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

 It is currently 18 Nov 2019, 19:05

### 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 closest to 1/2?

Author Message
TAGS:

### Hide Tags

Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 522
GPA: 2.81
Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

15 Jun 2016, 01:01
11
1
136
00:00

Difficulty:

55% (hard)

Question Stats:

63% (01:38) correct 37% (01:28) wrong based on 2402 sessions

### HideShow timer Statistics

Which of the following fractions is closest to $$\frac{1}{2}$$?

A) $$\frac{4}{7}$$

B) $$\frac{5}{9}$$

C) $$\frac{6}{11}$$

D) $$\frac{7}{13}$$

E) $$\frac{9}{16}$$

OG 2017 New Question

_________________
Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8412
Location: United States (CA)
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

05 Dec 2016, 18:22
63
31
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2.

A) 4/7

4/7 - 1/2 = 8/14 - 7/14 = 1/14

B) 5/9

5/9 - 1/2 = 10/18 - 9/18 = 1/18

C) 6/11

6/11 - 1/2 = 12/22 - 11/22 = 1/22

D) 7/13

7/13 - 1/2 = 14/26 - 13/26 = 1/26

E) 9/16

9/16 - 1/2 = 9/16 - 8/16 = 1/16

Since 1/26 is closest to zero, 7/13 is closest to 1/2.

_________________

# 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.

Math Expert
Joined: 02 Aug 2009
Posts: 8187
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

15 Jun 2016, 06:41
33
33
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

Hi,

Do not waste time in calculating..
look at the similarity in all choices- they all EXCEPT E are of type $$\frac{x}{2x-1}$$...
and $$\frac{x}{2x-1}$$ for an integer x is always >1/2 and will become lesser in value , that is will keep getting closer to 1/2 with higher VALUE of x..

you can check in two ways-
1) for x as 1 or 2 or 3..
x=1, $$\frac{x}{2x-1}$$ = 1..
x=2, $$\frac{x}{2x-1}$$ = 2/3..
x=3, $$\frac{x}{2x-1}$$ = 3/5..
so each successive value is smaller than previous one..

2) simplify the term..- IMPORTANT
$$\frac{x}{2x-1}$$=$$\frac{1}{(2x-1)/x}$$ = $$\frac{1}{(2x/x-1/x)}$$ = $$\frac{1}{(2-1/x)}$$
so the denominator should be closer to 2 so $$2-\frac{1}{x}$$ should be close to 2, and therefore x should be MAX to make $$\frac{1}{x}$$ less

Therefore, here 7 is the highest value in the four choices so D is the closest to 1/2.

lets see E... It is the TYPE $$\frac{x}{2(x-1)}$$... clearly since 7 and 9 are close to each other but denominator in E is reduced by a larger number,
_________________
Senior Manager
Joined: 29 Jun 2017
Posts: 418
GPA: 4
WE: Engineering (Transportation)
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

17 Aug 2017, 11:03
62
13

i have 1 very nice way to solve
multiply all by 2 and write in form of 1+ something

like 4/7 x 2 = 8/7 = 1+1/7
now consider only latter part like 1/7

now for all when u do same you will get

1+1/7
1+1/9
1+1/11
1+1/13
1+2/16 = 1+1/8

now here 13 is max so we have selected it

if the number had been 1/2 exact then multiplying by 2 would have yielded 1 exactly and writing in same form 1+0

now see 0 part for the number whose denominator is max will be closer to zero

hence we have selected 13.

Give Kudos If you like this method, i have seen no body has used this.

_________________
Give Kudos for correct answer and/or if you like the solution.
##### General Discussion
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4831
Location: India
GPA: 3.5
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

06 Dec 2016, 08:34
14
1
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

$$\frac{1}{2}$$ = 50%

Now, Check the options...

A) $$\frac{4}{7}$$ = 57.14 %
B) $$\frac{5}{9}$$ = 55.56 %
C) $$\frac{6}{11}$$ = 54.54 %
D) $$\frac{7}{13}$$ = 53.85 %
E) $$\frac{9}{16}$$ = 56.25 %

Since the closest answer is (D) , that will be our answer...

