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If each of the following fractions...

This topic has 2 expert replies and 0 member replies

If each of the following fractions...

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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

The OA is B.

Can any expert explain this PS question? I don't understand why B?

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GMAT/MBA Expert

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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

Cheers,
Brent

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Quote:
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.

_________________
GMAT Prep From The Economist
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Our average student improves 98 points.

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