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.
1/3/4/5 or 1/3*4/5
[#permalink]
18 Dec 2022, 11:36
18 Dec 2022, 11:36
Expert Reply
00:00
Question Stats:
82% (00:33) correct
17% (00:17) wrong based on 35 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
\(\frac{\frac{1}{3}}{\frac{4}{5}}\) |
\(\frac{ 1}{3} * \frac{4}{5 }\) |
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.
Re: 1/4/4/5 or 1/3*4/5
[#permalink]
20 Dec 2022, 05:00
20 Dec 2022, 05:00
Expert Reply
\(A = \frac{1}{3} * \frac{5}{4 }= \frac{5}{12}\)
\(B = \frac{1}{3} * \frac{4}{5}= \frac{4}{15
}\)
\(\frac{5}{12} * \frac{4}{15 }
\)
Find a common denominator
\(\frac{5}{12}=\frac{25}{60}\)
\(\frac{4}{15}=\frac{16}{60}\)
\(25>16\)
A is greater
\(B = \frac{1}{3} * \frac{4}{5}= \frac{4}{15
}\)
\(\frac{5}{12} * \frac{4}{15 }
\)
Find a common denominator
\(\frac{5}{12}=\frac{25}{60}\)
\(\frac{4}{15}=\frac{16}{60}\)
\(25>16\)
A is greater
1/3/4/5 or 1/3*4/5
[#permalink]
09 Jan 2024, 21:29
09 Jan 2024, 21:29
1
The basic concept is any fraction or integer multiplied by a fraction gives a smaller number. But any fraction or integer divided by a fraction gives a larger number.
Thus
\(\dfrac{\frac{1}{3}}{\frac{4}{5}} > \frac{1}{3} \times \frac{4}{5}\)
Thus
\(\dfrac{\frac{1}{3}}{\frac{4}{5}} > \frac{1}{3} \times \frac{4}{5}\)
