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4+2/9/1+1/6

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4+2/9/1+1/6 [#permalink] New post 16 Jun 2020, 08:53
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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. \(\frac{5}{4}\)


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[Reveal] Spoiler: OA

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Re: 4+2/9/1+1/6 [#permalink] New post 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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Re: 4+2/9/1+1/6 [#permalink] New post 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.

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