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# Evaluate the fraction

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1910 [0], given: 397

Evaluate the fraction [#permalink]  16 Dec 2016, 19:13
Expert's post
00:00

Question Stats:

72% (00:28) correct 27% (00:23) wrong based on 11 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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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1910 [0], given: 397

Re: Evaluate the fraction [#permalink]  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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Sandy
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Intern
Joined: 15 Dec 2016
Posts: 18
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Kudos [?]: 6 [0], given: 3

Re: Evaluate the fraction [#permalink]  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.
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1910 [0], given: 397

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

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