Question

Macy was asked to compare the two ratios 4:5 and 19 to 30.

Answer 1

The correct answer is C, 4:5 would be equivalent to 24/30, because 30 divided by 5 is equal to 6, so you would multiply the numerator and denominator by the same number.

Answer 2

Macy did not find the correct equivalent fraction with denominator 30.

Explanation:

We need to compare two ratios 4:5 and 19:30.

First we will write them in the form of fraction:

`\displaystyle(4)/(5) \text{ and } \displaystyle(19)/(30)`

Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.

`\displaystyle(4* 6)/(5* 6) \text{ and } \displaystyle(19)/(30)`

`\displaystyle(24)/(30) \text{ and } \displaystyle(19)/(30)`

Now, we have to compare the two fractions on the basis of their numerators.

It is clear that:

`\displaystyle(24)/(30) > \displaystyle(19)/(30)`