https://file.aiquickdraw.com/mathbot/file/1729088734630bth24lq0.jpg

To solve the problem of determining which model represents \( \frac{1}{2} + \frac{1}{6} \), we will break it down:

### Step 1: Find a common denominator.
- The denominators in \( \frac{1}{2} \) and \( \frac{1}{6} \) are 2 and 6, respectively.
- The least common denominator (LCD) is 6.

### Step 2: Rewrite the fractions with the same denominator.
- \( \frac{1}{2} \) can be rewritten as \( \frac{3}{6} \) (since \( \frac{1}{2} = \frac{3}{6} \)).
- \( \frac{1}{6} \) remains as \( \frac{1}{6} \).

### Step 3: Add the fractions.
- Now we can add \( \frac{3}{6} + \frac{1}{6} = \frac{4}{6} \).
- Simplify \( \frac{4}{6} \) to \( \frac{2}{3} \).

### Step 4: Analyze the models.
The correct model should represent \( \frac{2}{3} \).

- **A)** Shows 4 out of 6 shaded, which represents \( \frac{4}{6} \), or \( \frac{2}{3} \). This is the correct model.
- **B)** Shows fewer parts shaded and doesn’t represent \( \frac{1}{2} + \frac{1}{6} \).
- **C)** Shows more parts shaded, which would be incorrect for this sum.
- **D)** Shows \( \frac{1}{2} \), but no additional shading for \( \frac{1}{6} \).

### Conclusion:
The correct answer is **A)**.

Would you like more details or have any questions?

Here are 5 related questions to think about:
1. What is the least common denominator of \( \frac{2}{5} \) and \( \frac{3}{4} \)?
2. How do you convert improper fractions to mixed numbers?
3. What visual model would represent \( \frac{3}{4} + \frac{1}{2} \)?
4. How do you subtract fractions with different denominators?
5. What is the visual difference between adding fractions and multiplying them?

**Tip:** Always simplify fractions after adding or subtracting to make calculations easier.

Learn how to add fractions with different denominators by finding the least common denominator. This problem involves adding 1/2 and 1/6, simplified to 2/3, and matching it to the correct visual model. Suitable for students in Grades 4-6.

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