What numeral is in the 100th decimal place in the decimal representation of \(6/17\)?
6/17 ==0.3529411764705882 3529411764705882
The fraction ha a "period" of 16 digits, which means the first 16 digits over and over again.
Therefore: 100 mod 16 ==4 - or the fourth digit from the decimal, which is a "9".