State whether the following rational number has a terminating decimal expansion or not. If it has a terminating decimal expansion,find it: $\frac{77}{210}$

(D) To determine if a rational number $\frac{p}{q}$ has a terminating decimal expansion,we check the prime factorization of the denominator $q$. If $q = 2^n \times 5^m$ (where $n, m \ge 0$),the expansion is terminating.
First,simplify the fraction: $\frac{77}{210} = \frac{7 \times 11}{7 \times 30} = \frac{11}{30}$.
The denominator is $30 = 2^1 \times 3^1 \times 5^1$.
Since the prime factorization of the denominator contains a factor of $3$ (other than $2$ and $5$),the decimal expansion is non-terminating and repeating.