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If m + n is an integer, then the reciprocal of m + n could equal all o

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Carcass
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If m + n is an integer, then the reciprocal of m + n could equal all o [#permalink] New post   03 Nov 2021, 07:20
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If m + n is an integer, then the reciprocal of m + n could equal all of the following EXCEPT

A) –1
B) any fraction between –1 and 0
C) 0
D) any fraction between 0 and 1
E) 1
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C
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Re: If m + n is an integer, then the reciprocal of m + n could equal all o [#permalink] New post   03 Nov 2021, 08:48
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Carcass wrote:
If m + n is an integer, then the reciprocal of m + n could equal all of the following EXCEPT

A) –1
B) any fraction between –1 and 0
C) 0
D) any fraction between 0 and 1
E) 1


Key property: If \(\frac{a}{b} = 0\), then \(a\) must equal zero


Given: \(m + n\) is an integer
So, \(\frac{1}{m + n}\) is the reciprocal of \(m+n\)


In order for \(\frac{1}{m + n}\) to equal zero, the numerator must be zero.
Since the numerator of \(\frac{1}{m + n}\) is already 1, we know that \(\frac{1}{m + n}\) can never equal 0

Answer: C
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Re: If m + n is an integer, then the reciprocal of m + n could equal all o [#permalink] New post   10 Aug 2024, 11:26
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If m + n is an integer, then the reciprocal of m + n could equal all o [#permalink]
10 Aug 2024, 11:26
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