What is the difference of these mixed numbers? \[ 8 \frac{6}{8}-5 \frac{4}{8} \] A. $3 \frac{1}{4}$ B. $4 \frac{1}{4}$ C. $3 \frac{1}{8}$

Step 1 ：Convert each mixed number to an improper fraction. The first mixed number, \(8 \frac{6}{8}\), becomes \(\frac{70}{8}\) and the second mixed number, \(5 \frac{4}{8}\), becomes \(\frac{44}{8}\).

Step 2 ：Subtract the second fraction from the first. This gives us \(\frac{70}{8} - \frac{44}{8} = \frac{26}{8}\).

Step 3 ：Convert the result back to a mixed number. This gives us \(3 \frac{2}{8}\).

Step 4 ：Simplify the fraction part of the mixed number. This gives us \(3 \frac{1}{4}\).

Step 5 ：Final Answer: The difference of the two mixed numbers is \(\boxed{3 \frac{1}{4}}\).