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Joined: 20 Oct 2014
Posts: 5
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

21 Aug 2016, 03:10
10
3
0.5/7, 0.5/9, 0.5/11, 0.5/13, 0.5/8 .. are the differences.
Pick 0.5/13
Math Expert
Joined: 02 Aug 2009
Posts: 8187
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

03 Aug 2016, 07:49
6
RichaChampion wrote:
chetan2u wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

Hi,

Do not waste time in calculating..
look at the similarity in all choices- they all EXCEPT E are of type $$\frac{x}{2x-1}$$...
and $$\frac{x}{2x-1}$$ for an integer x is always >1/2 and will become lesser in value , that is will keep getting closer to 1/2 with higher VALUE of x..

you can check in two ways-
1) for x as 1 or 2 or 3..
x=1, $$\frac{x}{2x-1}$$ = 1..
x=2, $$\frac{x}{2x-1}$$ = 2/3..
x=3, $$\frac{x}{2x-1}$$ = 3/5..
so each successive value is smaller than previous one..

2) simplify the term..- IMPORTANT
$$\frac{x}{2x-1}$$=$$\frac{1}{(2x-1)/x}$$ = $$\frac{1}{(2x/x-1/x)}$$ = $$\frac{1}{(2-1/x)}$$
so the denominator should be closer to 2 so $$2-\frac{1}{x}$$ should be close to 2, and therefore x should be MAX to make $$\frac{1}{x}$$ less

Therefore, here 7 is the highest value in the four choices so D is the closest to 1/2.

lets see E... It is the TYPE $$\frac{x}{2(x-1)}$$... clearly since 7 and 9 are close to each other but denominator in E is reduced by a larger number,

Fantastic Explanation. I wish I could give you 2 Kudos.

thank you
_________________
Manager
Joined: 03 Jan 2017
Posts: 134
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

11 Mar 2017, 13:16
6
I approached it in this way:
1/2, each of the answer choices is 1/2 + something, so: 0,5/7, 0,5/9, 0,5/11, 0,5/13, 1/16=0,5/8, the smallest is 0,5/13
Hence D
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4065
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

10 Jan 2018, 12:49
6
Top Contributor
1
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?

A) $$\frac{4}{7}$$

B) $$\frac{5}{9}$$

C) $$\frac{6}{11}$$

D) $$\frac{7}{13}$$

E) $$\frac{9}{16}$$

OG 2017 New Question

A) 4/7
3.5/7 = 1/2. So, 4/7 is 0.5/7 away from 1/2
Since 0.5/7 = 1/14, we can say that 4/7 is 1/14 away from 1/2

B) 5/9
4.5/9 = 1/2. So, 5/9 is 0.5/9 away from 1/2
Since 0.5/9 = 1/18, we can say that 5/9 is 1/18 away from 1/2

C) 6/11
Using the same logic, we can say that 6/11 is 1/22 away from 1/2

D) 7/13
Likewise, 7/13 is 1/26 away from 1/2

E) 9/16
And 9/16 is 1/16 away from 1/2

Of the BLUE fractions, 1/26 is the SMALLEST
So, the correct answer is D

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Senior Manager
Joined: 09 Mar 2017
Posts: 485
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

21 Mar 2017, 09:31
3
RichaChampion wrote:
chetan2u wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

Hi,

Do not waste time in calculating..
look at the similarity in all choices- they all EXCEPT E are of type $$\frac{x}{2x-1}$$...
and $$\frac{x}{2x-1}$$ for an integer x is always >1/2 and will become lesser in value , that is will keep getting closer to 1/2 with higher VALUE of x..

you can check in two ways-
1) for x as 1 or 2 or 3..
x=1, $$\frac{x}{2x-1}$$ = 1..
x=2, $$\frac{x}{2x-1}$$ = 2/3..
x=3, $$\frac{x}{2x-1}$$ = 3/5..
so each successive value is smaller than previous one..

