Question

Vinny is serving punch to guests at a party. He has $\frac{2}{3}$ of a gallon of punch, and he pours $\frac{3}{64}$ 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?

Answer 1

@supie hellppp this guy

Answer 2

divide (total volume of punch) / (amount per cup) to get the total # of cups

plugging the numbers in:

(2/3) / (3/64)

when you're dividing fractions, flip second fraction's numerator and denominator, then change the division operation to multiplication. from there, multiply like you would any other fractions.

important: since it's asking for the # of glasses that can be filled, round down to the nearest integer if you get a non-integer solution