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.
The ratio of 2/5 of 4 to 4/3 of 5 is equal to the following ratio
[#permalink]
19 Dec 2022, 15:04
19 Dec 2022, 15:04
Expert Reply
1
Bookmarks
00:00
Question Stats:
88% (00:57) correct
11% (01:12) wrong based on 18 sessions
Hide Show timer Statistics
The ratio of 2/5 of 4 to 4/3 of 5 is equal to the following ratio
(A) 16 t o 3
(B) 2 to 3
(C) 6 to 25
(D) 8 to 15
(E) 6 to 1
(A) 16 t o 3
(B) 2 to 3
(C) 6 to 25
(D) 8 to 15
(E) 6 to 1
The ratio of 2/5 of 4 to 4/3 of 5 is equal to the following ratio
[#permalink]
27 Jan 2024, 01:29
27 Jan 2024, 01:29
1
Another way is to multiply the top and bottom fractions with the LCM of the denominator of the top and bottom fractions. The LCM of 5 and 3 is 15. So we get
\(\dfrac{\frac{2}{5} \times 15 \times 4}{\frac{4}{3} \times 15 \times 5}\)
this enables us to get rid of the denominators in both fractions, greatly simplifying the calculations
\(\dfrac{2 \times 3 \times 4}{4 \times 5 \times 5}\)
\(\dfrac{2 \times 3}{5 \times 5}\)
\(\dfrac{6}{25}\)
\(\dfrac{\frac{2}{5} \times 15 \times 4}{\frac{4}{3} \times 15 \times 5}\)
this enables us to get rid of the denominators in both fractions, greatly simplifying the calculations
\(\dfrac{2 \times 3 \times 4}{4 \times 5 \times 5}\)
\(\dfrac{2 \times 3}{5 \times 5}\)
\(\dfrac{6}{25}\)
General Discussion
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: The ratio of 2/5 of 4 to 4/3 of 5 is equal to the following ratio
[#permalink]
22 Dec 2022, 05:34
22 Dec 2022, 05:34
1
Expert Reply
Carcass wrote:
The ratio of 2/5 of 4 to 4/3 of 5 is equal to the following ratio
(A) 16 t o 3
(B) 2 to 3
(C) 6 to 25
(D) 8 to 15
(E) 6 to 1
(A) 16 t o 3
(B) 2 to 3
(C) 6 to 25
(D) 8 to 15
(E) 6 to 1
Of means multiply, lets translate the statement into maths
The ratio of 2/5 of 4 to 4/3 of 5 is equal to the following ratio
2/5*4 : 4/3*5 =?
8/5: 20/3
Approximate the values
8/5 roughly equals 1.5 and 20/3 equals 7
Hence
1.5:7 or 3:14 find a ratio that equals or most near 3:14
Only C fits
Answer: C
