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Which of the following fractions is closest in value to ?

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1596 [0], given: 373

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Which of the following fractions is closest in value to ? [#permalink] New post 01 Jan 2017, 17:23
Expert's post
00:00

Question Stats:

60% (00:43) correct 40% (00:00) wrong based on 5 sessions
Which of the following fractions is closest in value to \(\frac{5}{8}\)?

A. \(\frac{2}{3}\)
B. \(\frac{3}{4}\)
C. \(\frac{7}{11}\)
D. \(\frac{19}{23}\)
E. \(\frac{23}{30}\)


Drill 2
Question: 3
Page: 314
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1596 [0], given: 373

CAT Tests
Re: Which of the following fractions is closest in value to ? [#permalink] New post 01 Jan 2017, 17:30
Expert's post
Explanation

There are two ways to go about this problem. One is to use the Bowtie method to compare fractions to compare fractions. \(\frac{2}{3}\) versus \(\frac{5}{8}\) yields a 16 versus 15. Pretty close. \(\frac{3}{$}\) versus \(\frac{5}{8}\) yields 24 versus 20. Not as close, so eliminate it \(\frac{7}{11}\) versus \(\frac{5}{8}\) yields 56 versus 55, that’s really close on a percentage basis because the number are bigger. Eliminate choice (A).

\(\frac{19}{25}\) versus \(\frac{5}{8}\) yields 152 versus 115. Get rid of it. Choice (E) yields 18 versus 50. Get rid of it. Alternatively, you could also use long division, but if you do, there is no need to finish out the math for each answer. 5 divided by 8 = 0.625.

\(\frac{2}{3} =0.66\) Keep it. When you start to divide 3 by four, the first number you see is a 7. Don’t continue to divide, just eliminate it because 0.7 is farther from 0.625 than 0.66. Choice (C) yields 0.63, so keep it and eliminate choice (A). The answer is 19 divided by 23
begins with 0.8, so get rid of it. The answer to 23 divided by 30 begins with 0.7 so get rid of that too.

The option C is correct.
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Re: Which of the following fractions is closest in value to ?   [#permalink] 01 Jan 2017, 17:30
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Which of the following fractions is closest in value to ?

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