Question

janae hikes $\frac{2}{3}$ of a 12-mile trail. she wants to know how many miles she hikes.
build a model to show $\frac{2}{3} \times 12$.

Explanation:

Step1: Understand the multiplication

To find $\frac{2}{3} \times 12$, we first divide 12 into 3 equal parts.
$\frac{12}{3} = 4$

Step2: Calculate 2 of the equal parts

We need 2 of these 3 equal parts, so multiply the result by 2.
$4 \times 2 = 8$

Answer:

8 miles

Model Explanation (for the visual task):

The bar representing 12 miles is divided into 3 equal segments, each segment equals 4 miles. Shade 2 of these 4-mile segments; the total shaded length is 8 miles, which represents $\frac{2}{3} \times 12$.