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# 1/(1+1/3)-1/(1+1/2)

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Math Expert
Joined: 02 Sep 2009
Posts: 60515

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26 Aug 2012, 02:59
2
12
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:43) correct 7% (01:07) wrong based on 1752 sessions

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$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}}$$

(A) -1/3
(B) -1/6
(C) -1/12
(D) 1/12
(E) 1/3

Practice Questions
Question: 27
Page: 155
Difficulty: 550

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Math Expert
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26 Aug 2012, 02:59
1
1
SOLUTION:

$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}}$$

(A) -1/3
(B) -1/6
(C) -1/12
(D) 1/12
(E) 1/3

$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}}=\frac{1}{(\frac{4}{3})}-\frac{1}{(\frac{3}{2})}=\frac{3}{4}-\frac{2}{3}=\frac{1}{12}$$.

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26 Aug 2012, 08:22
By taking the LCM and taking the reciprocals-

3/4-2/3=1/12
Intern
Joined: 21 Apr 2010
Posts: 7

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27 Aug 2012, 11:07
Ans = (3/4) - (2/3) = 1/12
Intern
Joined: 28 Aug 2012
Posts: 4

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28 Aug 2012, 04:10

3/4 - 2/3 = 1/12
Senior Manager
Joined: 06 Aug 2011
Posts: 316

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28 Aug 2012, 08:28
bunuel.. i think difficulty level shud be 500 or below 500..

its 1/12.. person shud knw the 1+1/3 = 4/3.. by not taking LCM because that will waste ur time..
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Math Expert
Joined: 02 Sep 2009
Posts: 60515

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31 Aug 2012, 01:53
SOLUTION:

$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}}$$

(A) -1/3
(B) -1/6
(C) -1/12
(D) 1/12
(E) 1/3

$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}}=\frac{1}{(\frac{4}{3})}-\frac{1}{(\frac{3}{2})}=\frac{3}{4}-\frac{2}{3}=\frac{1}{12}$$.

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10 May 2016, 18:18
2
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-10 at 5.50.27 PM.png [ 75.73 KiB | Viewed 24722 times ]

Intern
Joined: 10 May 2016
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11 May 2016, 02:59
1/(4/3)-1/(3/2)= 3/4- 2/3= 9-8/12=1/12
SVP
Joined: 03 Jun 2019
Posts: 1939
Location: India
GMAT 1: 690 Q50 V34

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16 Sep 2019, 09:37
Bunuel wrote:
$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}}$$

(A) -1/3
(B) -1/6
(C) -1/12
(D) 1/12
(E) 1/3

Practice Questions
Question: 27
Page: 155
Difficulty: 550

$$\frac{1}{1+\frac{1}{3}}-\frac{1}{1+\frac{1}{2}} = \frac{3}{4} - \frac{2}{3} = \frac{9 -8}{12} = \frac{1}{12}$$

IMO D
Re: 1/(1+1/3)-1/(1+1/2)   [#permalink] 16 Sep 2019, 09:37
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