Question

Suppose 52 people took the final exam in a math class. If 13 people got an A on the final exam, what fraction of the students did not get an A on the exam

Answer 1

Answer: 39/52

Explanation:

13/52 is the people who passed

so we do 52-13 = 39

39/52

Answer 2

3/4

Explanation:

You want to know the fraction of people who did not get an A if 13 out of 52 did get an A.

Not A

The number not getting an A is (52 -13) = 39. That fraction of 52 is ...

`(39)/(52)=(3\cdot13)/(4\cdot13)=\boxed{(3)/(4)}`

3/4 of the students did not get an A.

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Additional comment

The fraction getting an A is 13/52 = 1/4. The fraction not getting an A is the complement of this: 1 -1/4 = 3/4.

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