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 Post subject: Which is greater than 2/3?
 Post Posted: Wed Jun 04, 2008 8:02 pm 
[text deleted by Rey - OG problems may not be posted on this forum. Please refer to the sticky about this and other banned problem sources.]

What is the quickest way to solve this problem. The answer is B.


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 Post subject:
 Post Posted: Thu Jun 05, 2008 6:50 am 
Offline
ManhattanGMAT Staff


Posts: 6765
the quickest way to solve the problem is to use cross products to compare the fractions.
here is a page that explains that process: http://www.mathleague.com/help/fraction ... gfractions

for the correct answer, 8/11, the cross products are 8 x 3 = 24 and 2 x 11 = 22. the 24 wins, so the fraction with the 8 on top (8/11) is the larger fraction.
for all the other comparisons, the cross product headed by the 2 will win, meaning that the 2/3 is the larger fraction.

--

note also that 2/3 = 0.6666..., and all the other answer choices are easily memorized decimals:
1/50 is 0.02, so (a) is 0.66
1/11 is 0.0909090909..., so (b) is 0.7272727272... (i always thought this was cool) - note that you're done as soon as you find this.
1/5 is 0.2, so (c) is 0.6
1/8 is 0.125, so (e) is 0.625
13/17 is a bit of a bear, but you don't have to do it (you'd save it for last because it's ugly, and then you'd discover (b) before having to do it)


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 Post subject: Re: Which is greater than 2/3?
 Post Posted: Fri Jun 06, 2008 12:17 am 
Guest wrote:

What is the quickest way to solve this problem. The answer is B.


13/17>2/3 as well.


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 Post subject:
 Post Posted: Fri Jun 06, 2008 3:34 am 
I attacked the problem in a little different way:

1. x> 2/3. (need to find x)
2. Convert options with almost similar denominators:

i.e.
8/11= 32/44
3/5= 30/50
13/17= 39/51
5/8= 30/48

My intution when comparing goes for 13/17 (bigger numerator). Hence i compared it with 2/3 with common denominator and found 13/17 >2/3.

It didn't take moe than 2 mins to crack this


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 Post subject:
 Post Posted: Fri Jun 06, 2008 4:50 am 
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Course Students


Posts: 386
There must be a typo in the original post, as we have two correct choices.

Also, Guest, did you actually see this problem on a GMAT Prep exam? Please confirm the source. Thanks.


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 Post subject:
 Post Posted: Sun Jun 08, 2008 5:12 am 
Also 13/17 x 6/6 = 78/102

Kevin Armstrong
Madrid, Spain


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 Post subject:
 Post Posted: Fri Jun 13, 2008 4:09 am 
Offline
Course Students


Posts: 386
As Guest did not respond, I deleted the original post's contents. This problem is from the OG and posting it here violates our guidelines. Thanks for your understanding and cooperation.


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