Add the two mixed numbers by converting to improper fractions with a common denominator.<br><br>
&bull; \(1\frac{1}{2} = \frac{3}{2}\) and \(3\frac{1}{3} = \frac{10}{3}\)<br>
&bull; LCM of 2 and 3 is 6.<br>
&bull; \(\frac{3}{2} = \frac{9}{6}\) and \(\frac{10}{3} = \frac{20}{6}\)<br>
&bull; \(\frac{9}{6} + \frac{20}{6} = \frac{29}{6}\)<br>
&bull; Convert to mixed number: \(\frac{29}{6} = 4\frac{5}{6}\)<br><br>
Final Answer: \(4\frac{5}{6}\)