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

Answer:

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

Step-by-step explanation:

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

First we will write them in the form of fraction:

$\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}$

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

$\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}$

$\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}$

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

It is clear that:

$\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}$