To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's simplify the expression within each set of parentheses:

35 + 1/6 = 210/6 + 1/6 = 211/6

-4/5 - 45 = -4/5 - 225/5 = -229/5

Now, let's simplify the expression outside the parentheses:

211/6 : -229/5 = 211/6 * -5/229 = -1055/1374

Therefore, the expression simplifies to -1055/1374.