Simplify. Enter a single, simplified rational expression or integer. \[ \frac{1}{5}+\frac{1}{15} \] \[ \frac{1}{3}-\frac{1}{5} \]

To simplify the first expression, we need a common denominator for \( \frac{1}{5} \) and \( \frac{1}{15} \). The least common denominator is 15. \[\frac{1}{5} = \frac{3}{15}\] So, \[\frac{1}{5} + \frac{1}{15} = \frac{3}{15} + \frac{1}{15} = \frac{4}{15}\] For the second expression, the least common denominator for \( \frac{1}{3} \) and \( \frac{1}{5} \) is 15. \[\frac{1}{3} = \frac{5}{15}\] Thus, \[\frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15}\] The final simplified expressions are: \[ \frac{4}{15} \] \[ \frac{2}{15} \]