To simplify this expression, we need to first convert all the mixed numbers to improper fractions.

For the first mixed number, 3 22/2 -> (3 * 2 + 22)/2 = 28/2 = 14

So, the expression becomes:

14/1 14/15 - (13/8 + 17/8 11/17) * 3/7

Now, simplify the expression within the parentheses:

13/8 + (17/8 * 11/17) = 13/8 + 187/136 = 221/136

Substitute this back into the main expression:

14/1 14/15 - 221/136 3/7

Now multiply the fractions:

14/1 * 14/15 = 196/15

Now simplify the expression:

196/15 - 221/136 * 3/7

Now multiply the fractions:

221/136 * 3/7 = 663/952

Now subtract the fractions:

196/15 - 663/952

To subtract the fractions, we need to find a common denominator which is the LCM of 15 and 952, which is 952

(196 952) / (15 952) - 663/952
= 186992/14280 - 663/952

Now subtract the fractions:

(186992 - 9490) / 14280 - 663/952
= 177502 / 14280 - 663/952

So, the simplified expression is:

177502 / 14280 - 663 / 952