Question

Select two ratlos that are equivalent to 27 : 9.

Answer 1

There are two answers

choice A  3:1

choice B  9:3

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Explanation:

Note how 27 and 9 have a common factor of 3.

Divide each part by this common factor

27/3 = 9

9/3 = 3

So 27:9 is equivalent to 9:3

Choice B is one of the answers

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Another common factor of 27 and 9 is 9. This is the greatest common factor (GCF). Divide both parts by the GCF

27/9 = 3

9/9 = 1

The ratio 27:9 is equivalent to 3:1

Choice A is one of the answers

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Another way to see why choice A and choice B are the answers is to divide the two parts of the original ratio from left to right

27/9 = 3

Then for choice A's ratio of 3:1, we do the same to get 3/1 = 3

and choice B as well to get 9/3 = 3

Each time we divide the parts of teh ratio from left to right, we end up with 3 as a result.

Something like choice C doesn't work because 6/3 = 2 and choice D is 9/6 = 1.5 and choice E is 12/3 = 4, showing all different results from 3.

Answer 2

Answer:A and B

Step-by-step explanation: