To simplify the given expression, follow the order of operations:

Calculate the values inside the parentheses:
20/34 = 10/17
7/68 = 1/8
3/17 = 3/17

Substitute the calculated values back into the expression:
17 * (10/17 - 1/8 + 3/17) ÷ 5

Further simplify:
10/17 - 1/8 + 3/17 = (80/136 - 17/136 + 24/136) = 87/136

Substitute the simplified value back into the expression:
17 * (87/136) ÷ 5

Multiply 17 by 87/136:
(17 * 87)/136 = 1479/136

Divide the result by 5:
(1479/136) ÷ 5 = 1479/680

Therefore, 17 * ( 20/34 - 7/68 + 3/17 ) ÷ 5 simplifies to 1479/680.