Yes, the number \( \frac{38}{66} \) is a rational number because it can be expressed as the ratio of two integers: 38 (the numerator) and 66 (the denominator).
Furthermore, rational numbers are defined as numbers that can be expressed in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Since 66 is not zero, \( \frac{38}{66} \) is indeed a rational number.
Additionally, this fraction can be simplified. The greatest common divisor (GCD) of 38 and 66 is 2, so:
\[ \frac{38}{66} = \frac{38 \div 2}{66 \div 2} = \frac{19}{33} \]
Thus, \( \frac{38}{66} \) simplifies to \( \frac{19}{33} \), which is also a rational number.