Remember: A decimal fraction in which all the digits after the decimal point are repeated is called a pure recurring decimal whereas a decimal fraction in which some digits after the decimal point do not repeat and some digits do is called a mixed recurring decimal. The period of the decimal representation of
1
p
is a division of p−1 Thus, the decimal form of the vulgarfraction
1
p
is a pure recurring decimal and its period will be some factor of (p−1)