Question

\[0 . \bar{{001}}\] when expressed in the form \[\frac{p}{q}\]  (p, q are integers, q ≠ 0), is

Options

• \[\frac{1}{1000}\]

• \[\frac{1}{100}\]

• \[\frac{1}{1999}\]

• \[\frac{1}{999}\]

Answer 1

Given that `0 overline.001`

Now we have to express this number into `p/q` form

Let x = `0.overline001`

`= 0+1/999`

`= 1/999`