SOLUTION: find the 11110th digit in the decimal expansion of 1/41

Algebra ->  Equations -> SOLUTION: find the 11110th digit in the decimal expansion of 1/41      Log On


   

Question 1070278: find the 11110th digit in the decimal expansion of 1/41
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let me give you one hint.

The fraction  1%2F41  is a periodic decimal, since it is a rational number.

So,  what you need to do, is to make a long division,  to detect/to reveal a period,  to find the part preceding the period,

and then to get the solution.