I'm going to suggest that we take these and "UN-simplify" them.

For each choice, divide the numerator by 3 and the denominator by 8.

Look at this:

A). 6/14

6 ÷ 3 = 2
14 ÷ 8 = 1.875 ===> 2/1.875 not interesting

B). skip B for just a second

C). 4/9

   4 ÷ 3 = 1.33
   9 ÷ 8 = 1.125 ===> 1.33/1.125    not interesting

D). 15/35

   15 ÷ 3 = 5
   35 ÷ 8 = 4.375    ===> 5/4.375 not interesting

But now look at choice-B:

B). 9/24

   9 ÷ 3 = 3
   24 ÷ 8 = 3 ===> 1/1 interesting !

-- To simplify 9/24, the top and bottom were divided by 3, giving 3/8.

-- To UN-simplify 3/8, the top and bottom were multiplied by 3, giving 9/24.

-- Choice-B is the one that's equivalent to 3/8.
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OK. All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.

A). 6/14
   Divide top and bottom by 2 ===> 3/7

B). 9/24
   Divide top and bottom by 3 ===> 3/8

C). 4/9
   Can't be simplified. Already in simplest form.

D). 15/35
   Divide top and bottom by 5 ===> 3/7

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4 years ago