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Which of the following fractions has the greatest value?

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punzo
 Post subject: Which of the following fractions has the greatest value?
 Post Posted: Fri Mar 05, 2010 2:15 am 
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Students


Posts: 15
Which of the following fractions has the greatest value?

3/8!

6(4!)/5(9!)

4(3!)/9!

3/5(7!)


How to approach this question. Can someone explain it.
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cyapt81
 Post subject: Re: Which of the following fractions has the greatest value?
 Post Posted: Sat Mar 20, 2010 6:43 pm 
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Posts: 7
Since two of the answer choices have 9! in the denominator, try to get all of the denominators to be in terms of 9!(5) by multiplying top and bottom of each fraction:

3/8! = (9)(3)(5)/(8!)(9)(5) = 135/9!(5)

6(4!)/5(9!) = (4!)(6)/(5)(9!) = 144/9!(5)

4(3!)/9! = 4(3!)(5)/(5)9! = 120/9!(5)

3/5(7!) = (3)(8)(9)/5(8)(9)(7!) = 216/9!(5)

Answer is the fourth choice 3/5(7!)
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Ben Ku
 Post subject: Re: Which of the following fractions has the greatest value?
 Post Posted: Tue Mar 30, 2010 7:51 pm 
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ManhattanGMAT Staff


Posts: 824
Please see the following response.

which-of-the-following-fractions-has-the-greatest-value-t8104.html?hilit=Which%20of%20the%20following%20fractions%20has%20the%20greatest%20value?

_________________
Ben Ku
Instructor
ManhattanGMAT
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