Answer :

36:8, 9:2, and 72: 16 would all be equivalent.

In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor.

For instance, when we use a factor of two and multiply it by each term, we get 36:8 because 18*2=36 and 4*2 = 8.

The second and third options above are for when the numbers are multiplied by 1/2 and 4 respectively.

For this case we have the following ratio:

[tex] \frac{18}{4} [/tex]

What we must do is write three equivalent ratios.

For this, we must rewrite the fraction.

We have then:

Way 1:

Divide numerator and denominator between two:

[tex] \frac{\frac{18}{2}}{\frac{4}{2}} = \frac{9}{2} [/tex]

Way 2:

Multiply numerator and denominator by two:

[tex] \frac{18}{4} \frac{2}{2} =\frac{36}{8} [/tex]

Way 3:

Multiply numerator and denominator by four:

[tex] \frac{18}{4}\frac{4}{4} =\frac{72}{16} [/tex]