No David. First of all, you multiply and not divide. a 24 mm lens on the BMCC would be equivalent to a 55 mm lens on a full frame camera (24 x 2.27).
Second, for your purposes ignore the intended sensor size (APC-S or full frame). Just multiply by 2.27 for comparison. So the 16 mm on the BMCC is like at 36 mm lens full frame. So when using the BMCC, don’t worry whether the lens is intended for full frame or APC-S, as long as it has a EF mount and use the same factor (2.26) to evaluate it. I am assuming that your reference point is full frame like most of us who come from still photography. Eventually, you will have a sense of the look of all these lenses on the BMCC and won’t have to make this mental exercise. Think of the 22 mm lens as the normal lens for the BMCC and go from there.
I hope my reasoning is correct and maybe others can verify.