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Re: Least common denominator [#permalink]
07 Sep 2010, 12:41

Expert's post

metallicafan wrote:

In the fraction x/y , where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3is 6. (2) x = 1

In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6 (the least common denominator of \frac{x}{2} and \frac{1}{3} is 6 and the least common denominator of \frac{x}{6} and \frac{1}{3} is also 6). Not sufficient.

QR DS 119. The fraction [#permalink]
23 Feb 2011, 20:10

In the fraction x/y, where x and y are positive integers, what is the value of y? (1) The least common denominator of x/y and 1/3 is 6 (2) x=1
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Re: Least common denominator [#permalink]
20 Sep 2012, 06:10

Bunuel wrote:

metallicafan wrote:

In the fraction x/y , where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3is 6. (2) x = 1

In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6 (the least common denominator of \frac{x}{2} and \frac{1}{3} is 6 and the least common denominator of \frac{x}{6} and \frac{1}{3} is also 6). Not sufficient.

(2) x=1 --> no info about y. Not sufficient.

(1)+(2) y still can be 2 or 6. Not sufficient.

Answer: E.

Hi Bunuel,

This time i am not able to understand the explanation given by you. Assuming x=1 & y can be either 2 or 6, I want to know how come the LCM of (1/2 , 1/3) & (1/6, 1/3) can be 6. As per me the LCM has to be 1 & 1/3 respectively.

Kindly enlighten me. Waiting for reply
_________________

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Re: Least common denominator [#permalink]
20 Sep 2012, 06:47

Expert's post

fameatop wrote:

Bunuel wrote:

metallicafan wrote:

In the fraction x/y , where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3is 6. (2) x = 1

In the fraction x/y, where x and y are positive integers, what is the value of y?

(1) The least common denominator of x/y and 1/3 is 6 --> LCM of y and 3 is is 6 --> y=2 or y=6 (the least common denominator of \frac{x}{2} and \frac{1}{3} is 6 and the least common denominator of \frac{x}{6} and \frac{1}{3} is also 6). Not sufficient.

(2) x=1 --> no info about y. Not sufficient.

(1)+(2) y still can be 2 or 6. Not sufficient.

Answer: E.

Hi Bunuel,

This time i am not able to understand the explanation given by you. Assuming x=1 & y can be either 2 or 6, I want to know how come the LCM of (1/2 , 1/3) & (1/6, 1/3) can be 6. As per me the LCM has to be 1 & 1/3 respectively.

Kindly enlighten me. Waiting for reply

We are told that "The least common denominator of x/y and 1/3 is 6" not LCM of 1/2 and 1/3.
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Re: Least common denominator [#permalink]
20 Sep 2012, 07:38

Hi Bunuel, Ok, Forget the question. Can you tell me what is the LCM of (1/2 , 1/3) & (1/6, 1/3) or how to calculate the LCM of two fractions.
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Re: Least common denominator [#permalink]
20 Sep 2012, 07:43

Expert's post

fameatop wrote:

Hi Bunuel, Ok, Forget the question. Can you tell me what is the LCM of (1/2 , 1/3) & (1/6, 1/3) or how to calculate the LCM of two fractions.

The least common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
_________________