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M24-20

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Bunuel
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M24-20 [#permalink] New post   16 Sep 2014, 01:21
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88% (01:03) correct 12% (00:47) wrong based on 73 sessions
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Which of the following fractions is the largest?

A. \(\frac{11}{27}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{3}\)
D. \(\frac{25}{81}\)
E. \(\frac{3}{20}\)
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B
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Bunuel
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Re M24-20 [#permalink] New post   16 Sep 2014, 01:21
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Official Solution:

Which of the following fractions is the largest?

A. \(\frac{11}{27}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{3}\)
D. \(\frac{25}{81}\)
E. \(\frac{3}{20}\)


Clearly, \(\frac{3}{20}\) is the smallest fraction. Therefore, we should focus on comparing the other four. Using a common denominator of 81 for these fractions, we have:

A. \(\frac{11}{27}= \frac{33}{81}\)

B. \(\frac{4}{9}= \frac{36}{81}\)

C. \(\frac{1}{3}= \frac{27}{81}\)

D. \(\frac{25}{81}= \frac{25}{81}\)

From the above, it's evident that option B represents the largest fraction.


Answer: B
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spetznaz
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Re: M24-20 [#permalink] New post   03 May 2018, 07:36
+1 for option B. Convert fractions to common denominator and compare. 4/9 has the highest value ! Hence option B
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LevanKhukhunashvili
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Re: M24-20 [#permalink] New post   19 Feb 2019, 05:20
IMO very useful concept to learn

\(\frac{a}{b}\)>\(\frac{c}{d}\) if ad>cb

Example: Is \(\frac{4}{9}\)>\(\frac{3}{7}\) ?
4*7>9*3
Answer is YES

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Re: M24-20 [#permalink] New post   20 Aug 2023, 06:11
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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Re: M24-20 [#permalink]
20 Aug 2023, 06:11
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Bunuel
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