1. Simplify the first parenthesis: 2 + 12/17 = 34/17 + 12/17 = 46/17.
2. Simplify the second parenthesis: 3 + 4/5 + 1 + 3/5 = 4 + 7/5 = 4 + 1.4 = 5.4 or 4 + 7/5 = 20/5 + 7/5 = 27/5.
3. Perform the division and subtraction: 10 / (46/17) - (27/5) / 6 = 10 * (17/46) - 27/30 = 170/46 - 9/10 = 85/23 - 9/10 = (850 - 207) / 230 = 643/230.