Vinny is serving punch to guests at a party. he has 2/3 of a gallon of punch, and he pours 3/64 of a gallon into each guest's cup, filling each to the top. at the most, how many guests' cups can he fill to the top?

Divide 2/3 by 3/64 and you will get the number of cups of punch. It doesn't come out evenly, but that's the way to do this.there is a total of 2/3 gallon of punch. Each guests has a cup of 3/64 gallon of punch. Now many 3/64 gallon of punch can you fit in 2/3 gallon of punch, that will tell you how many guests there are. so naturally we want to divide ( 2/3 ) / ( 3/64).