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Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what

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Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

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New post 08 Dec 2010, 19:37
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  45% (medium)

Question Stats:

40% (00:33) correct 60% (00:27) wrong based on 14 sessions

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Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what number?

A) 3 1/5

B) 16/5

C) 20/9

D) 9/20

E) 5/16

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/dividing-by- ... 11676.html
[Reveal] Spoiler: OA

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[highlight]Massive collection of thousands of Data Sufficiency and Problem Solving questions and answers:[/highlight]
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Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

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New post 08 Dec 2010, 19:52
x/(3/8) = (8x/3)*(5/6) = 20x/9 ....so this would be same as dividing x/(9/20). Ans D.

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Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

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New post 08 Dec 2010, 19:58
gettinit wrote:
x/(3/8) = (8x/3)*(5/6) = 20x/9 ....so this would be same as dividing x/(9/20). Ans D.


Your answer is correct, but I am still struggling with understanding why it isn't 20/9, which is what i chose. Care to elaborate a bit more?
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[highlight]Monster collection of Verbal questions (RC, CR, and SC)[/highlight]
http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142

[highlight]Massive collection of thousands of Data Sufficiency and Problem Solving questions and answers:[/highlight]
http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133

Kudos [?]: 462 [0], given: 36

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Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

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New post 08 Dec 2010, 20:03
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MisterEko wrote:
gettinit wrote:
x/(3/8) = (8x/3)*(5/6) = 20x/9 ....so this would be same as dividing x/(9/20). Ans D.


Your answer is correct, but I am still struggling with understanding why it isn't 20/9, which is what i chose. Care to elaborate a bit more?



It can't be 20/9 because lets say you x/(20/9) you would end up with 9x/20. The question asks that what would be same as dividing by 3/8 and then multiplying by 5/6? Well when you divide x by 3/8 and the multiply it by 5/6 you get 20x/9 as I stated above so therefore to get 20x/9 you have to divide x/9/20 - you always flip the fraction in the denominator to turn the problem into multiplication so its easier to solve.

Hope it helps.

Kudos [?]: 97 [1], given: 7

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Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

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New post 08 Dec 2010, 20:08
gettinit wrote:
MisterEko wrote:
gettinit wrote:
x/(3/8) = (8x/3)*(5/6) = 20x/9 ....so this would be same as dividing x/(9/20). Ans D.


Your answer is correct, but I am still struggling with understanding why it isn't 20/9, which is what i chose. Care to elaborate a bit more?



It can't be 20/9 because lets say you x/(20/9) you would end up with 9x/20. The question asks that what would be same as dividing by 3/8 and then multiplying by 5/6? Well when you divide x by 3/8 and the multiply it by 5/6 you get 20x/9 as I stated above so therefore to get 20x/9 you have to divide x/9/20 - you always flip the fraction in the denominator to turn the problem into multiplication so its easier to solve.

Hope it helps.


That does help, actually. I appreciate it, mate! Kudos!
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[highlight]Monster collection of Verbal questions (RC, CR, and SC)[/highlight]
http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142

[highlight]Massive collection of thousands of Data Sufficiency and Problem Solving questions and answers:[/highlight]
http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133

Kudos [?]: 462 [0], given: 36

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Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

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New post 12 Sep 2017, 01:02
MisterEko wrote:
Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what number?

A) 3 1/5

B) 16/5

C) 20/9

D) 9/20

E) 5/16


So, we got that if we divide x by 3/8 and multiply by 5/6, we'll get \(\frac{20}{9}*x\). The question asks: by what number we should divide x to get \(\frac{29}{9}*x\)? The answer is \(\frac{9}{20}\):

\(\frac{x}{(\frac{9}{20})} = \frac{20}{9}*x\).

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/dividing-by- ... 11676.html
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Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what   [#permalink] 12 Sep 2017, 01:02
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