To solve this problem, we first need to convert all the fractions to have the same denominator. The smallest common denominator for 17 and 24 is 408.

4 6/17 = (4 17 + 6) / 17 = 74 / 17
3 11/24 = (3 24 + 11) / 24 = 83 / 24

Now we can rewrite the expression:

74 / 17 - (83 / 24 + 6 / 17)

Now we convert the fractions to have a denominator of 408:

74 24 / (17 24) - (83 17 / (24 17) + 6 24 / (17 24))
= 1776 / 408 - (1411 / 408 + 144 / 408)
= 1776 / 408 - 1555 / 408 - 144 / 408
= 221 / 408

Therefore, 4 6/17 - (3 11/24 + 6/17) = 221 / 408.