43 2/3 : 26.2 + (846 - 10 2/3)

First, we need to convert all mixed numbers to improper fractions:

43 2/3 = (3*43 + 2)/3 = 131/3

10 2/3 = (3*10 + 2)/3 = 32/3

Now we can substitute the values into the equation:

131/3 : 26.2 + (846 - 32/3)

131/3 : 26.2 + (2538/3 - 32/3)

131/3 : 26.2 + (2506/3)

131/3 : 26.2 + 835.33

131/3 : 861.53

Now, we need to divide 131/3 by 861.53:

(131/3) ÷ 861.53 = 0.152

Therefore, the final result is approximately 0.152.