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If each of the following fractions...

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by BTGmoderatorLU » Mon Oct 16, 2017 10:30 am
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

The OA is B.

Can any expert explain this PS question? I don't understand why B?
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by Brent@GMATPrepNow » Mon Oct 16, 2017 11:22 am
LUANDATO 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)
NOTE: 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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by EconomistGMATTutor » Tue Oct 17, 2017 10:04 am
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

The OA is B.

Can any expert explain this PS question? I don't understand why B?
Hi LUANDATO,
Let's take a look at your question.

To find the number of digits to the right of the decimal point, we need to convert the fractions to decimals.

$$\frac{1}{8}=0.125$$
$$\frac{1}{5\ }=0.2$$
$$\frac{1}{3}=0.3333...$$
$$\frac{2}{3}=0.6666...$$
$$\frac{3}{4}=0.75$$

We can see that 1/5 has the fewest number of digits to the right of the decimal point.
Therefore, Option B is correct.

I am available, if you'd like any follow up.
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by Scott@TargetTestPrep » Fri Nov 22, 2019 11:25 am
BTGmoderatorLU 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

The OA is B.

Can any expert explain this PS question? I don't understand why B?
Since 1/5 = 0.2, and all other fractions convert to decimals of more than one digit, the answer is B.

Answer: B

Scott Woodbury-Stewart
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