Respuesta :

Answer:   Choice B)  15/20

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Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

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Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

  • 9/12 = 0.75
  • 15/20 = 0.75

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.