1. The problem asks to identify the number described by the clues: Rational, Not an integer, Positive, Can be written as a terminating decimal. 2. A rational number can be expressed as a fraction of two integers. 3. A terminating decimal is a decimal number that ends after a finite number of digits. 4. Since the number is rational, positive, not an integer, and a terminating decimal, examples include numbers like $0.5$, $1.25$, $3.75$, etc. 5. Any such number fits the description, but since no specific value is given, the answer is a positive rational number with a terminating decimal that is not an integer. 6. For example, $1.25$ satisfies all conditions. Final answer: $1.25$