Question

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?

Answer 1

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.