A rational terminating decimal is a decimal that ends after a finite number of digits. Only fractions in their simplest form where the denominator has only the prime factors 2 and/or 5 will result in terminating decimals.
Let's examine the given numbers:
- sqrt(12): This simplifies to \(2\sqrt{3}\) and is an irrational number.
- sqrt(39): This is also an irrational number since 39 is not a perfect square.
- 1/3: This is a rational number, but its decimal representation is \(0.333...\), which is a repeating decimal (not terminating).
- 5/11: This is a rational number, but its decimal representation is \(0.454545...\), which is also repeating (not terminating).
- 7/8: This is a rational number. The decimal representation is \(0.875\), which is a terminating decimal.
Therefore, the only number among those listed that is a rational terminating decimal is 7/8.