\(0.\overline{001}\) when expressed in the form \(\frac{p}q\) (p, q

1.	\(0.\overline{001}\) when expressed in the form \(\frac{p}q\) (p, q are integers, q ≠ 0), isA. \(\frac{1}{1000}\)B. \(\frac{1}{100}\)C. \(\frac{1}{1999}\)D. \(\frac{1}{999}\)
Answer» x = \(0.\overline{001}\) (i) \(1000\times = 001.\overline{001} - 0.\overline{001}\) 999x = 1 \(\times = \frac{1}{999}\)

\(0.\overline{001}\) when expressed in the form \(\frac{p}q\) (p, q are integers, q ≠ 0), isA. \(\frac{1}{1000}\)B. \(\frac{1}{100}\)C. \(\frac{1}{1999}\)D. \(\frac{1}{999}\)

Answer»

x = \(0.\overline{001}\) (i)

\(1000\times = 001.\overline{001} - 0.\overline{001}\)

999x = 1

\(\times = \frac{1}{999}\)