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# What is the twenty-third decimal to the right in the fraction 23/24?

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Math Expert
Joined: 02 Sep 2009
Posts: 60647
What is the twenty-third decimal to the right in the fraction 23/24?  [#permalink]

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30 Jul 2016, 03:00
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Difficulty:

35% (medium)

Question Stats:

72% (01:54) correct 28% (01:51) wrong based on 176 sessions

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What is the twenty-third decimal to the right in the fraction 23/24?

A. 1

B. 2

C. 3

D. 4

E. 5

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Re: What is the twenty-third decimal to the right in the fraction 23/24?  [#permalink]

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30 Jul 2016, 05:11
24/23= 0.9583333...

Thus, Ans is C.
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Re: What is the twenty-third decimal to the right in the fraction 23/24?  [#permalink]

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30 Jul 2016, 23:15
1
1
abhimahna wrote:
24/23= 0.9583333...

Thus, Ans is C.

Questions of this type are tricky and it would be better to show an approach in finding the answer, rather than just quoting the answer.

My approach to this question :

Multiply the numerator with 10, which gives

=> 230/24 = 115/12 = 9.58333..

This shows that the number 3 is repeating and hence the 23rd decimal.

You may divide the result with 10, yielding 0.983333.., which is the correct result for 23/24.
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Re: What is the twenty-third decimal to the right in the fraction 23/24?  [#permalink]

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21 Aug 2017, 03:52
23/24 can be represented in decimal form as 0.958333333333
As we can see after 3 decimal places digit 3 is getting recurring
so the twenty-third decimal to the right in the fraction 23/24 is infact 3
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Re: What is the twenty-third decimal to the right in the fraction 23/24?  [#permalink]

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04 Dec 2019, 08:39
Bunuel, Is there any shortcut to solving problems like this instead of going through the division itself?
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Re: What is the twenty-third decimal to the right in the fraction 23/24?  [#permalink]

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09 Dec 2019, 18:50
1
Bunuel wrote:
What is the twenty-third decimal to the right in the fraction 23/24?

A. 1

B. 2

C. 3

D. 4

E. 5

Since 23/24 = 0.95833..., then the 23rd digit to the right of the decimal point of the decimal equivalent of the fraction is 3.

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Re: What is the twenty-third decimal to the right in the fraction 23/24?   [#permalink] 09 Dec 2019, 18:50
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