Question

express 0.00l(001 is infinite) in the form of p/q , where p and q are integers and q ≠0.9.​

Answer 1

Answer:

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Answer 2

$x = 0.001(001....) \\ 100x = 1.001....$

Subtract first equation from the second.

$1000x - x$

$999x = 1.001 - 0.001 \\ 999x = 1 \\ x = \frac{1}{999}$