Posted by **Joe** on Friday, May 6, 2011 at 3:47pm.

Which digit will appear in the 534th place after the decimal point in the decimal representation of 5/13?

- Algebra -
**Reiny**, Friday, May 6, 2011 at 4:38pm
5/13 = .384615384615..

so the repeat is 384615 , namely 6 digits long

534/6 = 89 with Remainder 0 , making 534 a multiple of 6

so the 6th digit will be a 5

and the 12th digit will be a 5

and the 18th digit will be a 5

...

and the 528th digit will be a 5

and the 534th digit will be a 5

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