Are the ratios 3 to 2 and 5 to 3 equivalent?

Answer 1

Oh, what a happy little question! Let's take a moment to appreciate these ratios. To see if they are equivalent, we can simplify them. When we simplify 3:2, we get 1.5, and when we simplify 5:3, we get approximately 1.67. Since these values are not the same, the ratios 3:2 and 5:3 are not equivalent, but they each have their own unique beauty.

Answer 2

You can check this by getting common numerators or denominators for the two fractions.

Common numerators:

The numerators are 3 and 5. These can be multiplied together to get 15, the new numerator.

To get the numerator to equal 15, 3/2 is multiplied by 5/5 to become 15/10.

To get the numerator to equal 15, 5/3 is multiplied by 3/3 to become 15/9.

15/9 does not equal 15/10.

Common denominators:

The denominators are 2 and 3. These can be multiplied together to get 6, the new denominator.

To get the denominator to equal 6, 3/2 is multiplied by 3/3 to become 9/6.

To get the denominator to equal 6, 5/3 is multiplied by 2/2 to become 10/6.

9/6 doesn't equal 10/6.

Both methods show that 3/2 does not equal 5/3.

Answer 3

No, they are not.