To find the sum of \( \frac{9}{16} \) and \( \frac{5}{16} \), you simply add the numerators since the denominators are the same:
\[ \frac{9}{16} + \frac{5}{16} = \frac{9 + 5}{16} = \frac{14}{16} \]
Therefore, the sum is \( \frac{14}{16} \).
Among the given responses, the correct answer is:
14/16.