[tex]\frac{1}{3} +(10,66:2\frac{3}{5}+1\frac{1}{5}-0,3):3

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To solve this problem, we need to follow the order of operations - Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, let's simplify the expression inside the parentheses:

$10.66 : (2\frac{3}{5} + 1\frac{1}{5} - 0.3)$

Convert the mixed fractions to improper fractions:

$2\frac{3}{5} = \frac{13}{5}$

$1\frac{1}{5} = \frac{6}{5}$

Substitute these values back into the expression:

$10.66 : (\frac{13}{5} + \frac{6}{5} - 0.3)$

$10.66 : (\frac{19}{5} - 0.3)$

$10.66 : (\frac{19}{5} - \frac{3}{10})$

$10.66 : (\frac{191}{50} - \frac{15}{50})$

$10.66 : \frac{176}{50}$

$10.66 : 3.52$

Now substitute this back into the original expression:

$\frac{1}{3} + 3.028$

Now, add the two values:

$\frac{1}{3} + 3.028 = \frac{1}{3} + \frac{9024}{2970} = \frac{9024+8910}{2970} = \frac{17934}{2970} = 6$

Therefore, the final answer is 6.