Well, part of the problem is keeping it simple. The unbelieveably enormous headache with fractions in roleplaying games is whether you round up or round down. Funnily enough, most players believe that you should always round up but most DMs believe that you should round down. The player wants to squeeze every last drop of power out of a build, the DM wants to limit power creep and rules hacking as much as possible. You can't count the fraction (eg, BAB +14 1/3) because if you do that you might as well round up anyway.
Ok, so lets say you manage to come to a compromise and round off to the nearest whole number. What do you do when you have a 1/2 BAB? You're back to where you started because even mathematics doesn't have a hard or fast rule for that.
Sticking to the listed scores avoids a whole heap of arguing and wasted time. And 4E's taken the whole argument and binned it, for which I am eternally grateful.