Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.1\overline{34}$

Look at several examples of rational numbers in the form $\frac{p}{q}$ $(q \neq 0)$,where $p$ and $q$ are integers with no common factors other than $1$ and having terminating decimal representations (expansions). Can you guess what property $q$ must satisfy?

For each question,select the proper option from four options given,to make the statement true: $0.3\overline{6}=$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2555 \ldots$

Every rational number is

Classify the following numbers as rational or irrational with justification:
$(i)$ $10.124124 \ldots$
$(ii)$ $1.010010001 \ldots$