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# Largest Fraction: m25 Q#15 gmat club test

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Intern
Joined: 09 Aug 2011
Posts: 25

Kudos [?]: 2 [0], given: 8

Largest Fraction: m25 Q#15 gmat club test [#permalink]

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10 Aug 2011, 20:11
I get the explanation and answer for this question. But can anyone explain a short cut? Also, what if the denominator was not > the numerator by 5 on each of the fractions?

Which of the following fractions is the largest?

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Kudos [?]: 2 [0], given: 8

Manager
Joined: 14 Mar 2011
Posts: 82

Kudos [?]: 49 [1], given: 21

Re: Largest Fraction: m25 Q#15 gmat club test [#permalink]

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10 Aug 2011, 20:43
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A. 1-5/3257
B. 1-5/3461
C. 1-5/3596
D 1-5/3351
E. 1-5/3558

It seems to me this one of the shortcut to solve. 5/3596 will have lowest value which will be subtracted from 1, so C will be largest fraction in this case.

If denominator was not > the numerator by 5, then it will be time consuming to calculate, but still you can apply approximation method to calculate e.g. 1- 6/3596 or 1-5/3595 which one will be large fraction will be later one.

Kudos [?]: 49 [1], given: 21

Director
Joined: 01 Feb 2011
Posts: 726

Kudos [?]: 143 [0], given: 42

Re: Largest Fraction: m25 Q#15 gmat club test [#permalink]

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21 Aug 2011, 15:16
largest fraction .... i.e smallest deduction

i.e largest denominator.

Hence the answer is C.

Kudos [?]: 143 [0], given: 42

Manager
Joined: 11 Dec 2010
Posts: 115

Kudos [?]: 46 [0], given: 50

WE: Consulting (Consulting)
Re: Largest Fraction: m25 Q#15 gmat club test [#permalink]

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01 Oct 2011, 02:25
Try small numbers -
1/2 = 50%
2/3 = 66.66%
3/4 = 75%
4/5 = 80%

Which shows that the difference between numberator and denominator remaining the same, the higher the numberator and denominator, the larger is the value...

Kudos [?]: 46 [0], given: 50

Manager
Joined: 20 Aug 2011
Posts: 144

Kudos [?]: 106 [0], given: 0

Re: Largest Fraction: m25 Q#15 gmat club test [#permalink]

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01 Oct 2011, 02:51
C

Such questions may be solved by observation. I don't think there is a fixed approach for that.

Kudos [?]: 106 [0], given: 0

Manager
Joined: 27 Oct 2011
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Kudos [?]: 211 [0], given: 4

Location: United States
Concentration: Finance, Strategy
GPA: 3.7
WE: Account Management (Consumer Products)
Re: Largest Fraction: m25 Q#15 gmat club test [#permalink]

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03 Feb 2012, 23:04
In each fraction the difference between the denominator and nominator is 5. As the the denominator gets bigger the fraction gets smaller when the difference between the two number stays constant.... ie. 5/10 < 20/25 < 100/105
_________________

DETERMINED TO BREAK 700!!!

Kudos [?]: 211 [0], given: 4

Re: Largest Fraction: m25 Q#15 gmat club test   [#permalink] 03 Feb 2012, 23:04
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# Largest Fraction: m25 Q#15 gmat club test

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