Use the given tables to compare the ratios 3:5 and 2:3 . 3 5 6 10 9 15 12 20 15 25 2 3 4 6 6 9 8 12 10 15 (1 point) Responses 3:5 = 2:3 ratio of 3 to 5 is equal to ratio of 2 to 3 More rows need to be added to the tables to be able to compare the ratios. More rows need to be added to the tables to be able to compare the ratios. 3:5 < 2:3 ratio of 3 to 5 is less than ratio of 2 to 3 3:5 > 2:3

1 answer

To compare the ratios 3:5 and 2:3, we can create two equivalent ratios by multiplying both terms of each ratio by the same number.

For the first ratio, we can multiply both terms by 2 to get 6:10.
For the second ratio, we can multiply both terms by 5 to get 10:15.

Now, we can compare the two new ratios. 6:10 and 10:15 are equivalent ratios, but we can simplify them further by dividing both terms by their greatest common factor, which is 2.

6÷2 : 10÷2
= 3:5

10÷5 : 15÷5
= 2:3

Therefore, the ratios 3:5 and 2:3 are equal.