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1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

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1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post Updated on: 23 Jun 2018, 12:02
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\(\frac{1}{3} + \frac{1}{2} - \frac{5}{6} + \frac{1}{5} + \frac{1}{4} - \frac{9}{20} =\)

A. \(0\)

B. \(\frac{2}{15}\)

C. \(\frac{2}{5}\)

D. \(\frac{9}{20}\)

E. \(\frac{5}{6}\)

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Originally posted by Bunuel on 14 Oct 2015, 21:15.
Last edited by carcass on 23 Jun 2018, 12:02, edited 1 time in total.
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 15 Oct 2015, 02:12
4
Even though it could be tempting to find the common denominator (60), and operate, the way the terms are ordered is inviting us to group the first and last three terms -common denominator (6 and 20 respectively)- to operate more easily:

Doing this, we can rewrite the given expression as

\(1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = A + B\), where

\(A = 1/3 +1/2 - 5/6 = 2/6 + 3/6 - 5/6 = 0\)

\(B = 1/5 + 1/4 - 9/20 = 4/20 + 5/20 – 9/20 = 0\)


Thus, \(1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = 0 + 0 = 0\)

Answer: A
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 11 Dec 2015, 03:10
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Remember for addition/subtraction its easier to work with decimals. we all should have these fraction memorized for decimal values-

.33+.5-.83+.2+.25-.45=0
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 11 Apr 2016, 10:39
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 03 May 2016, 08:51
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Bunuel wrote:
1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

A. 0
B. 2/15
C. 2/5
D. 9/20
E. 5/6

Kudos for a correct solution.


Solution:

We need to determine the result of 1/3 + 1/2 - 5/6 + 1/5 + 1/4 - 9/20

Let’s add the given fractions in two groups. In the group of the first three fractions, notice that 1/3 and 1/2 share a common denominator of 6 with 5/6.

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Thus, 5/6 – 5/6 = 0

Looking at the 2nd group of the fractions (1/5, 1/4, and 9/20), notice that 1/5 and 1/4 share a common denominator of 20 with 9/20.

1/5 + 1/4 = 4/20 + 5/20 = 9/20

Thus, 9/20 – 9/20 = 0.

Thus, the result of 1/3 + 1/2 – 5/6 + 1/5 + 1/4 – 9/20 is 0.

Answer: A
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 08 May 2016, 06:02
I got D :(

solved bit by bit
1/3 +1/2 = 5/6 -
5/6+1/5+1/4 = 125/120 -
9/20

100-152-54/120 = -9/20
I know I answered incorrectly, but why did I falter?
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 08 May 2016, 06:24
paidlukkha wrote:
I got D :(

solved bit by bit
1/3 +1/2 = 5/6 -
5/6+1/5+1/4 = 125/120 -
9/20

100-152-54/120 = -9/20
I know I answered incorrectly, but why did I falter?


you are wrong in highlighted portion..
the highlighted portion is -5/6 +1/4+1/2 and you have worked for -(5/6+1/4+1/2)..
..
You can add all those with - sign together , here -(5/6+9/20)..
and all those with +sign...
- sign before 5/6 is ONLY for 5/6 and not for all terms after that..
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 08 May 2016, 06:29
chetan2u wrote:
paidlukkha wrote:
I got D :(

solved bit by bit
1/3 +1/2 = 5/6 -
5/6+1/5+1/4 = 125/120 -
9/20

100-152-54/120 = -9/20
I know I answered incorrectly, but why did I falter?


you are wrong in highlighted portion..
the highlighted portion is -5/6 +1/4+1/2 and you have worked for -(5/6+1/4+1/2)..
..
You can add all those with - sign together , here -(5/6+9/20)..
and all those with +sign...
- sign before 5/6 is ONLY for 5/6 and not for all terms after that..



every time I have this bracket issue :(
Which topic should I revise?

also for x(sq)=36, so x = 6/-6
but underroot 36, in GMAT is only 6 & -6 is not valid :( :( :(
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 08 May 2016, 06:32
paidlukkha wrote:
I got D :(

solved bit by bit
1/3 +1/2 = 5/6 -
5/6+1/5+1/4 = 125/120 -
9/20

100-152-54/120 = -9/20
I know I answered incorrectly, but why did I falter?


Ok , Would like to highlight the same here -

1/3 +1/2 = 5/6 - 5/6 => 0

1/5+1/4 = 9/20 -9/20 => 0

There is something interesting to notice here

(1/3 +1/2 - 5/6 ) + (1/5 + 1/4 - 9/20)

(5/6 - 5/6 ) + (9/20 - 9/20)


The red highlighted part is the sum of its previous terms and is -ve that makes the result zero..

Hope this helps !! :-D
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 08 May 2016, 08:59
1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20

I found it easy to solve by taking LCM (Fractions always look nasty to me :P)

20+30 -50 +12 +15 -27/60

Just by looking at the numerator I figured out that answer will be '0'
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =  [#permalink]

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New post 28 Aug 2017, 09:24
Bunuel wrote:
1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 =

A. 0
B. 2/15
C. 2/5
D. 9/20
E. 5/6

Kudos for a correct solution.


- Find the LCM for denominator --> we find 60.
- Convert all of the fraction into 60 in denominator --> \(\frac{(1*20)+(1*30)-(5*10)+(1*12)+(1*15)-(9*3)}{60}\) --> All of numerator cancelled out, so we can write it \(\frac{0}{60}\) which is 0.

A.
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Re: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 = &nbs [#permalink] 28 Aug 2017, 09:24
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