Algebra
posted by Joe .
Which digit will appear in the 534th place after the decimal point in the decimal representation of 5/13?

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