To simplify this expression, we can follow the order of operations:

First, let's find the sum inside the parentheses:

(12 2/15 + 1/10 + 1/5) = (182/15 + 3/30 + 6/30) = (182/15 + 9/30) = (364/30 + 9/30) = 373/30

Next, let's perform the division:

(373/30 ÷ 1/15) = (373/30 x 15/1) = 5595/30

Then, let's perform the subtraction:

(5595/30 - 6 ÷ 1/18) = (5595/30 - 108/30) = 5487/30

Finally, let's multiply by 4/11:

(5487/30 x 4/11) = 21948/330 = 73/11

Therefore, the simplified expression is 73/11.