Express as a rational number.
Let,x = 0.123123123….
⇒ x = 0.123 + 0.000123 + 0.000000123 + …∞
⇒ x = 123(0.001 + 0.000001 + 0.000000001 + …∞)
⇒ x = 123( + …∞)
This is an infinite geometric series.
Here,a and r =
⇒
Ans : =