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# Compare the fraction

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [1] , given: 396

Compare the fraction [#permalink]  26 Dec 2016, 16:32
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00:00

Question Stats:

84% (01:06) correct 15% (01:16) wrong based on 19 sessions
 Quantity A Quantity B 15/16 + 1/256 1 - 1/64

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.

Drill 1
Question: 3
Page: 310
[Reveal] Spoiler: OA

_________________

Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [2] , given: 396

Re: Compare the fraction [#permalink]  26 Dec 2016, 16:48
2
KUDOS
Expert's post
Explanation

In Quantity A, $$\frac{15}{16}+\frac{1}{256}=\frac{241}{256}$$,

and in Quantity B, $$1-\frac{1}{64}=\frac{63}{64}$$. If you multiply the numerator and denominator of $$\frac{63}{64}$$ by 4, you obtain a common denominator: $$\frac{63}{64}=\frac{252}{256}$$.

Clearly $$\frac{252}{256} > \frac{241}{256}$$, so Quantity B is greater.
_________________

Sandy
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GRE Instructor
Joined: 10 Apr 2015
Posts: 1238
Followers: 46

Kudos [?]: 1126 [1] , given: 7

Re: Compare the fraction [#permalink]  27 Jan 2017, 13:56
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Expert's post
sandy wrote:
 Quantity A Quantity B 15/16 + 1/256 1 - 1/64

Quantity A: 15/16 + 1/256
Quantity B: 1 - 1/64

I want to add 1/64 to both quantities (you'll see why shortly). So, let's first rewrite 15/16 as 60/64 to get:
Quantity A: 60/64 + 1/256
Quantity B: 1 - 1/64

Add 1/64 to both quantities to get:
Quantity A: 61/64 + 1/256
Quantity B: 1

Let's apply some number sense
If we were to add 1/64 to 61/64, we'd get 62/64, which is less than 1.
Since 1/256 is LESS THAN 1/64, we can conclude that 61/64 + 1/256 = some number that's less than 1

So, we have:
Quantity A: some number that's less than 1
Quantity B: 1

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: Compare the fraction   [#permalink] 27 Jan 2017, 13:56
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