Write the value of in the form of a simple fraction.
Let, x=0.423423423… …(i)
Multiplying this equation by 1000 on both the sides so that repetitive terms cancel out and we get:
1000x=423.423423423… …(ii)
Equation (ii)-(i),
⇒ 1000x-x=423.423423423-0.423423423=423
⇒ 999x=423
⇒