Im really confused can somebody explain this?

Given:

The given ratio is

We need to determine three ratios that are equivalent to the given ratio.

Option A:

The given ratio is

Let us divide the given ratio by 2.

Thus, we have;

Hence, the expression is equivalent to

Thus, Option A is the correct answer.

Option B:

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio by 2, we get;

Thus, the expression is equivalent to

Hence, Option B is the correct answer.

Option C:

Let us divide the given ratio by 4.

Thus, we have;

Thus, the expression is equivalent to

Hence, Option C is the correct answer.

Option D:

The number 12 goes by 16 in times and the number 8 goes by 12 in times.

The ratios are multiplied by different numbers.

Thus, the expression is not equivalent to

Hence, Option D is not the correct answer.

Option E:

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression is not equivalent to

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C