To divide 11 by -4, you can perform the division first and then express the result as a mixed number.
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Divide 11 by -4: \[ 11 ÷ -4 = -\frac{11}{4} \]
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Now, to convert \(-\frac{11}{4}\) into a mixed number, divide 11 by 4.
- 4 goes into 11 two times (2 × 4 = 8).
- The remainder is 3 (11 - 8 = 3).
So, \(-\frac{11}{4}\) can be expressed as: \[ -2 \frac{3}{4} \]
Thus, the answer is: \[ -2 \frac{3}{4} \]