EXERCISE

Express $0.\stackrel{-}{6}$ in the form $\frac{p}{q}$ (in the simplest form), where $p$ and $q$ are integers and $q\ne 0.$

Express $0.4\overline{7}$ in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$. 

If $0.\overline{001}$ is expressed in the simplest form as $\frac{p}{q},$ where $p$ and $q$ are integers and $\mathrm{q}\ne 0$, then find the value of $p+q$.

Write rational or irrational for the number $\sqrt{23}$.

Check whether, $\sqrt{225}$ is rational or irrational?

Classify the number $0.3796$ as Rational Number / Irrational Number.

Identify whether the number $7.478478....$ is Rational Number $/$ Irrational Number.

Identify whether the number $1.101001000100001$ is Rational Number $/$ Irrational Number.