11 3/14 - (2 2/7 + 4 5/7)

First, find the sum inside the parentheses:
2 2/7 + 4 5/7 = 6 7/7 = 6

Now, subtract this sum from 11 3/14:
11 3/14 - 6 = 5 3/14

Therefore, the result is 5 3/14.