Q8 of 104 Page 491

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 : =


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