11 divided by -4. Write the answer as a mixed number with the correct sign

1 answer

To express \( \frac{11}{-4} \) as a mixed number, we first compute the division:

  1. Divide \( 11 \) by \( -4 \):

    • \( 11 \div 4 = 2 \) remainder \( 3 \).
  2. Therefore, \( 11 = 4 \times 2 + 3 \).

  3. As a fraction, this can be expressed as: \[ \frac{11}{-4} = -\left(2 \frac{3}{4}\right) = -2 \frac{3}{4} \]

So, the answer in mixed number form is: \[ -2 \frac{3}{4} \]