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m is a certain fraction. When m is multiplied by its own denominator,

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m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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29 Sep 2016, 03:46
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Difficulty:

15% (low)

Question Stats:

80% (00:54) correct 20% (01:15) wrong based on 124 sessions

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m is a certain fraction. When m is multiplied by its own denominator, the result is 16. What is the value of m's numerator?

A. 1/16
B. 1/4
C. 4
D. 16
E. The information given is insufficient to determine the value of the numerator.

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m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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Updated on: 29 Sep 2016, 08:13
2
D

If the result has to be 16 then numerator has to be 16.
The question say 'm' is a fraction. Say m=a/b
when m is multiplied by its denominator the result is 16. So (a/b)*b=a
So the multiplication actually gives you the numerator.
The fraction may be 16/100, 16/10 or 16/1. As long as the denominator is multiplied with the fraction, it always leaves you with the value of numerator.

Originally posted by Vinayak Shenoy on 29 Sep 2016, 03:59.
Last edited by Vinayak Shenoy on 29 Sep 2016, 08:13, edited 1 time in total.
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Re: m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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29 Sep 2016, 04:13
1
Bunuel wrote:
m is a certain fraction. When m is multiplied by its own denominator, the result is 16. What is the value of m's numerator?

A. 1/16
B. 1/4
C. 4
D. 16
E. The information given is insufficient to determine the value of the numerator.

Let m = x/y

Now m is multiplied by y

then m = x/y (y) => x

and given x = 16 and x is a numerator.

IMO option D.
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Re: m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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29 Sep 2016, 08:03
Bunuel wrote:
m is a certain fraction. When m is multiplied by its own denominator, the result is 16. What is the value of m's numerator?

A. 1/16
B. 1/4
C. 4
D. 16
E. The information given is insufficient to determine the value of the numerator.

the question says $$m=\frac{x}{d}$$ and say also that $$\frac{x}{d}*d=16$$

====> x=16

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Re: m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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27 Feb 2017, 03:50
Let m = a/b, where a and b are integers. According to question b*a/b =16 or a =16. Hence the numerator is 16. Option D
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Re: m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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27 Feb 2017, 10:25
Let the fraction be $$\frac{x}{y}$$

The numerator of the fraction is x and the denominator is y.

It is given that when the fraction is multiplied by the denominator, the result is 16.

So $$\frac{x}{y}*y=16$$ => x=16

Thus, the numerator is 16.

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Re: m is a certain fraction. When m is multiplied by its own denominator,  [#permalink]

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01 Mar 2017, 17:15
1
Bunuel wrote:
m is a certain fraction. When m is multiplied by its own denominator, the result is 16. What is the value of m's numerator?

A. 1/16
B. 1/4
C. 4
D. 16
E. The information given is insufficient to determine the value of the numerator.

We can let m = x/y, in which x is m’s numerator and y is m’s denominator. We need to find the value of x. Since when m is multiplied by its own denominator the result is 16, we have:

my = 16

(x/y) * y = 16

x = 16

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Re: m is a certain fraction. When m is multiplied by its own denominator, &nbs [#permalink] 01 Mar 2017, 17:15
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