Question

Express 0.2353535............. in the form p/q​

Answer 1

Let, x=0.23535... 10x=2.3535... -------(1) 100x=235.3535... ---------(2) Subtracting (1) from (2), we get => 100x-10x =235.3535-2.3535 => 90x. =233 => x. =233/90 0.2353535.......=233/90 which is in the form of p/q

Answer 2

0.2353535 in p/q form is

2353535/10000000