2) simplify the term..- IMPORTANT
$$\frac{x}{2x-1}$$=$$\frac{1}{(2x-1)/x}$$ = $$\frac{1}{(2x/x-1/x)}$$ = $$\frac{1}{(2-1/x)}$$
so the denominator should be closer to 2 so $$2-\frac{1}{x}$$ should be close to 2, and therefore x should be MAX to make $$\frac{1}{x}$$ less

Therefore, here 7 is the highest value in the four choices so D is the closest to 1/2.

lets see E... It is the TYPE $$\frac{x}{2(x-1)}$$... clearly since 7 and 9 are close to each other but denominator in E is reduced by a larger number,

Fantastic Explanation. I wish I could give you 2 Kudos.

Kudos for your concept! You made me write my first comment in gmatclub!!
_________________
------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq
Manager
Joined: 28 Sep 2013
Posts: 80
GMAT 1: 740 Q51 V39
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

01 Aug 2016, 16:30
2
1
1
chetan2u wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

Hi,

Do not waste time in calculating..
look at the similarity in all choices- they all EXCEPT E are of type $$\frac{x}{2x-1}$$...
and $$\frac{x}{2x-1}$$ for an integer x is always >1/2 and will become lesser in value , that is will keep getting closer to 1/2 with higher VALUE of x..

you can check in two ways-
1) for x as 1 or 2 or 3..
x=1, $$\frac{x}{2x-1}$$ = 1..
x=2, $$\frac{x}{2x-1}$$ = 2/3..
x=3, $$\frac{x}{2x-1}$$ = 3/5..
so each successive value is smaller than previous one..

2) simplify the term..- IMPORTANT
$$\frac{x}{2x-1}$$=$$\frac{1}{(2x-1)/x}$$ = $$\frac{1}{(2x/x-1/x)}$$ = $$\frac{1}{(2-1/x)}$$
so the denominator should be closer to 2 so $$2-\frac{1}{x}$$ should be close to 2, and therefore x should be MAX to make $$\frac{1}{x}$$ less

Therefore, here 7 is the highest value in the four choices so D is the closest to 1/2.

lets see E... It is the TYPE $$\frac{x}{2(x-1)}$$... clearly since 7 and 9 are close to each other but denominator in E is reduced by a larger number,

Fantastic Explanation. I wish I could give you 2 Kudos.
_________________
Richa Champion | My GMAT Journey - 470 720 740

Target 760+

Not Improving after Multiple attempts. I can guide You.
Contact me richacrunch2@gmail.com
Intern
Joined: 01 Nov 2015
Posts: 2
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

24 Feb 2017, 12:13
2
I simply thought of fractions as pieces of pie.
I want 1/2 of pie. What is the closest to that? I estimate that most of the fractions are close to 1/2.
If I divide pie in 7 parts and take 4 I will get less then if I divide pie in 13 parts and take 7. So I picked D.
Intern
Joined: 17 Nov 2017
Posts: 2
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

17 Nov 2017, 04:09
2
There are 4 ways to solve the problem (Which is also basically a summary to above explanations):
1. Calculate the decimal and find the answer: This should be used when the numbers are small or calculation is easy.
2. Subtract the number (1/2 in this case) one by one with all the options to find the distance between those numbers, the smallest value would mean the closest number. (My favorite)
3. Use algebra to solve the arithmetic: To be used cautiously after identifying the pattern enabling algebraic equation formation.
4. Divide the options with the given number to see which number is closest to 1 (1 because we will also be dividing the given number, 1/2 in this case, to the same number)
Intern
Joined: 01 Jun 2013
Posts: 8
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

13 Mar 2017, 10:02
1
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

there is one property:
If factor (suppose a/b) is between zero and one then, (a/b)<((a+1)/b+1))<((a+2)/b+2))<........<1
Means if we add one in numerator and denominator it will tend toward 1.

