Question

Show that 0.3333…=0.3 can be expressed in the form p/q,where p and q are integers and q≠0.

Answer 1

Answer:

1/3

Step-by-step explanation:

let x=0.3333......                   therefore 10 x x =0.333...x10                                                 10x = 3.3333...      and 10x= 3 +0.3333....                                                                    10x =3 + x [ as x= 0.3333...]   therfore

10x- x= 3     ,9x= 3 , x= 3/9    ,x= 1/3