Question: 24. Which model is shaded to show a fraction equivalent to $\frac{3}{6}$?
1. The problem asks to identify which model shows a fraction equivalent to $\frac{3}{6}$.
2. First, simplify the fraction $\frac{3}{6}$ by dividing numerator and denominator by their greatest common divisor (GCD), which is 3:
$$\frac{3}{6} = \frac{\cancel{3}^1}{\cancel{6}^2} = \frac{1}{2}$$
3. So, we need to find the model that represents $\frac{1}{2}$.
4. Analyze each model:
- a) Square divided into 4 triangles, 1 shaded triangle: fraction shaded is $\frac{1}{4}$.
- b) Rectangle divided into 8 equal parts, 3 shaded: fraction shaded is $\frac{3}{8}$.
- c) Rectangle divided into 4 equal vertical parts, 3 shaded: fraction shaded is $\frac{3}{4}$.
- d) Circle divided into 2 equal halves, 1 half shaded: fraction shaded is $\frac{1}{2}$.
5. The fraction $\frac{1}{2}$ is equivalent to $\frac{3}{6}$.
6. Therefore, model d) correctly shows a fraction equivalent to $\frac{3}{6}$.
**Final answer:** Model d)