Question

express 3.212121......... in the form of a fraction p/q in it's lowest form,where 'p' and 'q' are positive integers . Also show that p/q = 3+21(1/100 / 1-1/100). please solve and explain. p.s those who don't know please don't answer!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

x=3.212121......
periodicity=100 since 2 no.are repeating
multiply the above equation with 100 on both sides
100x=321.2121......
subtract equation 2 from 1
we get 99x=318
x=318/99