To divide 11 by -4, we can perform the division first:
\[ 11 \div -4 = -\frac{11}{4} \]
Now, to express \(-\frac{11}{4}\) as a mixed number, we convert the improper fraction:
- Divide 11 by 4, which equals 2 with a remainder of 3.
- This can be written as \(2\frac{3}{4}\).
Since the fraction is negative, we express the mixed number as:
\[ -2\frac{3}{4} \]
Thus, the final answer is:
\[ -2\frac{3}{4} \]