To add the fractions \( \frac{9}{16} \) and \( \frac{1}{16} \), you simply add the numerators since the denominators are the same:
\[ \frac{9}{16} + \frac{1}{16} = \frac{9 + 1}{16} = \frac{10}{16} \]
Now, you can simplify \( \frac{10}{16} \):
\[ \frac{10}{16} = \frac{5}{8} \]
So, \( \frac{9}{16} + \frac{1}{16} = \frac{5}{8} \).