Now come to questiom
if we divide 1/2 by all answer choices one by one, The no. which will be closer to 1/2, will give no. closer to 1 once divided by option choices.

1.) 7/8
2.)9/10
3.)11/12
4.) 13/14
5.)16/18=8/9

So 13/14 is relatively closer to 1, hence, answer will be option (d)
Current Student
Joined: 01 Dec 2016
Posts: 102
Concentration: Finance, Entrepreneurship
GMAT 1: 650 Q47 V34
WE: Investment Banking (Investment Banking)
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

21 Mar 2017, 23:35
1
Sometimes it is easier to go directly with calculation instead of try with equations.

(1/2) - each option. In less than 2 minutes you will find that the smallest difference is (1/2) - (7/13)
_________________
What was previously considered impossible is now obvious reality.
In the past, people used to open doors with their hands. Today, doors open "by magic" when people approach them
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9788
Location: Pune, India
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

21 Apr 2019, 22:36
1
MBA20 wrote:
ScottTargetTestPrep wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2.

A) 4/7

4/7 - 1/2 = 8/14 - 7/14 = 1/14

B) 5/9

5/9 - 1/2 = 10/18 - 9/18 = 1/18

C) 6/11

6/11 - 1/2 = 12/22 - 11/22 = 1/22

D) 7/13

7/13 - 1/2 = 14/26 - 13/26 = 1/26

E) 9/16

9/16 - 1/2 = 9/16 - 8/16 = 1/16

Since 1/26 is closest to zero, 7/13 is closest to 1/2.

ScottTargetTestPrep /VeritasKarishma. Kindly help. If the Options include the following three:

1. 5/11
2. 50/99
3. 50/101.

Then with the above approach I am getting two negative values (For 1 and 3). Should I ignore the negative sign and focus on largest denominator ? So that the largest denominator can be the ans.

Closest to 1/2 could be slightly less than 1/2 or slightly more than 1/2. When you subtract 1/2, the number slightly less than 1/2 will become negative. Still, we need to be as close to 0 as possible i.e. distance from 0 to be as small as possible. Basically, the absolute value of the number obtained should be as small as possible. So you ignore the sign you get and focus on just the absolute value. It should be smallest (with same numerator, the denominator should be greatest).
_________________
Karishma
Veritas Prep GMAT Instructor

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8412
Location: United States (CA)
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

23 Apr 2019, 16:05
1
MBA20 wrote:
ScottTargetTestPrep wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2.

A) 4/7

4/7 - 1/2 = 8/14 - 7/14 = 1/14

B) 5/9

5/9 - 1/2 = 10/18 - 9/18 = 1/18

C) 6/11

6/11 - 1/2 = 12/22 - 11/22 = 1/22

D) 7/13

7/13 - 1/2 = 14/26 - 13/26 = 1/26

E) 9/16

9/16 - 1/2 = 9/16 - 8/16 = 1/16

Since 1/26 is closest to zero, 7/13 is closest to 1/2.

ScottTargetTestPrep /VeritasKarishma. Kindly help. If the Options include the following three:

1. 5/11
2. 50/99
3. 50/101.

Then with the above approach I am getting two negative values (For 1 and 3). Should I ignore the negative sign and focus on largest denominator ? So that the largest denominator can be the ans.

In the original example, all the given answer choices were greater than 1/2; that’s why we didn’t bother with absolute values and just subtracted 1/2 from each answer choice. In reality, if some of the answer choices were greater than 1/2 and some were less, we would compare the absolute value of the difference of the numbers and 1/2. The reason for that has to do with distances on the real number line; the distance between two real numbers is the absolute value of their difference. So, for the numbers you provided, you should compare the absolute values of the distances and take the one closest to zero. Another way of saying that is for the ones greater than 1/2, subtract 1/2 and for the ones less than 1/2, subtract those numbers from 1/2.
_________________

# 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.

Intern
Joined: 07 Sep 2016
Posts: 29
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

15 Jun 2017, 21:32
Swat824 wrote:
Any simple and quick method to calculate?

How I picked the correct answer in 1 min is :

