The expression \( 3 \times \frac{1}{2} \) means multiplying 3 by one-half. To calculate:

\[
3 \times \frac{1}{2} = \frac{3}{2} = 1.5
\]

Now, the question asks: "What part of \( 3 \times \frac{1}{2} \) is \( \frac{1}{2} \)?"

The fraction \( \frac{1}{2} \) represents half of any number it multiplies. In this case, \( \frac{1}{2} \) is half of 3. Therefore, the "part" of \( 3 \times \frac{1}{2} \) that corresponds to \( \frac{1}{2} \) is its contribution to making the product \( \frac{3}{2} \).

Thus, \( \frac{1}{2} \) is half of the 3 that results in \( 1.5 \). You could think of it as asking how much of the result \( 1.5 \) is determined by the factor \( \frac{1}{2} \), which is half of 3.

Would you like more details on how the multiplication of fractions works?

Here are 5 related questions to consider:

1. How do you multiply fractions and whole numbers in general?
2. What is the meaning of multiplying a fraction by a whole number?
3. How do you simplify the result of multiplying fractions?
4. What are other ways to interpret fractions in real-world contexts?
5. How does dividing a number by 2 relate to multiplying by \( \frac{1}{2} \)?

**Tip**: When multiplying a whole number by a fraction, think of it as taking "part" of that whole number, such as half, a third, etc.

Explore how the fraction 1/2 relates to the multiplication of 3 and 1/2. This solution breaks down the process of multiplying fractions and understanding their parts, helping students in Grades 6-8 grasp the concept easily.

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