Are the following fractions equivalent? justify your answer

18/24 9/12 15/20 6/9

2 answers

Three of the fractions = 3/4

One does not.
18=2*3*3
24=2*2*2*3
18/24=(2*3*3)/(2*2*2*3)=3/(2*2)=3/4

9=3*3
12=2*2*3
9/12=(3*3)/(2*2*3)=3/(2*2)=3/4

15=3*5
20=2*2*5
15/20=(3*5)/(2*2*5)=3/(2*2)=3/4

6=2*3
9=3*3
6/9=(2*3)/(3*3)=2/3