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

 It is currently 17 Oct 2019, 23:18

### 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

# Which of the following fractions is equal to the repeating decimal 0.3

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58415
Which of the following fractions is equal to the repeating decimal 0.3  [#permalink]

### Show Tags

06 Feb 2019, 02:27
00:00

Difficulty:

15% (low)

Question Stats:

75% (00:49) correct 25% (01:00) wrong based on 71 sessions

### HideShow timer Statistics

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

_________________
VP
Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Which of the following fractions is equal to the repeating decimal 0.3  [#permalink]

### Show Tags

06 Feb 2019, 02:34
Bunuel wrote:
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

4/11 = 0.3636............

Manager
Status: Single
Joined: 30 Nov 2018
Posts: 94
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.79
WE: Accounting (Accounting)
Re: Which of the following fractions is equal to the repeating decimal 0.3  [#permalink]

### Show Tags

06 Feb 2019, 02:49
1
1/11 is equal to 0.090909. So if we Multiply it by it will give us answer 0.363636.

Hit for kudos if you like the answer.

Posted from my mobile device
Senior Manager
Joined: 12 Sep 2017
Posts: 302
Re: Which of the following fractions is equal to the repeating decimal 0.3  [#permalink]

### Show Tags

13 Feb 2019, 18:39
1
Recurring terminal to fractions:

3636... two digits [36]

$$36/99 = 4/11$$
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8099
Location: United States (CA)
Re: Which of the following fractions is equal to the repeating decimal 0.3  [#permalink]

### Show Tags

15 Feb 2019, 18:51
1
Bunuel wrote:
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

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
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.

Re: Which of the following fractions is equal to the repeating decimal 0.3   [#permalink] 15 Feb 2019, 18:51
Display posts from previous: Sort by