Convert mixed numbers to improper fractions, find a common denominator, then add.<br><br>
&bull; \(3\frac{1}{4} = \frac{13}{4}\) and \(1\frac{1}{2} = \frac{3}{2} = \frac{6}{4}\)<br>
&bull; \(\frac{13}{4} + \frac{6}{4} = \frac{19}{4}\)<br>
&bull; \(\frac{19}{4} = 4\frac{3}{4}\)<br><br>
Final Answer: \(4\frac{3}{4}\)