(8) Assessment Practice 15. Jordan says that \( 6 \div \frac{1}{2}=3 \). Is he correct? If not, justify your reasoning and give the correct quotient.

Jordan is not correct. When you divide by a fraction, it's the same as multiplying by its reciprocal. So, \( 6 \div \frac{1}{2} \) is really \( 6 \times 2 \), which equals 12. Remember, dividing by a fraction means you're asking how many of that fraction fit into the whole number, and in this case, 6 is equivalent to 12 halves! Additionally, it's crucial to remember that dividing by smaller fractions results in larger numbers! When working with fractions, visualizing with pie slices or number lines can often clarify how many pieces you have. So, if you're ever unsure, sketch it out and watch the magic happen!