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

Question

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

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

Bunuel · Answer

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.

fameatop · Answer

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

Answer is B

dexerash · Answer

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

Carcass · Answer

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

the OG 13th

EvaJager · Answer

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...

bhavinshah5685 · Answer

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

Bunuel · Answer

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.

irda · Answer

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 · Answer

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

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

divyakp · Answer

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

PareshGmat · Answer

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

ScottTargetTestPrep · Answer

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.

anshul1989 · Answer

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

NDND · Answer

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

Kinshook · Answer

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

IMO B

CyrilT22 · Answer

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??

ManifestDreamMBA · Answer

It's just mentioned as a mixed fraction

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

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

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615 to 715 in 15 Days (Ria's Strategies)

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