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## Answers

Here periodicity is 3 . So , we have to multiply x with 1000

⇒1000×x = 1000×0.001001.......

⇒1000x = 1.001001.....---------(2)

Now , (2) - (1) = 1000x = 1.001001......

(-) x = 0.001001..........

⇒999x = 1

⇒x = 1/999 .

Therefore , the p/q form of 0.001001..... is 1/999 .