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# Which of the following fractions is equal to the decimal 0.0625 ?

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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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SOLUTION

Which of the following fractions is equal to the decimal 0.0625 ?

(A) 5/8
(B) 3/8
(C) 1/16
(D) 1/18
(E) 3/80

$$0.0625=\frac{625}{10,000}=\frac{1}{16}$$.

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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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$$0,0625=\frac{625}{10000}$$
$$\frac{625}{10000}=\frac{1}{16}$$

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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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.0625=625/10000
Cancelling by 125 gives:5/80 or 1/16.
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Which of the following fractions is equal to the decimal 0.0625 ?

(A) 5/8
(B) 3/8
(C) 1/16
(D) 1/18
(E) 3/80

Problem Solving
Question: 29
Category: Arithmetic Operations on rational numbers
Page: 65
Difficulty: 600

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

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.625=5/8(check percentage reciprocal conversion)
.0625=5/80=1/16
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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$$0.0625 = \frac{625}{10000} = \frac{25 * 25}{100 * 100} = \frac{1}{4*4} = \frac{1}{16}$$

One more method (rather interesting)

0.0625 is a perfect square of 0.25

Its simplification would also yield a perfect square

Only $$\frac{1}{16}$$ fits in (Its perfect square of $$\frac{1}{4}$$)

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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
kinjiGC wrote:
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Which of the following fractions is equal to the decimal 0.0625 ?

(A) 5/8
(B) 3/8
(C) 1/16
(D) 1/18
(E) 3/80

1/4 is 0.25
so 1/8 is 0.125
so 1/16 should be 0.0625 - Option C)

Could you please explain how to calculate 1/8 from 1/4 and similar comparisons?
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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Another way of doing this

625 is square of 25.. Hence 0.0625= (25*25)/(100*100)= 1/16..
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
I think kinjiGC gave the smartest solution here, which is why I gave him some kudos!

I did reach the same in 2 ways, by saying that 0.0625 = 625*10^-4, which obviously is 625/10000.

However, as I am not quick with numbers, didn't know that 10000/625 is 16... And, I didn't think of dividing by 625 anyway base on the answer options.

So, as the divisions were easy, I just started doing them from B on. I found it quite quickly, but hat's off to kinjiGC!!!
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
so 1/4= 25%
1/8= 1/2*25%= 12.5%
1/16= 1/4*25%= 6.25

Nice to know some basic %
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
1
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Which of the following fractions is equal to the decimal 0.0625 ?

(A) 5/8
(B) 3/8
(C) 1/16
(D) 1/18
(E) 3/80

Problem Solving
Question: 29
Category: Arithmetic Operations on rational numbers
Page: 65
Difficulty: 600

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!

$$0.0625 = \frac{625}{10000}$$

Or, $$\frac{625}{10000} = (\frac{5}{10})^4$$

Now, $$(\frac{5}{10})^4 = (\frac{1}{2})^4=\frac{1}{16}$$, Thus Answer must be (C)
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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Re: Which of the following fractions is equal to the decimal 0.0625 ? [#permalink]
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