Question:
0. $\overline{001}$ when expressed in the form $\frac{p}{q}$ ( $p, q$ are integers, $q \neq 0$ ), is
(a) $\frac{1}{1000}$
(b) $\frac{1}{100}$
(C) $\frac{1}{1999}$
(d) $\frac{1}{999}$
Solution:
Given that $0 . \overline{001}$
Now we have to express this number into $\frac{p}{q}$ form
Let $x=0 . \overline{001}$
$=0+\frac{1}{999}$
$=\frac{1}{999}$
The correct option is