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

First, let's simplify the expression inside the parentheses:
30 / 27 - 1/3 = 1 - 1/3 = 2/3

Now, we have: (2/3) * 2

Multiplying these gives us: (2/3) * 2 = 4/3

Now, we need to multiply 4/3 by 2:
(4/3) * 2 = 8/3

Finally, we need to add 3/11 to 35:
8/3 + 3/11 + 35

To add these fractions, we first need to find a common denominator, which is 33 in this case:

(8/3) (11/11) = 88/33
(3/11) (3/3) = 9/33

Now, we can add the fractions:
88/33 + 9/33 = 97/33

Now, add this to 35:
97/33 + 35 = (97 + 1155) / 33 = 1252 / 33

Therefore, the final answer is 1252 / 33.