−4 5/11 − 2 4/11

Answer 1

To solve the subtraction problem \(-4 \frac{5}{11} - 2 \frac{4}{11}\), we can follow these steps:

1. Convert the mixed numbers to improper fractions:

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

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

2. Rewrite the subtraction: \[ -\frac{49}{11} - \frac{26}{11} \]

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

4. Convert back to a mixed number: Divide \(75\) by \(11\): \[ 75 \div 11 = 6 \quad \text{remainder } 9 \] So, \(-\frac{75}{11} = -6 \frac{9}{11}\).

Thus, the final answer is: \[ -6 \frac{9}{11} \]