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1- 1/27 or 8/9+1/81

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1- 1/27 or 8/9+1/81 [#permalink] New post 18 Mar 2018, 09:55
Expert's post
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Question Stats:

87% (00:37) correct 12% (00:47) wrong based on 96 sessions
Quantity A
Quantity B
\(1 - \frac{1}{27}\)
\(\frac{8}{9} +\) \(\frac{1}{81}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: 1- 1/27 [#permalink] New post 04 Apr 2018, 04:19
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Expert's post
Notice that every denominator is a power of 3: 27, 9, and 81. So it should be easy to make a common denominator in all fractions. Let's make it 81.

Quantity A can therefore be rewritten as 81/81 - 3/81, giving us 78/81.

Quantity B can be rewritten as 72/81 + 1/81, giving us 73/81.

Thus, A is larger.
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Re: 1- 1/27 [#permalink] New post 02 May 2018, 07:09
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Expert's post
Carcass wrote:
Quantity A
Quantity B
\(1 - \frac{1}{27}\)
\(\frac{8}{9} +\) \(\frac{1}{81}\)


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


Given:
Quantity A: 1 - 1/27
Quantity B: 8/9 + 1/81

Rewrite all values with a common denominator of 81
We get:
Quantity A: 81/81 - 3/81
Quantity B: 72/81 + 1/81

Simplify to get:
Quantity A: 78/81
Quantity B: 73/81

Answer: A

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
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Re: 1- 1/27 [#permalink] New post 11 May 2018, 18:41
Using common denominator or directly using calculator we would get the answer
Re: 1- 1/27   [#permalink] 11 May 2018, 18:41
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1- 1/27 or 8/9+1/81

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