No, \( \frac{1}{3} \) is not a rational terminating decimal. A terminating decimal is one that has a finite number of digits after the decimal point. In contrast, \( \frac{1}{3} \) equals approximately 0.333..., which continues indefinitely without repeating a finite pattern.
In general, a decimal representation of a fraction is terminating if, after simplification, the denominator has only the prime factors 2 and/or 5. Since the denominator of \( \frac{1}{3} \) (which is 3) contains a prime factor that is neither 2 nor 5, it results in a non-terminating decimal.
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