Are the ratios 18:9 and 4:3 equivalent?

No. (see below)

Step-by-step explanation:

If you match up the ratios like this:

18 : 9

4 : 3

Matching the two numbers (one on top of another, since they correspond to each other), you can see that these are not equivalent.

Here's why:

The top ratio is 18 to 9, which can be represented by 18 total people to 9 girls in the amount of total people.

We know that the number of boys will also be 9 because 9 is half of 18.

Let's look at the second ratio:

This can be represented by 4 total people to 3 girls in the amount of total people.

4 - 3 = 1

So there would be only 1 boy. Meaning that they're not equal because 1 is not half of 4. It would only be 1/4.

1/4 ≠ 1/2

If we make them similar denominators, you can really see it:

1/4 ≠ 2/4

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step-by-step explanation: