To subtract the fractions \( \frac{5}{9} \) and \( \frac{3}{9} \), you can simply subtract the numerators since the denominators are the same:
\[ \frac{5}{9} - \frac{3}{9} = \frac{5 - 3}{9} = \frac{2}{9} \]
So, \( \frac{5}{9} - \frac{3}{9} = \frac{2}{9} \).