Which is greater than 2/3?

[Guest]

[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.

[RonPurewal]

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.

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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)

[shaji]

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

13/17>2/3 as well.

[guest]

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

[rfernandez]

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.

[Guest]

Also 13/17 x 6/6 = 78/102

Kevin Armstrong
Madrid, Spain

[rfernandez]

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.