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Which is greater -3/4+2/3 or -3/4*2/3

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Carcass
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Which is greater -3/4+2/3 or -3/4*2/3 [#permalink] New post   10 Jul 2019, 14:25
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D

Question Stats:

74% (00:42) correct 25% (00:34) wrong based on 104 sessions

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Quantity A
Quantity B
−34+23
−34×23


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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A
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GreenlightTestPrep
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Re: Which is greater -3/4+2/3 or -3/4*2/3 [#permalink] New post   10 Jul 2019, 15:19
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Carcass wrote:
Quantity A
Quantity B
−34+23
−34×23


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Quantity A: −34+23=−34+23

=−912+812

=(−9)+812

=−112



Quantity B: −34×23=−34×23

=−612


Since −612<−112, the answer is A

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Brent
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HarishKumar
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Which is greater -3/4+2/3 or -3/4*2/3 [#permalink] New post   26 Feb 2024, 21:48
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Another way of doing this is to convert them to percentages.

Quantity A

−34+23

-75% + 66% (approx) (exact value = 66.6666%)

-9% (approx) (exact value = 8.33333%)

Quantity B

−34×23

-75% x 2/3

Since 75% consists of three 25%s, 2/3 of 75% would be 50%

-75% x 2/3 = -50%

Quantity A = -9%
Quantity B = -50%

Quantity A is greatest.
Prep Club for GRE Bot
gmatclubot
Which is greater -3/4+2/3 or -3/4*2/3 [#permalink]
26 Feb 2024, 21:48
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