What numeral is in the 100th decimal place in the decimal representation of $\frac{6}{7}$?
\(\frac{6}{7}=0.\overline{857142}\)
The six digits 857142 repeat. We divide 100 by 6 to get 16 r 4. The 6 digits are repeated only 16 times. The remaining four are not. The fourth number in this group is 1.
Edit: Oops somehow I got a two.