Question

1. use the diagram to answer the question: how many \\(\frac{1}{2}\\)s are in \\(1\frac{1}{2}\\)? the hexagon represents 1 whole. explain your reasoning.

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{1}{2} = \frac{2\times1 + 1}{2} = \frac{3}{2}$

Step2: Divide by $\frac{1}{2}$ to count parts

$\frac{3}{2} \div \frac{1}{2} = \frac{3}{2} \times \frac{2}{1} = 3$

Step3: Verify with the diagram

The full hexagon (1 whole) has 2 halves, plus the extra half-trapezoid (1 half), so $2 + 1 = 3$.

Answer:

3