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Which expression has the greatest value?

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Which expression has the greatest value?  [#permalink]

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New post 01 Nov 2016, 09:01
1
4
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (00:51) correct 36% (00:47) wrong based on 144 sessions

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Which expression has the greatest value?

(A) 1977452/1977455
(B) 1982466/1982469
(C) 1982487/1982490
(D) 1982456/1982459
(E) 1982465/1982468
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Re: Which expression has the greatest value?  [#permalink]

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New post 01 Nov 2016, 09:11
1
The difference between each numerator/denominator pair is three.

The largest expression (which in this case will also be the closest to one) is the expression where '3' is the smallest fraction of the numerator (or the denominator).

The largest numerator is 1982487, or C, and this will give an expression with a value closest to one.

We can also demonstrate that this approach works with some simple logic. Taking numerator/denominator pairs that differ by three...

1/4 = 0.25
2/5 = 0.4
3/6 = 0.5

...

27/30 = 0.9

...

1982487/1982490 = 0.999998486....
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Re: Which expression has the greatest value?  [#permalink]

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New post 01 Nov 2016, 11:55
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The difference between numerator and denominator is always equal to 3.

So to pick the greatest one we should pick the greatest numbers, so it is answer C.

Please don't hesitate if you have any question.

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Which expression has the greatest value?  [#permalink]

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New post 11 Nov 2016, 11:09
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Here is my approach.This is a typical Question Asking us to compare fractions.

The rule we can use here is that => " Whenever we add the same constant to both the numerator and the denominator of a positive fraction, the fraction approaches one"


Now As for this Question
Let 1977452/1977455 be the original fraction.
Notice that it is a positive Proper fraction.
Hence adding the same constant to both the numerator and the denominator will increase the fraction as the fraction will move closer to one.
Hence we just have to pick the number that adds the greatest value to both the numerator and the denominator.
So It must be C.
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Re: Which expression has the greatest value?  [#permalink]

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New post 17 Nov 2016, 13:06
The difference between numerator and denominator is always equal to 3.

So, you have to pick the greatest one and we should pick option C.

Please don't hesitate if you have any question.
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Re: Which expression has the greatest value?  [#permalink]

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New post 06 Jan 2019, 00:40
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Re: Which expression has the greatest value? &nbs [#permalink] 06 Jan 2019, 00:40
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