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What is the ratio of 3/4 to the product 4(3/4)?

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Math Expert

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What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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14 Jan 2014, 00:11

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the ratio of 3/4 to the product 4(3/4)?

(A) 1/4
(B) 1/3
(C) 4/9
(D) 9/4
(E) 4

Problem Solving
Question: 39
Category: Arithmetic Operations on rational numbers
Page: 66
Difficulty: 500

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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14 Jan 2014, 00:11

SOLUTION

What is the ratio of 3/4 to the product 4(3/4)?

(A) 1/4
(B) 1/3
(C) 4/9
(D) 9/4
(E) 4

$4*\frac{3}{4} = 3$. Therefore the ratio is $\frac{(\frac{3}{4})}{3} = \frac{3}{4}*\frac{1}{3} = \frac{1}{4}$.

Answer: A.
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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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14 Jan 2014, 00:34

A..

3/4 *4/12...=1/4
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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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14 Jan 2014, 08:32

Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the ratio of 3/4 to the product 4(3/4)?

(A) 1/4
(B) 1/3
(C) 4/9
(D) 9/4
(E) 4

(3/4)/[4*(3/4)] = 3/4 * 1/3 = 1/4 - Option A)
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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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14 Jan 2014, 21:26

The product 4(3/4) is nothing but 3 given in a different form.

Coming to the solution, (3/4)/3 = (3/4)*(1/3) = 1/4

Ans is (A).

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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18 Jan 2014, 14:15

Bunuel wrote:

SOLUTION

What is the ratio of 3/4 to the product 4(3/4)?

(A) 1/4
(B) 1/3
(C) 4/9
(D) 9/4
(E) 4

$4*\frac{3}{4} = \frac{1}{4}$. Therefore the ratio is $\frac{(\frac{3}{4})}{(\frac{1}{4})} = \frac{3}{4}*4 = \frac{1}{4}$.

Answer: A.

$4*\frac{3}{4} =3$

i am not following this explanation :cry:

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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20 Jan 2014, 00:42

Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the ratio of 3/4 to the product 4(3/4)?

(A) 1/4
(B) 1/3
(C) 4/9
(D) 9/4
(E) 4

Problem Solving
Question: 39
Category: Arithmetic Operations on rational numbers
Page: 66
Difficulty: 500

this is very simple

(3/4)/(4*(3/4))=1/4

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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07 Mar 2016, 05:04

They are asking for the Ratio of 3/4 to the product of 4(3/4)

1. Find out what 4(3/4) is. In a way they are asking what 3/4 of 4 is. 3/4 multiplied by 4 gives you 3

2. Find the ratio of 3/4 : 3 Another way to say 3 is 3/1 and antoher way to use ratio's are in fractions.

3. 3/4 Divided by 3/1 = 3/4 x 1/3

4. Multiply and your final Answer is 1/4 or A

A

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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07 Mar 2016, 05:41

3/4: 4(3/4) = 3/4 *1/4*4/3 = 1/4
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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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16 Jul 2016, 16:16

Can someone break down the wording of the problem,

"what is the ratio of 3/4 to the product 4(3/4)" --- I dont understand how the question is telling me to "(3/4) / 4(3/4)"

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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16 Jul 2016, 17:28

Top Contributor

Bunuel wrote:

The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the ratio of 3/4 to the product 4(3/4)?

(A) 1/4
(B) 1/3
(C) 4/9
(D) 9/4
(E) 4

3/4 to 4(3/4) is the same as the ratio: 1 something to 4 somethings
In other words, FOR EVERY 1 something we have 4 somethings
So, this ratio simplifies to 1 to 4 or 1/4

Answer:

Spoiler: ::

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]

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07 Oct 2017, 02:35

I can see some test takers seeing 4(3/4) as a mixed number by accident. Other than that, a very straight forward problem.

3/4 to 3 = 3/4 / 3 = 3/4 x 1/3(reciprocal) = 3/12 = 1/4

therefore A 1/4