Divide 11 by −4

Question

. Write the answer as a mixed number with the correct sign

Answer 1

To divide 11 by -4, we start with the division:

\[ \frac{11}{-4} = -\frac{11}{4} \]

Next, we convert this improper fraction into a mixed number.

1. Divide 11 by 4, which gives 2 as the whole number part (since \(4 \times 2 = 8\)).
2. Subtract 8 from 11 to find the remainder: \(11 - 8 = 3\).

Thus, we can express \(-\frac{11}{4}\) as a mixed number:

\[ -2 \frac{3}{4} \]

So, the final answer is:

\[ -2 \frac{3}{4} \]