1. **Stating the problem:** We want to understand the properties of the fraction $\frac{1}{2}$.\n\n2. **Definition:** $\frac{1}{2}$ is a rational number representing one part out of two equal parts of a whole.\n\n3. **Properties:**\n- It is positive because both numerator and denominator are positive.\n- It is less than 1 because numerator is less than denominator.\n- It is a proper fraction since numerator $<$ denominator.\n- It can be expressed as a decimal: $\frac{1}{2} = 0.5$.\n- It is a terminating decimal because denominator is a power of 2.\n- It is a rational number because it can be expressed as a ratio of two integers.\n- It is symmetric around 0.5 on the number line.\n\n4. **Additional notes:** Multiplying $\frac{1}{2}$ by 2 gives 1, showing it is half of 1.\n\nFinal answer: $\frac{1}{2}$ is a positive, proper fraction less than 1, equal to 0.5 in decimal form, and a rational number.