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If each of the following fractions were written as a decimal, which wo

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Sajjad1994
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If each of the following fractions were written as a decimal, which wo [#permalink] If each of the following fractions were written as a decimal, which wo   18 Mar 2017, 11:04
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A
B
C
D
E

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If each of the following fractions were written as a decimal, which would have the fewest number of digits to the right of the decimal point?

A. 1/8
B. 1/5
C. 1/3
D. 2/3
E. 3/4
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B
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nailin16
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[#permalink] If each of the following fractions were written as a decimal, which wo   18 Mar 2017, 21:06
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Fewest number of digits to the right of decimal means those choices having non terminating decimals will be eliminated.
So that eliminates C and D,as they have 3 in denominator.

Now we are left with A,B and E which have either 2 or 5 (factors of 10 to qualify for terminating decimals) to be terminating in nature.
If we look closely 5 can divide anything ending in 0.
So shortest decimal will be for B as it has 5 in denominator.

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Re: If each of the following fractions were written as a decimal, which wo [#permalink] If each of the following fractions were written as a decimal, which wo   18 Mar 2017, 21:22
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SajjadAhmad wrote:
If each of the following fractions were written as a decimal, which would have the fewest number of digits to the right of the decimal point?

A. 1/8
B. 1/5
C. 1/3
D. 2/3
E. 3/4



\(A. \frac{1}{8}\) \(= 0.125\)
\(B. \frac{1}{5}\) \(= 0.20\)
\(C. \frac{1}{3}\) \(= 0.3333.....\)
\(D. \frac{2}{3}\) \(= 0.6666...\)
\(E. \frac{3}{4}\) \(= 0.75\)

Answer must be (B) \(0.25\)
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BrentGMATPrepNow
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Re: If each of the following fractions were written as a decimal, which wo [#permalink] If each of the following fractions were written as a decimal, which wo   03 Apr 2020, 07:43
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SajjadAhmad wrote:
If each of the following fractions were written as a decimal, which would have the fewest number of digits to the right of the decimal point?

A. 1/8
B. 1/5
C. 1/3
D. 2/3
E. 3/4


Convert each fraction to a decimal...
A. 1/8 = 0.125 (3 digits to the right of the decimal point)
B. 1/5 = 0.2 (1 digit to the right of the decimal point)

STOP The only way to have FEWER than 1 digit to the right of the decimal point is to have ZERO digits to the right of the decimal point. This occurs only when the fraction evaluates to be an integer. Since none of the remaining fractions evaluate to be an integer, the correct answer is B

That said, let's perform the remaining conversions for "fun"

C. 1/3 = 0.333333... (infinitely many digits to the right of the decimal point)
D. 2/3 = 0.66666.... (infinitely many digits to the right of the decimal point)
E. 3/4 = 0.75 (2 digits to the right of the decimal point)

Answer: B

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Brent
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Re: If each of the following fractions were written as a decimal, which wo [#permalink]
03 Apr 2020, 07:43
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Bunuel
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