It is currently 20 Oct 2017, 15:00

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# 1/2 + [(2/3 * 3/8)/4] - 9/16 =

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3469 [1], given: 0

1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

07 Dec 2012, 06:03
1
KUDOS
5
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

81% (00:51) correct 19% (00:57) wrong based on 974 sessions

### HideShow timer Statistics

$$\frac{1}{2} +\frac{\frac{2}{3} *\frac{3}{8}}{4} - \frac{9}{16}$$.

(A) 29/16
(B) 19/16
(C) 15/16
(D) 9/13
(E) 0
[Reveal] Spoiler: OA

Kudos [?]: 3469 [1], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129029 [0], given: 12187

Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

07 Dec 2012, 06:08
1/2 + [(2/3 * 3/8)/4] - 9/16 =

(A) 29/16
(B) 19/16
(C) 15/16
(D) 9/13
(E) 0

$$\frac{1}{2} +\frac{\frac{2}{3} *\frac{3}{8}}{4} - \frac{9}{16} =\frac{1}{2}+\frac{1}{16}-\frac{9}{16}=\frac{8}{16}+\frac{1}{16}-\frac{9}{16}=0$$.

_________________

Kudos [?]: 129029 [0], given: 12187

Senior Manager
Joined: 13 Aug 2012
Posts: 458

Kudos [?]: 541 [0], given: 11

Concentration: Marketing, Finance
GPA: 3.23
Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

18 Dec 2012, 23:28
I love it when you get 0 in the GMAT.

$$1/2 + (2/3)(3/8)(1/4) - 9/16 = 1/2 - 1/16 - 9/16 = 1/2 - 8/16 = 1/2-1/2=0$$

_________________

Impossible is nothing to God.

Kudos [?]: 541 [0], given: 11

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16636

Kudos [?]: 273 [0], given: 0

Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

04 Oct 2015, 16:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1648

Kudos [?]: 842 [0], given: 3

Location: United States (CA)
Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

09 Jun 2016, 14:01
1/2 + [(2/3 * 3/8)/4] - 9/16 =

(A) 29/16
(B) 19/16
(C) 15/16
(D) 9/13
(E) 0

We need to simplify the expression using PEMDAS.

Parentheses
Exponents
Multiplication and Division

The calculation of an equation or expression must be carried out in the following order:

1) Operations within parentheses (or absolute value bars or radicals)
2) Exponents
3) Multiplication and division from left to right
4) Addition and subtraction from left to right

The answer is E.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 842 [0], given: 3

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16636

Kudos [?]: 273 [0], given: 0

Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

12 Jun 2017, 09:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

Director
Joined: 02 Sep 2016
Posts: 776

Kudos [?]: 41 [0], given: 267

Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

21 Sep 2017, 22:46
Bunuel what difference does it make if we do not follow PEMDAS rule for addition?

For example:
1/2+1/16-9/16
= 1/2-8/16
=0

Or

1/2+1/16-9/16
= (8+1-9)/16
=Still 0
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Kudos [?]: 41 [0], given: 267

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129029 [0], given: 12187

Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 = [#permalink]

### Show Tags

21 Sep 2017, 23:29
Shiv2016 wrote:
Bunuel what difference does it make if we do not follow PEMDAS rule for addition?

For example:
1/2+1/16-9/16
= 1/2-8/16
=0

Or

1/2+1/16-9/16
= (8+1-9)/16
=Still 0

Neither of those violates any rule and both are correct:

$$\frac{1}{2}+\frac{1}{16}-\frac{9}{16}$$

You can treat it as $$(\frac{1}{2}+\frac{1}{16})-\frac{9}{16}$$ or $$\frac{1}{2}+(\frac{1}{16}-\frac{9}{16})$$ or $$(\frac{1}{2}-\frac{9}{16})+\frac{1}{16}$$. This is because of commutative law, which says that any finite sum (or product) is unaltered by reordering its terms or factors. Simply put a + b = b + a and ab = ba.

Of course yo can simply transform all fractions having the same common denominator and proceed: $$\frac{8+1-9}{16}$$.

Check for more HERE.

Hope it helps.
_________________

Kudos [?]: 129029 [0], given: 12187

Re: 1/2 + [(2/3 * 3/8)/4] - 9/16 =   [#permalink] 21 Sep 2017, 23:29
Display posts from previous: Sort by

# 1/2 + [(2/3 * 3/8)/4] - 9/16 =

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.