What is −4 5/11 − 2 4/11

?(1 point)

1 answer

To subtract \(-4 \frac{5}{11}\) and \(2 \frac{4}{11}\), we can follow these steps:

  1. Convert both mixed numbers to improper fractions.

    For \(-4 \frac{5}{11}\): \[ -4 \frac{5}{11} = -\left(4 \times 11 + 5\right)/11 = -\left(44 + 5\right)/11 = -\frac{49}{11} \]

    For \(2 \frac{4}{11}\): \[ 2 \frac{4}{11} = (2 \times 11 + 4)/11 = (22 + 4)/11 = \frac{26}{11} \]

  2. Now subtract the second improper fraction from the first: \[ -\frac{49}{11} - \frac{26}{11} \]

    Combine the fractions: \[ -\frac{49 + 26}{11} = -\frac{75}{11} \]

  3. Convert \(-\frac{75}{11}\) back to a mixed number: \(-75 ÷ 11 = -6\) remainder \(9\), so we have: \[ -\frac{75}{11} = -6 \frac{9}{11} \]

Thus, the result of \(-4 \frac{5}{11} - 2 \frac{4}{11}\) is: \[ -6 \frac{9}{11} \]