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

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1-(1/2-2/3)=  [#permalink]

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New post 24 Sep 2012, 03:59
1
6
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:31) correct 12% (00:34) wrong based on 1389 sessions

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Re: 1-(1/2-2/3)=  [#permalink]

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New post 24 Sep 2012, 03:59
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Re: 1-(1/2-2/3)=  [#permalink]

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New post 24 Sep 2012, 04:11
1
1-(-1/6) = 7/6

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

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New post 24 Sep 2012, 07:36
1
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]

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New post 24 Sep 2012, 09:27
2
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]

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New post 24 Sep 2012, 09:47
1
1-(-1/6)
= 1+1/6
=7/6
Ans (B)
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Re: 1-(1/2-2/3)=  [#permalink]

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New post 28 Sep 2012, 03:36
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.

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Re: 1-(1/2-2/3)=  [#permalink]

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New post 22 Oct 2013, 13:59
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.
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Re: 1-(1/2-2/3)=  [#permalink]

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New post 10 Sep 2014, 08:20
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]

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New post 10 Sep 2014, 09:19
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]

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New post 10 Sep 2014, 19:02
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]

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New post 30 May 2016, 04:18
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]

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New post 27 Jan 2018, 06:26
1
1-(1/2 - 2/3) ==> 1+(1/6) ==> 7/6
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1-(1/2-2/3)=  [#permalink]

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New post 27 Jul 2018, 09:44
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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1-(1/2-2/3)= &nbs [#permalink] 27 Jul 2018, 09:44
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