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If the numerator of a certain fraction is a quarter of the

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If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Apr 2014, 12:40, edited 1 time in total.
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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 28 Apr 2014, 12:43
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gregfromnancy wrote:
If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg


The numerator of a certain fraction is a quarter of the value of the whole fraction: \(x=\frac{1}{4}*\frac{x}{y}\) --> reduce by x: \(1=\frac{1}{4y}\) --> \(y=\frac{1}{4}\).

Answer: A.
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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 28 Apr 2014, 22:07
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gregfromnancy wrote:
If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg



You can also do it assuming some numbers.
Say the numerator is 1. Then the whole fraction should be 4 (since numerator is a quarter of the fraction). So 1 should be divided by (1/4) to get 4. Hence denominator should be 1/4 = 0.25
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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 02 Nov 2014, 06:56
What about if the numerator is 0?

Actually I solved using N = N/4D
=> 4DN = N (Assuming D is not equal to 0 as otherwise the number will not exist)
=> N(4D-1) = 0
Now N can be equal to 0 and 0 can be argued as 0/1 as a fraction. And I chose E)
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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 02 Nov 2014, 08:16
Bunuel wrote:
gregfromnancy wrote:
If the numerator of a certain fraction is a quarter of the value of the whole fraction, what is the value of the denominator of that fraction?

A. 0.25
B. 0.5
C. 4
D. 16
E. The information given is insufficient to determine the denominator.

[Reveal] Spoiler:
I can't get a hand on this one.
if i say X/Y is my fraction, then X = 1/4*X/Y = X/(4Y)

so the value of the denominator to the fractions is: 4Y/(X/4Y) = (4Y)^2 / X

so E is correct for me but i am not sure.

How do you deal with this question pls?

Thanks.
Greg


The numerator of a certain fraction is a quarter of the value of the whole fraction: \(x=\frac{1}{4}*\frac{x}{y}\) --> reduce by x: \(1=\frac{1}{4y}\) --> \(y=\frac{1}{4}\).

Answer: A.


Are we not assuming x to be non zero when we reduce x from equation. I chose E since it is not given that numerator is non zero.
Bunuel please confirm.

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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 05 Aug 2017, 18:50
Let, the denomination of the fraction is \(d\) and the value of the whole fraction is \(x\). So, the equation becomes,

\(\frac{\frac{x}{4}}{d}=x
=> \frac{x}{4}=dx
=> \frac{1}{4}=d
=> d=0.25\)
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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 06 Aug 2017, 00:29
Correct me if I am wrong.
The first part of the question is saying the numerator is 1/4 of the whole fraction, i get that
but it is asking the value of the denominator.
Why is the value of the denominator is 1/4? it does not make sense to me

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New post 06 Aug 2017, 01:54
just simply plug what the question says-
per question numerator = 1/4 (numerator/denominator)
This gives us 4* denominator =1 => denominator is 0.25. Hence A.

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Re: If the numerator of a certain fraction is a quarter of the [#permalink]

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New post 07 Aug 2017, 04:15
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pclawong wrote:
Correct me if I am wrong.
The first part of the question is saying the numerator is 1/4 of the whole fraction, i get that
but it is asking the value of the denominator.
Why is the value of the denominator is 1/4? it does not make sense to me


N = (1/4)*(N/D)

N gets cancelled off and you get D = 1/4.

No matter what N is, whenever D is 1/4, the value of N will be a quarter of the whole fraction.

Say N = 2,
N/D = 2/(1/4) = 8
N is a quarter of the whole fraction.

Say N = 3,
N/D = 3/(1/4) = 12
N is a quarter of the whole fraction.

Since 4 of the denominator's denominator will multiply the fraction by 4, no matter what the numerator is, it will always be a quarter of the fraction.
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Re: If the numerator of a certain fraction is a quarter of the   [#permalink] 07 Aug 2017, 04:15
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