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# Fractions Question From GMAT Club Test (m25#15)

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Fractions Question From GMAT Club Test (m25#15) [#permalink]  07 May 2011, 23:27
Which of the following fractions is the largest?

(A) $$\frac{3252}{3257}$$

(B) $$\frac{3456}{3461}$$

(C) $$\frac{3591}{3596}$$

(D) $$\frac{3346}{3351}$$

(E) $$\frac{3453}{3458}$$

Last edited by fameatop on 28 Jul 2013, 11:08, edited 1 time in total.
OA not Provided
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  07 May 2011, 23:59
1
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taking the last two digits of the fractions,

52/57 , 56/61 , 91/96 , 46/51 , 53/58

1 . difference between numerator and denominator = 5 in each cases. Hence a particular fraction can't be eliminated on this basis.

2. Cross multiplications 52/57 ,56/61 here 56/61 is greater

46/51, 53/58 here 53/58 is greater

56/61, 91/96 here 91/96 is greater

91/96, 53/58 here 91/96 is greater.

Hence 91/96 C is greatest.
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 00:43
MitDavidDv wrote:
Which of the following fractions is the largest?

A. $$\frac{3252}{3257}$$

B.$$\frac{3456}{3461}$$

C. $$\frac{3591}{3596}$$

D.$$\frac{3346}{3351}$$

E. $$\frac{3453}{3458}$$

Similar post:
which-expression-is-the-greatest-m07q16-75697.html
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 02:57
4
KUDOS
C.

My approach was to note that each numerator was five less than the denominator.

i.e. $$\frac{(x-5)}{x} = 1 - \frac{5}{x}$$

To maximise this function, we maximise $$x$$, therefore, solution is C.
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Re: From MitDavidDv: Fractions Question From GMAT Club Test [#permalink]  08 May 2011, 06:38
Good Approach pike. +1 for you
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Re: Fractions Question From GMAT Club Test (m25#15) [#permalink]  28 Jul 2013, 10:39
1
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Search for the pattern of the fractions. As also given in the posts before, you will find out that the numerator is denominator - 5.

Think about a similar example with a similar pattern.
Easiest: (here numerator is denominator - 1)

5/6
4/5
3/4
2/3
1/2

Which one is now the largest?

You got it?
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Re: Fractions Question From GMAT Club Test (m25#15) [#permalink]  28 Jul 2013, 11:19
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A very nice Fraction question that can be solved very easily using logic.
If Any fraction is smaller than 1 and if we add same constant to both the Numerator & Denominator, then ratio increases in value towards 1
3/4 = .75
(3+1)/(4+1)=.80 (increased in Value)
(3+3)/(4+3)=.85 (increased in Value)

If Any fraction is Greater than 1 and if we add same constant to both the Numerator & Denominator, then ratio decreases in value towards 1
5/4 = 1.25
(5+1)/(4+1)=1.20 (decreased in Value)
(5+3)/(4+3)=1.14 (decreased in Value)

Which of the following fractions is the largest?
(A) $$\frac{3252}{3257}$$
(B) $$\frac{3456}{3461}$$ = $$\frac{3252+4}{3257+4}$$ - Increases in Value- higher than option A
(C) $$\frac{3591}{3596}$$ = $$\frac{3256+35}{3261+35}$$ - Increases in Value- higher than option B
(D) $$\frac{3346}{3351}$$ = $$\frac{3252-6}{3257-6}$$ - Decreases in Value- Lower than option A
(E) $$\frac{3453}{3458}$$ = $$\frac{3252+1}{3257+1}$$ - Increases in Value- higher than option A

Hope this property will help many.
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Re: Fractions Question From GMAT Club Test (m25#15) [#permalink]  23 Oct 2013, 04:49
at first glance we can see the pattern of 5. The next point is that the larger numbers form the fraction the larger value will be (becasue the fraction gets closer to 1)
according to all above said i go with C
Re: Fractions Question From GMAT Club Test (m25#15)   [#permalink] 23 Oct 2013, 04:49
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# Fractions Question From GMAT Club Test (m25#15)

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