Question

Find the 100th place to the right of the decimal point in the decimal expansion of 1/13.

Answer 1

1/13 = 0.076923 076923 ...

You can see here that the repeating numbers are 076923. There are six numbers in all so,
100/6 = 16 remainder 4

Counting four places, the 100th place is 9.

Answer 2

Thanks, that makes sense!