Let's break this down step by step:

First, we will simplify the expression within the parentheses:
(7/18 + 2/27) = (73 + 22) / (18*3) = (21 + 4) / 54 = 25 / 54

Next, simplify the overall expression:
1/6 + (25/54)/5/9 + 3/11 * 2, 1/5

Simplify (25/54)/5/9:
(25/54) / (5/9) = (25/54) * (9/5) = 225 / 270 = 15 / 18 = 5 / 6

Now, the expression becomes:
1/6 + 5/6 + 3/11 * 2, 1/5

Simplify:
1/6 + 5/6 = 6/6 = 1
1 + 3/11 * 2, 1/5

Now, simplify 3/11 2:
(3/11) 2 = 6/11

The final expression is:
1 + 6/11 = 11/11 + 6/11 = 17/11

So, the final answer is 17/11 or approximately 1.54.