The math lines up, but the method does not. You should never open vials like that. Once the seal is broken the contents are open to air contamination, and that matters more than wearing gloves.
First time doing this. When I drew the BAC water the syringe only got about 2.6 ml even after I opened the whole vial to try and get the rest. I added that to the 60 mg of Reta. Starting at 2 mg a week the calculators say my dose should be 9 units. Does the math check out? Also, how often do BAC vials come underfilled?