Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 23 Jul 2019, 06:33

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

1 + 1/(1 + 1/(1 + 1/3))

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Joined: 10 Nov 2010
Posts: 175
Location: India
Concentration: Strategy, Operations
GMAT 1: 520 Q42 V19
GMAT 2: 540 Q44 V21
WE: Information Technology (Computer Software)
1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 13 Feb 2011, 06:45
2
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (01:14) correct 15% (01:45) wrong based on 199 sessions

HideShow timer Statistics


\(1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}=\)


A. 4/7

B. 4/3

C. 11/8

D. 11/7

E. 7/4

Attachment:
fraction.JPG
fraction.JPG [ 28.33 KiB | Viewed 3527 times ]

_________________
The proof of understanding is the ability to explain it.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56371
1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 13 Feb 2011, 07:06
1
2
VP
VP
User avatar
D
Joined: 09 Mar 2016
Posts: 1273
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 24 Feb 2018, 12:24
1
Bunuel wrote:
\(1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}=1+\frac{1}{1+\frac{1}{\frac{4}{3}}}=1+\frac{1}{1+\frac{3}{4}}=1+\frac{1}{\frac{7}{4}}=1+\frac{4}{7}=\frac{11}{7}\).

Answer: D.



Hi Bunuel, why did you move up one number "1" from denominator

the denominator looks like this as it is in the picture --> 1+1+\(\frac{1}{1+3}\) and denominator should equal 11/4

I got final answer 4/11 :?
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3857
Location: Canada
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 24 Feb 2018, 14:48
1
Top Contributor
Aside: Bunuel is using a very useful (and often tested) fraction property that says: 1/(a/b) = b/a

Some examples:
1/(2/3) = 3/2
1/(8/5) = 5/8

MORE USEFUL FRACTION PROPERTIES HERE:

_________________
Test confidently with gmatprepnow.com
Image
Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 683
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 25 Feb 2018, 19:08
1
dave13 wrote:
Bunuel wrote:
\(1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}=1+\frac{1}{1+\frac{1}{\frac{4}{3}}}=1+\frac{1}{1+\frac{3}{4}}=1+\frac{1}{\frac{7}{4}}=1+\frac{4}{7}=\frac{11}{7}\).

Answer: D.



Hi Bunuel, why did you move up one number "1" from denominator

the denominator looks like this as it is in the picture --> 1+1+\(\frac{1}{1+3}\) and denominator should equal 11/4

I got final answer 4/11 :?


dave13 He didn't move any denominator!!! He just simplified the denominator.

1+\(\frac{1}{3}\) = 4/3 & 1/(4/3)=3/4
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6991
Location: United States (CA)
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 28 Feb 2018, 11:25
GMATD11 wrote:
Attachment:
fraction.JPG


Let’s first simplify 1 + 1/3:

1 + 1/3 = 4/3

1/(4/3) = 3/4. So we now have:

1 + 1/(1 + 3/4)

1 + 1/(7/4)

1 + 4/7 = 7/7 + 4/7 = 11/7

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Senior Manager
Senior Manager
User avatar
P
Joined: 10 Apr 2018
Posts: 270
Location: United States (NC)
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 18 Aug 2018, 22:38
Bunuel wrote:
\(1+\frac{1}{1+\frac{1}{1+\frac{1}{3}}}=1+\frac{1}{1+\frac{1}{\frac{4}{3}}}=1+\frac{1}{1+\frac{3}{4}}=1+\frac{1}{\frac{7}{4}}=1+\frac{4}{7}=\frac{11}{7}\).

Answer: D.


Hi Bunuel,

Can you edit this question. The way it is shown in image is

1 / {1+1+ [1 / (1+1/3) ] }

And Also i tried to post it mathematically . But it wouldn't show up in the format .

\(\frac{1}{1+1 + [m][fraction]1/1+[fraction]1/3}[/fraction]\)[/fraction][/m]

Where am i going wrong
Probus
_________________
Probus

~You Just Can't beat the person who never gives up~ Babe Ruth
Manager
Manager
avatar
S
Joined: 11 Mar 2018
Posts: 95
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 18 Aug 2018, 23:00
GMATD11 wrote:
Attachment:
fraction.JPG


Hi GMAT D11,

The question should be formatted like this to get OA as D.

1 + \(\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\)

If we frame it like the image in the question answer seems to round upto -

\(\frac{4}{11}\)
_________________
Regards
AD
---------------------------------
A Kudos is one more question and its answer understood by somebody !!!
Manager
Manager
User avatar
S
Joined: 20 Jul 2018
Posts: 87
GPA: 2.87
Re: 1 + 1/(1 + 1/(1 + 1/3))  [#permalink]

Show Tags

New post 19 Aug 2018, 08:35
adstudy wrote:
GMATD11 wrote:
Attachment:
fraction.JPG


Hi GMAT D11,

The question should be formatted like this to get OA as D.

1 + \(\frac{1}{1+\frac{1}{1+\frac{1}{3}}}\)

If we frame it like the image in the question answer seems to round upto -

\(\frac{4}{11}\)


:thumbup:
_________________
Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas
GMAT Club Bot
Re: 1 + 1/(1 + 1/(1 + 1/3))   [#permalink] 19 Aug 2018, 08:35
Display posts from previous: Sort by

1 + 1/(1 + 1/(1 + 1/3))

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne