1 5\9:(2 1\12*0,4+1\3)

First, we need to simplify the expression within the parentheses by performing the operations inside it.

2 1\12 0,4 = 2 + 1/12 0.4 = 2 + 0.03333 = 2.03333

Next, we add 2.03333 to 1/3:

2.03333 + 1\3 = 2.03333 + 0.33333 = 2.36666

Now, substitute this value back into the original expression:

1 5\9 : 2.36666

To divide a mixed number by a decimal, we must first convert both to improper fractions:

1 5\9 = 14/9
2.36666 ≈ 2 4/15 = 44/15

Now the expression becomes:

14/9 : 44/15

To divide fractions, you multiply by the reciprocal:

14/9 * 15/44 = 210/396 = 35/66

Therefore, the original expression simplifies to 35/66 or approximately 0.5303.