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# 4+2/9/1+1/6

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Founder
Joined: 18 Apr 2015
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4+2/9/1+1/6 [#permalink]  16 Jun 2020, 08:53
Expert's post
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Question Stats:

100% (00:40) correct 0% (00:00) wrong based on 6 sessions
$$\frac{4+\frac{2}{9}}{1+\frac{1}{6}}$$

A. $$\frac{133}{27}$$

B. $$\frac{76}{21}$$

C. $$\frac{44}{16}$$

D. $$\frac{28}{11}$$

E. $$\frac{5}{4}$$

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

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Intern
Joined: 23 Jun 2020
Posts: 24
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Kudos [?]: 16 [0], given: 1

Re: 4+2/9/1+1/6 [#permalink]  24 Jun 2020, 08:21
Lets first consider the top and the bottom of the fraction independently:

Top: 4 + (2/9) = 38/9

Bottom: 1+1/6 = 7/6

Now lets divide: (38/9) : (7/6) = (38*6)/(9*7) = (38*2)/(3*7) = 76/21

Thus B is the correct answer
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MyGuru Representative
Joined: 09 Apr 2020
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Re: 4+2/9/1+1/6 [#permalink]  27 Jun 2020, 19:38
Expert's post
Carcass wrote:
$$\frac{4+\frac{2}{9}}{1+\frac{1}{6}}$$

A. $$\frac{133}{27}$$

B. $$\frac{76}{21}$$

C. $$\frac{44}{16}$$

D. $$\frac{28}{11}$$

E. $$\frac{5}{4}$$

Kudos for the right answer and explanation

This one's a good candidate for estimation, which can sometimes be even quicker than doing the math outright.

If the numerator were $$4\frac{4}{6}$$ $$(4\frac{1}{2})$$ then the denominator $$1\frac{1}{6}$$ would divide evenly into the numerator 4 times.

If the numerator were $$3\frac{3}{6}$$ $$(3\frac{1}{2})$$ then the denominator $$1\frac{1}{6}$$ would divide evenly into the numerator 3 times.

Because the numerator is between $$3\frac{3}{6}$$ and $$4\frac{4}{6}$$, you're looking for an answer between 3 and 4. B is the only one that fits.

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Steve Markofsky

Re: 4+2/9/1+1/6   [#permalink] 27 Jun 2020, 19:38
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