Qn> 1/2

Ans>
1. 1/1/75
2. 1/1.8
3. 1/1.83
4. 1/1.85
5. 1/1.7

Among all 1.85 is closest to 1/2 hence D is answer .
Manager
Joined: 21 Oct 2017
Posts: 79
Location: France
Concentration: Entrepreneurship, Technology
GMAT 1: 750 Q48 V44
GPA: 4
WE: Project Management (Internet and New Media)
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

14 Nov 2017, 20:25
chetan2u wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

OG 2017 New Question

Hi,

Do not waste time in calculating..
look at the similarity in all choices- they all EXCEPT E are of type $$\frac{x}{2x-1}$$...
and $$\frac{x}{2x-1}$$ for an integer x is always >1/2 and will become lesser in value , that is will keep getting closer to 1/2 with higher VALUE of x..

you can check in two ways-
1) for x as 1 or 2 or 3..
x=1, $$\frac{x}{2x-1}$$ = 1..
x=2, $$\frac{x}{2x-1}$$ = 2/3..
x=3, $$\frac{x}{2x-1}$$ = 3/5..
so each successive value is smaller than previous one..

2) simplify the term..- IMPORTANT
$$\frac{x}{2x-1}$$=$$\frac{1}{(2x-1)/x}$$ = $$\frac{1}{(2x/x-1/x)}$$ = $$\frac{1}{(2-1/x)}$$
so the denominator should be closer to 2 so $$2-\frac{1}{x}$$ should be close to 2, and therefore x should be MAX to make $$\frac{1}{x}$$ less

Therefore, here 7 is the highest value in the four choices so D is the closest to 1/2.

lets see E... It is the TYPE $$\frac{x}{2(x-1)}$$... clearly since 7 and 9 are close to each other but denominator in E is reduced by a larger number,

Could you please clarify how you deal with A/C E using the first method you proposed?

Thanks!
_________________
Please Press +1 Kudos if it helps!

October 9th, 2017: Diagnostic Exam - Admit Master (GoGMAT) - 640
November 11th, 2017: CAT 1 - Admit Master (GoGMAT) - 700
November 20th, 2017: CAT 2 - GMATPrep - 700 (Q: 47, V: 40)
November 25th, 2017: CAT 3 - Admit Master (GoGMAT) - 710 (Q: 48, V: 40)
November 27th, 2017: CAT 4 - GMATPrep - 720 (Q: 49, V: 40)

December 4th, 2017: GMAT Exam - 750 (Q: 48, V: 44, IR: 8, AWA: 6)
Intern
Joined: 10 Jul 2017
Posts: 1
Re: Which of the following fractions is closest to 1/2?  [#permalink]

### Show Tags

16 Nov 2017, 23:08
ScottTargetTestPrep wrote:
AbdurRakib wrote:
Which of the following fractions is closest to $$\frac{1}{2}$$?
A) $$\frac{4}{7}$$
B) $$\frac{5}{9}$$
C) $$\frac{6}{11}$$
D) $$\frac{7}{13}$$
E) $$\frac{9}{16}$$

To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2.

A) 4/7

4/7 - 1/2 = 8/14 - 7/14 = 1/14

B) 5/9

5/9 - 1/2 = 10/18 - 9/18 = 1/18

C) 6/11

6/11 - 1/2 = 12/22 - 11/22 = 1/22

D) 7/13

7/13 - 1/2 = 14/26 - 13/26 = 1/26

E) 9/16

9/16 - 1/2 = 9/16 - 8/16 = 1/16

Since 1/26 is closest to zero, 7/13 is closest to 1/2.

0

How do we know those closest to zero. Can you illustrate with a diagram please? Thanks

Sent from my SAMSUNG-SM-G920A using GMAT Club Forum mobile app
Re: Which of the following fractions is closest to 1/2?   [#permalink] 16 Nov 2017, 23:08

Go to page    1   2    Next  [ 27 posts ]

Display posts from previous: Sort by