Question

express as p/q - 0.001 ( bar on 001)

Answer 1

Hey!

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Let, x=0.001001001.... (i)

[Multiplying with 1000 on both sides]

1000x = 1.001001001..... (ii)

Subtract (i) from (ii)

1000x - x= 1.001001... - 0.001001001...
999x = 1
x = 1/999

In p/q form = 1/999

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Hope it helps...!!!

Answer 2

Hey friend,
Here is the answer you were looking for:
$x = 0.001001.... \: \: (1st \: equation) \\ \\ multplying \: 1000 \: on \: both \: sides \\ \\ 1000x = 001.001001... \\ 1000x = 1.001001... \: \: (2nd \: equation) \\ \\ subtracting \: 1st \: equation \: with \: 2nd \: equation \\ \\ 1000x - x = 1.001001... - 0.001001... \\ \\ 999x = 1 \\ \\ x = \frac{1}{999}$

Hope this helps!!!
Thanks...
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