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

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]
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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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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Kudos
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 $$\frac{(\frac{3}{4})}{(\frac{1}{4})} = \frac{3}{4}*4 = \frac{1}{4}$$.

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

i am not following this explanation
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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]
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

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

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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]
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

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

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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]
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
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Re: What is the ratio of 3/4 to the product 4(3/4)? [#permalink]
we have to find ratio of $$\frac{3}{4}$$ and $$3$$
so
$$\frac{3}{4*3}$$
$$\frac{1}{4}$$

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

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

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

$$\frac{\frac{3}{4} }{ 4(\frac{3}{4})}$$
$$\frac{3}{4}*\frac{1}{3} = \frac{1}{4}$$

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