1. Convert mixed numbers and decimals to fractions: (-10/3 * 19/10 + 39/2 : 13/3) : (16/100 - 62/75)
2. Perform multiplication and division: (-19/3 + 39/2 * 3/13) : (4/25 - 62/75) = (-19/3 + 9/2) : (12/75 - 62/75)
3. Perform addition and subtraction: ((-38+27)/6) : (-50/75) = (-11/6) : (-2/3)
4. Perform division: -11/6 * -3/2 = 33/12 = 11/4
11/4