What is 30% of 19/3 plus the halved 3 point 5/6?

It is more convenient to follow the steps:

1) (3 5/6): 2; we represent the fraction as incorrect for the convenience of further calculations, we take into account what is divided by 2 – it does not matter what is multiplied by 1/2, we get:

23/6 * 1/2 = 23/12 = 1 11/12.

2) For summation, it is more convenient to represent fractions in the form of incorrect ones:

23/12 + 19/3; we represent everything with a denominator of 12:

23/12 + 76/12 = 99/12.

3) It remains to take 30% of the result, for this it must be divided by 100 and multiplied by 30, or immediately multiplied by 0.3:

99/12 * 3/10 = 99/40 = 2 19/40.