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

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Math Expert
Joined: 02 Sep 2009
Posts: 51099
If the fraction 7/88 is expressed as a decimal, how many distinct  [#permalink]

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14 Jan 2018, 05:21
00:00

Difficulty:

55% (hard)

Question Stats:

48% (01:40) correct 52% (01:47) wrong based on 63 sessions

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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

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

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14 Jan 2018, 07:48
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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23 Oct 2018, 08:27
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

Cheers,
Brent
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Re: If the fraction 7/88 is expressed as a decimal, how many distinct &nbs [#permalink] 23 Oct 2018, 08:27
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