6 5/11 - 4 9/11

To subtract the mixed numbers \( 6 \frac{5}{11} \) and \( 4 \frac{9}{11} \), follow these steps:

1. Convert the mixed numbers to improper fractions:

   • \( 6 \frac{5}{11} = \frac{6 \times 11 + 5}{11} = \frac{66 + 5}{11} = \frac{71}{11} \)
   • \( 4 \frac{9}{11} = \frac{4 \times 11 + 9}{11} = \frac{44 + 9}{11} = \frac{53}{11} \)

2. Subtract the improper fractions:

   • \( \frac{71}{11} - \frac{53}{11} = \frac{71 - 53}{11} = \frac{18}{11} \)

3. Convert the result back to a mixed number:

   • \( \frac{18}{11} = 1 \frac{7}{11} \) (since 18 divided by 11 equals 1 with a remainder of 7).

So, the result of \( 6 \frac{5}{11} - 4 \frac{9}{11} \) is \( 1 \frac{7}{11} \).