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If the fraction 7/88 is expressed as a decimal, how many distinct

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If the fraction 7/88 is expressed as a decimal, how many distinct  [#permalink]

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New post 14 Jan 2018, 06:21
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A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

43% (02:04) correct 58% (02:01) wrong based on 91 sessions

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Re: If the fraction 7/88 is expressed as a decimal, how many distinct  [#permalink]

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New post 14 Jan 2018, 08:48
Bunuel wrote:
If the fraction 7/88 is expressed as a decimal, how many distinct digits will there be to the right of the decimal?

A. 6
B. 5
C. 4
D. 3
E. 2


\(\frac{1}{11}\) = \(0.0909.........\)
\(\frac{1}{8}\) = \(0.125\)

Now, \(\frac{1}{11} * \frac{1}{8}\) = 0.011363636363636.........

Thus, there will be 5 distinct digits will there be to the right of the decimal, answer will be (B)

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Re: If the fraction 7/88 is expressed as a decimal, how many distinct  [#permalink]

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New post 23 Oct 2018, 09:27
Top Contributor
Bunuel wrote:
If the fraction 7/88 is expressed as a decimal, how many distinct digits will there be to the right of the decimal?

A. 6
B. 5
C. 4
D. 3
E. 2


This calls for some long division

NOTE: We'll perform long division until we get a repeated digit.

So, 7 ÷ 88 = 0.079545 (repeated digit)
This means 7 ÷ 88 = 0.0795454545454.....
So, the digits to the right of the decimal are: 0's, 7's, 9's, 4's, and 5's
There are 5 distinct digits

Answer: B

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Brent
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Re: If the fraction 7/88 is expressed as a decimal, how many distinct   [#permalink] 23 Oct 2018, 09:27
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