GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 Jun 2018, 12:19

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Manager
Status: Fighting the beast.
Joined: 25 Oct 2010
Posts: 170
Schools: Pitt, Oregon, LBS...
Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

### Show Tags

08 Dec 2010, 19:37
00:00

Difficulty:

45% (medium)

Question Stats:

36% (00:33) correct 64% (00:23) wrong based on 15 sessions

### HideShow timer Statistics

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: dividing-by-3-8-and-then-multiplying-by-5-6-is-the-same-as-dividing-by-211676.html

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

[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

Manager
Joined: 13 Jul 2010
Posts: 149
Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

### Show Tags

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.
Manager
Status: Fighting the beast.
Joined: 25 Oct 2010
Posts: 170
Schools: Pitt, Oregon, LBS...
Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

### Show Tags

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?
_________________

[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

Manager
Joined: 13 Jul 2010
Posts: 149
Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

### Show Tags

08 Dec 2010, 20:03
1
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.
Manager
Status: Fighting the beast.
Joined: 25 Oct 2010
Posts: 170
Schools: Pitt, Oregon, LBS...
Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

### Show Tags

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!
_________________

[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

Math Expert
Joined: 02 Sep 2009
Posts: 46305
Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what [#permalink]

### Show Tags

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 $$\frac{9}{20}$$:

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: dividing-by-3-8-and-then-multiplying-by-5-6-is-the-same-as-dividing-by-211676.html

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what   [#permalink] 12 Sep 2017, 01:02
Display posts from previous: Sort by