The following real number is expressed in decimal form. Determine whether it is rational or not. If it is rational,express it in the form of $\frac{p}{q}$. $18.484848 \ldots$

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(A) Let $x = 18.484848 \ldots$ (Equation $1$).
Since the repeating part is $48$,multiply both sides by $100$:
$100x = 1848.484848 \ldots$ (Equation $2$).
Subtract Equation $1$ from Equation $2$:
$100x - x = 1848.484848 \ldots - 18.484848 \ldots$
$99x = 1830$.
$x = \frac{1830}{99}$.
Dividing both numerator and denominator by $3$,we get $x = \frac{610}{33}$.
Since the number can be expressed in the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$,it is a rational number.

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