BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

recurring decimal

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Tue Mar 03, 2009 4:55 am
The value of the recurring decimal number 0.6313131... is equal to

A. 65/106
B. 125/198
C. 627/990
D. 691/1124
E. 737/1200
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 90
Joined: Mon Mar 02, 2009 6:06 am
Thanked: 3 times

by Baldini » Tue Mar 03, 2009 5:46 am
Answer is B.
So you by any chance know a shortcut for this type of exercise?
thx
GMAX
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 418
Joined: Wed Jun 11, 2008 5:29 am
Thanked: 65 times

by bluementor » Tue Mar 03, 2009 5:55 am
0.631313131....
= 0.6 + 0.0303030303.. + 0.001010101...
= 0.6 + 3/99 + 0.001010101...
= 0.6 + 3/99 + (0.01010101...)/10
= 0.6 + 3/99 + (1/99)/10
=0.6 + 3/99 + (1/990)
=3/5 + 31/990
=(3(198) + 31)/990
= 625/990
=125/198

Choose B.

-BM-
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Tue Mar 03, 2009 6:05 am
Baldini wrote:Answer is B.
So you by any chance know a shortcut for this type of exercise?
thx
Sure Baldini, if the repeating pattern of digits is set to start right after the decimal point, then this part will be equivalent to the integer formed by pattern divided by as many 9s as are the digits in the numerator; for example 0.861861861... will always be equal to 861/999; 3.057575757... = 3 + 0.057575757... = 3 + (1/10) (0.57575757...) = 3 + (1/10) (57/99) = 3 + (1/10) (19/33) = 3 + (19/330) = 1009/330.

The present number

0.6313131... = 0.6 + 0.0313131... = 6/10 + (1/10) (0.313131...)

= 3/5 + (1/10) (31/99) = 3/5 + 31/990 = [(198*3) + 31]/990

= (594 + 31)/990 = 625/990 = 125/198
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 90
Joined: Mon Mar 02, 2009 6:06 am
Thanked: 3 times

by Baldini » Tue Mar 03, 2009 6:20 am
thanks a lot.
GMAX
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1