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#### In the fraction x/y, where x and y are positive integers, wh

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 Post subject: In the fraction x/y, where x and y are positive integers, wh  Posted: Mon Oct 26, 2009 7:28 pm

Posts: 32
 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 = 1Statement 2)Says nothing about y, insufficient. Statement 1) rephrase: the LCM of y and 3 is (2)(3). Draw an LCM chart. 3 has one (3), so y MUST have one (2). additionally, y may also have an additional (3), without changing the LCM. Therefore, y can be (2) OR (2)(3). Insufficient.Together) y = (2) or (2)(3)x = 1, does not affect the denominator.Still insufficient. E. Was what I did in Statement 1 appropriate, and did I solve this problem in the best way possible?

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Fri Oct 30, 2009 9:39 pm
 Course Students

Posts: 98
 I agree with your approach for statment one. Thats what i did as well and got to "E"

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Thu Dec 03, 2009 4:02 am
 ManhattanGMAT Staff

Posts: 819
 Your approach is good! _________________Ben KuInstructorManhattanGMAT

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Mon Mar 05, 2012 1:51 pm
 Students

Posts: 5
 I don't understand Statement 1 - could you explain? Thanks!

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Mon Mar 05, 2012 10:14 pm
 Students

Posts: 8
 Your approach is correct except there is one more possibility for y: 6

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Wed Mar 07, 2012 8:23 pm
 ManhattanGMAT Staff

Posts: 8087
 note also that the numbers "3" and "6" are really small, so you can just think about the possibilities.if you think about the possibilities that will generate a LCD of 6, you should realize the following:* they both have to go into 6 ... so they must be 1, 2, 3, or 6.* one of them is 3. (this is given)* the other one can't be 3 or 1, since those possibilities would give a LCD of 3 rather than 6. * so, that means the denominator of the other fraction must be either 2 or 6.at this point, you can just examine the most elementary possibilities -- namely, 1/2 and 1/6 -- and that's enough to conclude that the answer is (e). _________________Being well-dressed gives a feeling of inward tranquillity [that] religion is powerless to bestow.C.F. Forbes

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Fri Jan 25, 2013 5:35 am
 Forum Guests

Posts: 182
Location: Bangalore
 Sir Ron,Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions.. Kindly guide us.Regards,Sach

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Fri Jan 25, 2013 6:30 pm
 ManhattanGMAT Staff

Posts: 706
 sachin.w wrote:Sir Ron,Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions.. Kindly guide us.Regards,SachLCM = least common multiple (multiple is a whole integer)LCD = least common denominator (bottom of a fraction)It's impossible to find the LCM of a fraction, because fractions are generally not whole numbers. But knowing your LCMs and LCDs are both crucially important for the GMAT. _________________Joe LuceroManhattan GMAT Instructor

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Sat Jan 26, 2013 1:08 am
 Forum Guests

Posts: 182
Location: Bangalore
 jlucero wrote:sachin.w wrote:Sir Ron,Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions.. Kindly guide us.Regards,SachLCM = least common multiple (multiple is a whole integer)LCD = least common denominator (bottom of a fraction)It's impossible to find the LCM of a fraction, because fractions are generally not whole numbers. But knowing your LCMs and LCDs are both crucially important for the GMAT.Ok.. Thanks a lot.. I actually misinterpreted LCD as LCM.. :D

 Post subject: Re: In the fraction x/y, where x and y are positive integers, wh  Posted: Sat Jan 26, 2013 6:58 pm
 ManhattanGMAT Staff

Posts: 2390
 sachin.w wrote:jlucero wrote:sachin.w wrote:Sir Ron,Though I understand the soln to this Question, I would like to know if we need to learn finding LCM of fractions.. Kindly guide us.Regards,SachLCM = least common multiple (multiple is a whole integer)LCD = least common denominator (bottom of a fraction)It's impossible to find the LCM of a fraction, because fractions are generally not whole numbers. But knowing your LCMs and LCDs are both crucially important for the GMAT.Ok.. Thanks a lot.. I actually misinterpreted LCD as LCM.. :DGlad that things are straightened out for you! :-) _________________Jamie NelsonManhattanGMAT Instructor

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