Convert each mixed number to an improper fraction, find a common denominator, and add.<br><br>
&bull; \(1\frac{2}{3} = \frac{5}{3}\)<br>
&bull; \(1\frac{2}{5} = \frac{7}{5}\)<br>
&bull; LCD of 3 and 5 is 15.<br>
&bull; \(\frac{5}{3} = \frac{25}{15}\), \(\frac{7}{5} = \frac{21}{15}\)<br>
&bull; \(\frac{25}{15} + \frac{21}{15} = \frac{46}{15}\)<br>
&bull; \(\frac{46}{15} = 3\frac{1}{15}\) (since 46 ÷ 15 = 3 R1)<br><br>
Final Answer: \(3\frac{1}{15}\)