Last visit was: 22 Apr 2026, 17:33 It is currently 22 Apr 2026, 17:33
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
Fistail
User avatar
Joined: 03 May 2007
Last visit: 14 Mar 2019
Posts: 330
Own Kudos:
1,288
Given Kudos: 7
Concentration: Finance, Economics
Schools:University of Chicago, Wharton School
Posts: 330
Kudos: 1,288
Fun math: Reduce the repeating decimal 0.14054054 in a 21 Aug 2007, 05:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

History

Date
Time
Result
Not Attempted Yet
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
bkk145
User avatar
Joined: 10 Jun 2007
Last visit: 23 Feb 2014
Posts: 645
Own Kudos:
1,801
Posts: 645
Kudos: 1,801
Fun math: Reduce the repeating decimal 0.14054054 in a 21 Aug 2007, 06:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Fistail
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.
Show more


I have no idea how to do this one...:(
Someone explain...
User avatar
prov
User avatar
Joined: 20 Aug 2007
Last visit: 13 Mar 2015
Posts: 33
Own Kudos:
36
Posts: 33
Kudos: 36
Fun math: Reduce the repeating decimal 0.14054054 in a 21 Aug 2007, 06:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Fistail
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.
Show more


I'm not so sure whether i'm correct or not, but i'll give a try

let X = 0.14054054.... and this is what we wanna find out)
100X = 14.054054.......
100X = 14+(54/999)

we get X = 26/185
User avatar
bkk145
User avatar
Joined: 10 Jun 2007
Last visit: 23 Feb 2014
Posts: 645
Own Kudos:
1,801
Posts: 645
Kudos: 1,801
Fun math: Reduce the repeating decimal 0.14054054 in a 21 Aug 2007, 07:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
prov
Fistail
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.

I'm not so sure whether i'm correct or not, but i'll give a try

let X = 0.14054054.... and this is what we wanna find out)
100X = 14.054054.......
100X = 14+(54/999)

we get X = 26/185
Show more


hmm, I think I understand.
So you first separate the non-repeated digits, then deal with the repeated ones...
Good stuff. thanx.
User avatar
Fistail
User avatar
Joined: 03 May 2007
Last visit: 14 Mar 2019
Posts: 330
Own Kudos:
1,288
Given Kudos: 7
Concentration: Finance, Economics
Schools:University of Chicago, Wharton School
Posts: 330
Kudos: 1,288
Fun math: Reduce the repeating decimal 0.14054054 in a 21 Aug 2007, 22:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Fistail
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.
Show more


Suppose x = 0.14054054
10x = 1.4054054
1,000 (10x) = 1405.4054

now lets subtract 10x from both sides

9,990x = 1405.4054 - 1.4054054
x = 1405/9990
x = 26/185
User avatar
GK_Gmat
User avatar
Joined: 09 Aug 2006
Last visit: 28 Feb 2009
Posts: 348
Own Kudos:
1,078
Posts: 348
Kudos: 1,078
Fun math: Reduce the repeating decimal 0.14054054 in a 22 Aug 2007, 00:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Fistail
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.
Show more


.1405405.... = 1.405405../10 = (1+.405405...)/10

Since .405405... = 405/999 [Any repeating decimal can be expressed in this form where the numerator is the repeating part and the denominator is equal to the same number of 9's as the repeating digits. eg: .454545 = 45/99] we have:

(1+405/999)/10 = (1+15/37)/10 = 26/185
User avatar
StartupAddict
User avatar
Joined: 31 Mar 2007
Last visit: 14 May 2009
Posts: 362
Own Kudos:
190
Location: Canada eh
Posts: 362
Kudos: 190
Fun math: Reduce the repeating decimal 0.14054054 in a 22 Aug 2007, 01:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1 + 405/999
= (999+405)/999
= 1404/999
= 156/111
= 52/37


ohhhhhhhh yeah whos your daddy

oops .145xxx not 1.4
so divide by 10
so 52/370
= 26/185
User avatar
Sumithra Sen
User avatar
Joined: 18 Jun 2007
Last visit: 29 Aug 2007
Posts: 47
Own Kudos:
9
Posts: 47
Kudos: 9
Fun math: Reduce the repeating decimal 0.14054054 in a 23 Aug 2007, 17:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I am getting the answer to this as 7/50..

0.14054054 = 14054054/ 10^8
Dividing numerator and denominator by 10^6

14.05/100 = 7/50

Am I way off here?
User avatar
Whatever
User avatar
Joined: 03 Sep 2006
Last visit: 17 Jun 2008
Posts: 95
Own Kudos:
96
Posts: 95
Kudos: 96
Fun math: Reduce the repeating decimal 0.14054054 in a 23 Aug 2007, 20:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Fistail
Fistail
Fun math: Reduce the repeating decimal 0.14054054 in a fraction term.

Suppose x = 0.14054054
10x = 1.4054054
1,000 (10x) = 1405.4054

now lets subtract 10x from both sides

9,990x = 1405.4054 - 1.4054054
x = 1405/9990
Show more

1405.4054 - 1.4054054 = 1404, not 1405

So it'll be 1404/9990 and I got 66/555



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109754 posts