Michael, kelly, and ryan were each filling a water balloon. michael fills 2/3 gallons of water in 1/2 of a minute, kelly fills 1/2 gallon in 1/3 of a minute, and ryan fills 1/4 gallon in 1/5 minutes. who fills their water balloon the quickest?

Convert the ratio into seconds/minutes

2/3=30/60; 1/2=20/60; 1/4=12/60

Multiply the denominator to make 1

4/3=60/60; 3/2=60/60; 5/4=60/60

Now that we have simplified, we find a common factor of the fractions

4 * (4/3) = 16/12 6 * (3/2) = 18/12 3 * (5/4) = 15/12

16/12 is the greatest fraction of the three, therefore we can conclude that Michael's water balloon will fill up the quickest.