Question

−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:
\[
-6 \frac{9}{11}
\]