Answers

2015-07-25T19:15:15+05:30
Let x = 0.001001001.....-----------(1)
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 .
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