Math Problem Solver

\[ 1\frac{3}{4} + 30 = \frac{127}{4} = 31.75 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\), \(\frac{3}{4}\), and \(\frac{30}{1}\) is \(4\). \[ \begin{aligned} 1\frac{3}{4} + 30 &= \frac{1 \cdot 4}{1 \cdot 4} + \frac{3 \cdot 1}{4 \cdot 1} + \frac{30 \cdot 4}{1 \cdot 4} \\ &= \frac{4 + 3 + 120}{4} \\ &= \frac{127}{4} \end{aligned} \]