Divide 11 by −4

. Write the answer as a mixed number with the correct sign.(1 point)

1 answer

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:

  1. Divide 11 by 4, which equals 2 with a remainder of 3.
  2. 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:

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