To compare the two fractions \( \frac{11}{15} \) and \( \frac{4}{15} \), you can see that they have the same denominator (15). This means you can directly compare the numerators.
Since 11 is greater than 4, it follows that:
\[ \frac{11}{15} > \frac{4}{15} \]
Therefore, the complete statement would be:
\[ \frac{11}{15} > \frac{4}{15} \]