1-(1/2-2/3)= : Problem Solving (PS)

dexerash

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Re: 1-(1/2-2/3)= [#permalink]

24 Sep 2012, 08:36

1

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Here we should solve the expression within the bracket

1/2 - 2/3 = (3 - 4)/6 (by taking LCM of denominator) =-1/7

So, the overall expression becomes: 1 - (-1/7) = 1 + 1/6= 7/6

Hence B

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Re: 1-(1/2-2/3)= [#permalink]

24 Sep 2012, 10:16

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The answer is B but is a 300-500 level question not 600, in my opinion.

Great thread

the OG 13th

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Re: 1-(1/2-2/3)= [#permalink]

24 Sep 2012, 10:27

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Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

Practice Questions
Question: 48
Page: 158
Difficulty: 600

\(1-(\frac{1}{2}-\frac{2}{3})=1-\frac{1}{2}+\frac{2}{3}=\frac{1}{2}+\frac{2}{3}\)
The result must be greater than \(1\), so we have to choose between A and B.
Since we have two fractions with \(2\) and \(3\) in the denominator, the final result should be an improper fraction with \(6\) in the denominator.

Hence, answer B.

NB: Even without a calculator on the test, I don't think it would be a problem for anybody. I would say a below 500 level question.
I am just trying to find any type of shortcut for such questions, taking advantage of the multiple choices...really boring to simply add/subtract fractions...

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Re: 1-(1/2-2/3)= [#permalink]

24 Sep 2012, 10:47

1

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1-(-1/6)
= 1+1/6
=7/6
Ans (B)

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Bunuel

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Re: 1-(1/2-2/3)= [#permalink]

28 Sep 2012, 04:36

Expert Reply

SOLUTION

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

\(1-(\frac{1}{2}-\frac{2}{3})=1-(\frac{3}{6}-\frac{4}{6})=1-(-\frac{1}{6})=1+\frac{1}{6}=\frac{7}{6}\).

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.

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Re: 1-(1/2-2/3)= [#permalink]

22 Oct 2013, 14:59

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EvaJager wrote:

Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

Practice Questions
Question: 48
Page: 158
Difficulty: 600

\(1-(\frac{1}{2}-\frac{2}{3})=1-\frac{1}{2}+\frac{2}{3}=\frac{1}{2}+\frac{2}{3}\)
The result must be greater than \(1\), so we have to choose between A and B.
Since we have two fractions with \(2\) and \(3\) in the denominator, the final result should be an improper fraction with \(6\) in the denominator.

Hence, answer B.

NB: Even without a calculator on the test, I don't think it would be a problem for anybody. I would say a below 500 level question.
I am just trying to find any type of shortcut for such questions, taking advantage of the multiple choices...really boring to simply add/subtract fractions...

Eva shortcut is to quickly get rid of 1/2 from 1 which leaves half and 1/2 and 2/3 mentions that the sum is above 1. Now we just multiply denominators look fro 6 in denominator and bingo. only one option.

luckyme17187

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Re: 1-(1/2-2/3)= [#permalink]

10 Sep 2014, 09:20

Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

Practice Questions
Question: 48
Page: 158
Difficulty: 550

(1/2-2/3) = -1/6

1-(-1/6) =7/6

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Re: 1-(1/2-2/3)= [#permalink]

10 Sep 2014, 10:19

1 -(1/2 -2/3)= 1 -(3-4)/6 = 1 + 1/6 =7/6
ans = B

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Re: 1-(1/2-2/3)= [#permalink]

10 Sep 2014, 20:02

Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

\(1-(\frac{1}{2}-\frac{2}{3})= 1 + \frac{2}{3} - \frac{1}{2} = \frac{5}{3} - \frac{1}{2} = \frac{7}{6}\)

Answer = B

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Re: 1-(1/2-2/3)= [#permalink]

30 May 2016, 05:18

Expert Reply

Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

We are given the expression 1 – (1/2 – 2/3), and we need to determine the value. We start by getting a common denominator of 6 for the fractions inside the parentheses. This gives us:

1 – (3/6 – 4/6)

1 – (–1/6) = 1 + 1/6 = 1 1/6 = 7/6

The answer is B.

B

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Re: 1-(1/2-2/3)= [#permalink]

27 Jan 2018, 07:26

1

Kudos

1-(1/2 - 2/3) ==> 1+(1/6) ==> 7/6

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1-(1/2-2/3)= [#permalink]

27 Jul 2018, 10:44

This question can be solved in the ordinary way

However, \(2/3\) > \(1/2\), therefore the expected sign is negative, when it's added to the sign outside the bracket the term become positive, so the answer should be greater than 1

(\(1/2\) - \(2/3\)) is negative because \(2/3\) > \(1/2\)
-(\(1/2\) - \(2/3\)) is positive

1 + (some +ve value)>1

if you looked on the answer choices, the only answer choice greater than 1 is B

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Re: 1-(1/2-2/3)= [#permalink]

16 Sep 2019, 08:02

Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

Practice Questions
Question: 48
Page: 158
Difficulty: 550

\(1-(\frac{1}{2}-\frac{2}{3})= 1 - \frac{(3-4)}{6} = 1 +\frac{1}{6} = \frac{7}{6}\)

IMO B

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Re: 1-(1/2-2/3)= [#permalink]

07 Mar 2022, 13:13

1

Kudos

Hi Scott. I am sorry to bother you. I am a little bit confused. Here I was expecting to add 1 to the fraction that we found because of 1-(-1/6). I didn't seem like we had to multiply 1 by the fraction. In addition how does 1* 1/6 equal 7/6??

ScottTargetTestPrep wrote:

Bunuel wrote:

\(1-(\frac{1}{2}-\frac{2}{3})=\)

(A) 6/5
(B) 7/6
(C) 6/7
(D) 5/6
(E) 0

We are given the expression 1 – (1/2 – 2/3), and we need to determine the value. We start by getting a common denominator of 6 for the fractions inside the parentheses. This gives us:

1 – (3/6 – 4/6)

1 – (–1/6) = 1 + 1/6 = 1 1/6 = 7/6

The answer is B.

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Re: 1-(1/2-2/3)= [#permalink]

29 Oct 2023, 07:46

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Re: 1-(1/2-2/3)= [#permalink]

29 Oct 2023, 07:46

GMAT Problem Solving (PS) Questions

1-(1/2-2/3)=