Find a common denominator and add the fractions.<br><br>
&bull; LCD of 5 and 4 is 20.<br>
&bull; \(\frac{1}{5} = \frac{4}{20}\)<br>
&bull; \(\frac{1}{4} = \frac{5}{20}\)<br>
&bull; \(\frac{4}{20} + \frac{5}{20} = \frac{9}{20}\)<br><br>
\(\frac{9}{20}\) is already in its simplest form (9 and 20 have no common factor).<br><br>
Final Answer: \(\frac{9}{20}\)