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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]  18 Mar 2018, 09:55
Expert's post
00:00

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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Sherpa Prep Representative
Joined: 15 Jan 2018
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GMAT 1: Q V
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Kudos [?]: 240 [1] , given: 0

Re: 1- 1/27 [#permalink]  04 Apr 2018, 04:19
1
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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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GRE Instructor
Joined: 10 Apr 2015
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Kudos [?]: 4499 [1] , given: 69

Re: 1- 1/27 [#permalink]  02 May 2018, 07:09
1
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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

Cheers,
Brent
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Manager
Joined: 26 Jan 2018
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GRE 1: Q165 V156
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Kudos [?]: 132 [0], given: 3

Re: 1- 1/27 [#permalink]  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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