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# Which of the following fractions has the greatest value?

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Math Expert
Joined: 02 Sep 2009
Posts: 60465
Which of the following fractions has the greatest value?  [#permalink]

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06 Nov 2019, 06:24
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Difficulty:

75% (hard)

Question Stats:

52% (02:20) correct 48% (02:29) wrong based on 48 sessions

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Which of the following fractions has the greatest value?

A. $$\frac {3}{8!}$$

B. $$\frac{6(4!)}{5(9!)}$$

C. $$\frac{4(3!)}{9!}$$

D. $$\frac{3}{5(7!)}$$

E. $$\frac{14}{5(8!)}$$

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Joined: 19 Oct 2018
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Location: India
Re: Which of the following fractions has the greatest value?  [#permalink]

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06 Nov 2019, 08:10
A. $$(\frac{3}{8!})$$

B. $$\frac{6*4*2}{5*9} *(\frac{3}{8!})$$= $$\frac{16}{15}*(\frac{3}{8!})$$ > A

C. $$\frac{4*2}{9} *(\frac{3}{8!})$$= $$\frac{8}{9}*(\frac{3}{8!})$$ < B

D. $$\frac{3*8}{5} *(\frac{3}{8!})$$= $$\frac{24}{5}*(\frac{3}{8!})$$ > B

E. $$\frac{14}{5*3} *(\frac{3}{8!})$$= $$\frac{14}{15}*(\frac{3}{8!})$$ < D

D

Bunuel wrote:
Which of the following fractions has the greatest value?

A. $$\frac {3}{8!}$$

B. $$\frac{6(4!)}{5(9!)}$$

C. $$\frac{4(3!)}{9!}$$

D. $$\frac{3}{5(7!)}$$

E. $$\frac{14}{5(8!)}$$

Are You Up For the Challenge: 700 Level Questions
Re: Which of the following fractions has the greatest value?   [#permalink] 06 Nov 2019, 08:10
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