Fractions

This topic has expert replies
Moderator
Posts: 772
Joined: Wed Aug 30, 2017 6:29 pm
Followed by:6 members

Fractions

by BTGmoderatorRO » Sun Sep 10, 2017 10:09 am
Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24

the QA is B

do you agree with me on E. if yes, we are on the same page. if No, prove yourself otherwise

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Sun Sep 10, 2017 10:14 am
Roland2rule wrote:Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24

the QA is B
6/24 is EQUAL to 1/4
In other words, 6/24 is not GREATER than 1/4....ELIMINATE E

3/11 = 0.272727....
1/4 = 0.25

So, 3/11 is GREATER THAN 1/4

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image

User avatar
GMAT Instructor
Posts: 555
Joined: Wed Oct 04, 2017 4:18 pm
Thanked: 180 times
Followed by:12 members

by EconomistGMATTutor » Tue Oct 10, 2017 6:16 am
Hello Roland.

As you can see the question says greater than. Option E is 6/24=1/4. Now, option E is not greater than 1/4 (it is equal). So, E is not correct.

Now, we can check that B is greater than 1/4 as follows:

3/11>1/4 <=> 12>11, the last inequality is true, so the first one is also true.

In conclusion, B is the correct option.

I am available if you'd like any follow up.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

Image

GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pm
Location: East Bay all the way
Thanked: 625 times
Followed by:119 members
GMAT Score:780

by Matt@VeritasPrep » Wed Oct 11, 2017 5:36 pm
6/24 =>

(6*1)/(6*4) =>

1/4

1/4 isn't greater than itself, so E is out.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7223
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: Fractions

by Scott@TargetTestPrep » Sun Feb 02, 2020 10:07 am
BTGmoderatorRO wrote:
Sun Sep 10, 2017 10:09 am
Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24

the QA is B

do you agree with me on E. if yes, we are on the same page. if No, prove yourself otherwise
Solution:

We see that 1/4 = 0.25.

Since 12/50 = 24/100 = 0.24, A is not the correct answer.

Since 3/11 = 0.2727…, B is the correct answer.

Alternate Solution:

We are looking for a numerator that is more than 4 times the denominator. This will indicate that the value of the fraction is greater than ¼.

Choice A: 12 x 4 = 48. Since 48 < 50, this doesn’t work.

Choice B: 3 x 4 = 12. Since 12 > 11, this is the correct answer. We see that 3/11 is greater than ¼.

Let’s finish the remaining choices to show that they won’t work.

Choice C: 2 x 4 = 8. Since 8 < 9, this doesn’t work.

Choice D: 4 x 4 = 16. Since 16 < 17m, this doesn’t work.

Choice E: 6 x 4 = 24. Since 24 = 24, this doesn’t work (the fraction is equal to ¼)

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage