Last visit was: 24 Apr 2026, 13:00 It is currently 24 Apr 2026, 13:00
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,820
Own Kudos:
Given Kudos: 105,873
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,820
Kudos: 811,060
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
KSBGC
Joined: 31 Oct 2013
Last visit: 10 Mar 2022
Posts: 1,240
Own Kudos:
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Posts: 1,240
Kudos: 1,509
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
Laksh128
Joined: 30 Nov 2018
Last visit: 09 Nov 2019
Posts: 94
Own Kudos:
20
 [1]
Given Kudos: 19
Status:Single
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.79
WE:Accounting (Accounting)
Posts: 94
Kudos: 20
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
jfranciscocuencag
Joined: 12 Sep 2017
Last visit: 17 Aug 2024
Posts: 227
Own Kudos:
144
 [1]
Given Kudos: 132
Posts: 227
Kudos: 144
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Recurring terminal to fractions:

3636... two digits [36]

\(36/99 = 4/11\)
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 24 Apr 2026
Posts: 22,286
Own Kudos:
26,534
 [1]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,286
Kudos: 26,534
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Which of the following fractions is equal to the repeating decimal 0.3636...?


A. 1/275

B. 2/55

C. 4/99

D. 4/11

E. 4/9

We see that 0.3636 is between 1/3 and 2/5.

Looking at the answer choices 1/275. 2/55 and 4/99 are too small, and since 4/9 is close to 1/2, we see that the correct answer must be 4/11.

Alternate solution:

We see that the decimal is a repeating decimal between 0 and 1 and the digits 36 repeat indefinitely right after the decimal point. In that case, it means the numerator is 36 and the denominator is 99, so the fraction is 36/99 = 4/11.

Alternate Solution:

If we let x = 0.3636… , then 100 x = 36.3636…

Subtracting the first equation from the second, we have

99x = 36

x = 36/99 = 4/11

Answer: D
Moderators:
Math Expert
109820 posts
Tuck School Moderator
853 posts