 1\frac{1}{2} + \frac{1}{4} = \frac{7}{4} = 1.75 \]

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