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

Question

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

nutshell · Accepted Answer

This problem can be solved in < than 20 seconds, if you aware of the fact that (0.625) = 5/8 or 62.5%

Since one more 0 is present before 6, multiply the denominator, 8, by 10.
5/80 = 1/16

Ans is (C).

kinjiGC · Answer

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

Bunuel · Answer

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} .

Answer: C.

Rock750 · Answer

0,0625=\frac{625}{10000} 
 \frac{625}{10000}=\frac{1}{16}

Answer : C

AKG1593 · Answer

.0625=625/10000
Cancelling by 125 gives:5/80 or 1/16.
Answer:C

bharatdivvela · Answer

.625=5/8(check percentage reciprocal conversion)
.0625=5/80=1/16

PareshGmat · Answer

0.0625 = \frac{625}{10000} = \frac{25 * 25}{100 * 100} = \frac{1}{4*4} = \frac{1}{16}

Answer = C

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} )

Answer = C

Ralphcuisak · Answer

Could you please explain how to calculate 1/8 from 1/4 and similar comparisons?

qw1981 · Answer

Another way of doing this

625 is square of 25.. Hence 0.0625= (25*25)/(100*100)= 1/16..

pacifist85 · Answer

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!!!

Gauriii · Answer

so 1/4= 25% 1/8= 1/2*25%= 12.5% 1/16= 1/4*25%= 6.25 Nice to know some basic %

Abhishek009 · Answer

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)

totaltestprepNick · Answer

C https://www.youtube.com/watch?v=pJ34p3xkbwM Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

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

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GMAT Problem Solving (PS) Questions

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

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