17/12 : 3 2/5 - 2/5 * (2 - 1 1/12)

1. Convert mixed numbers to improper fractions: 3 2/5 = 17/5, 1 1/12 = 13/12.
2. Simplify the expression inside the parentheses: 2 - 13/12 = 24/12 - 13/12 = 11/12.
3. Perform the division: 17/12 : 17/5 = 17/12 * 5/17 = 5/12.
4. Perform the multiplication: 2/5 * 11/12 = 22/60 = 11/30.
5. Perform the subtraction: 5/12 - 11/30 = 25/60 - 22/60 = 3/60 = 1/20.