Question

express the following in the form if p/q : 0.001 (bar is on 001)​

Answer 1

Step-by-step explanation:

Let x=0.001 bar=0.001001001....... and

1000x = 1.001001001.............

subtract x from 1000x

1000x = 1.001001001.........

-      x = 0.001001001.........

 999x = 1.000000000..........

 999x = 1

$x = \frac{1}{999}$

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Answer 2

Answer:

1/999

Step-by-step explanation:

let x=0.001001001001001...... 

multiply with 10 till you get 001 after the decimal point

10x=10.01001001001....

100x=100.1001001001001....

1000x = 1.001001001.............

subtract x from 1000x

1000x -x = (1.001001001.........) - (0.001001001.........)

 999x = 1.000000000..........

 999x = 1

    x  =   1 / 999