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Evaluate the fraction

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GMAT Club Legend
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Joined: 07 Jun 2014
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Evaluate the fraction [#permalink] New post 16 Dec 2016, 19:13
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00:00

Question Stats:

77% (00:30) correct 22% (00:00) wrong based on 9 sessions
\(3 \div \frac{6}{7}\)

A. \(\frac{36}{7}\)
B. \(\frac{2}{7}\)
C. \(2\times\frac{4}{7}\)
D. \(3\)
E. \(3+\frac{1}{2}\)

Drill 1
Question: 1
Page: 310
[Reveal] Spoiler: OA

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GMAT Club Legend
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Joined: 07 Jun 2014
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Re: Evaluate the fraction [#permalink] New post 16 Dec 2016, 19:17
Expert's post
Explanation

When dividing by a fraction, flip the fraction and multiply:

\(3 \div \frac{6}{7}\)

or \(3 \times \frac{7}{6}\)

or \(\frac{21}{6}\)

or \(3+\frac{1}{2}\)

Alternatively, you may estimate and realize that 3 divided by something slightly smaller than 1 must be slightly larger than 3.

Hence option E is correct.
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Re: Evaluate the fraction [#permalink] New post 19 Dec 2016, 17:51
3 X 1/2 is 1.5. I think the correct answer should be written as 3+1/2, not 3 X 1/2, as the answer is 7/2, not 3/2.
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Joined: 07 Jun 2014
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Re: Evaluate the fraction [#permalink] New post 20 Dec 2016, 01:36
Expert's post
revengeoftheluddites wrote:
3 X 1/2 is 1.5. I think the correct answer should be written as 3+1/2, not 3 X 1/2, as the answer is 7/2, not 3/2.


Hey,

You are right. It is indeed \(3+\frac{1}{2}\) not \(3*\frac{1}{2}\).

The explanation above is the official explanation.

Regards,
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Re: Evaluate the fraction   [#permalink] 20 Dec 2016, 01:36
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