To divide \( 11 \) by \( -4 \):
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Calculate the division: \[ \frac{11}{-4} = -\frac{11}{4} \]
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Convert \(-\frac{11}{4}\) into a mixed number:
- The whole number part is \(2\) (since \(4\) goes into \(11\) two times).
- The remainder is \(11 - 8 = 3\).
Thus, \(-\frac{11}{4}\) can be expressed as the mixed number: \[ -2 \frac{3}{4} \]
So the answer is: \[ -2 \frac{3}{4} \]