GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Compare the fraction
[#permalink]
26 Dec 2016, 16:32
26 Dec 2016, 16:32
3
Expert Reply
00:00
Question Stats:
80% (01:08) correct
19% (01:03) wrong based on 120 sessions
Hide Show timer Statistics
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
Question: 3
Page: 310
Re: Compare the fraction
[#permalink]
26 Dec 2016, 16:48
26 Dec 2016, 16:48
4
Expert Reply
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.
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Compare the fraction
[#permalink]
27 Jan 2017, 13:56
27 Jan 2017, 13:56
2
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
Answer: B
