Answer: Choice B) 1/8 and 1/4 are not equivalent
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Explanation:
There are two ways to check to see if two fractions are equal.
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Method 1) Cross multiplication
3/6 = 2/4
3*4 = 6*2
12 = 12
The last equation is true, so the first equation is true. This shows 3/6 and 2/4 are the same fraction
1/8 = 1/4
1*4 = 8*1
4 = 8
The last equation is false, so 1/8 = 1/4 is false. We found our answer.
1/3 = 2/6
1*6 = 3*2
6 = 6
This equation is true. So we can move on
1/4 = 3/12
1*12 = 4*3
12 = 12
A similar story happens with A and C.
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Method 2) Comparing decimal forms
Using a calculator, we can find the decimal form of any fraction
3/6 = 0.5 and 2/4 = 0.5; since we get the same decimal value both times, this means 3/6 = 2/4 is a true statement. Choice A is ruled out.
1/8 = 0.125 and 1/4 = 0.25; we get different decimal values, so we can see that choice B is the answer
1/3 = 0.333.... (the 3s go on forever) and 2/6 = 0.333... we have the same story as choice A, so we can rule out choice C.
1/4 = 0.25 and 3/12 = 0.25, same story as A and C. We can rule out choice D.
