https://file.aiquickdraw.com/mathbot/file/1726705818545bupy4bwx.jpg

The expression given in the image is:

\[
\left( \frac{1}{2} \times 8 \right) \times \frac{1}{3}
\]

### Step-by-step Solution:

1. **First, simplify the expression inside the parentheses**:

\[
\frac{1}{2} \times 8 = \frac{8}{2} = 4
\]

2. **Now, multiply the result by \( \frac{1}{3} \)**:

\[
4 \times \frac{1}{3} = \frac{4}{3}
\]

So, the value of the expression is:

\[
\frac{4}{3}
\]

### Explaining in relation to the bar model:
A **bar model** is a visual tool used to represent mathematical expressions, often involving fractions or ratios. In this case:

- The fraction \( \frac{1}{2} \) can represent taking half of 8, which gives you 4. 
- Then, the second multiplication by \( \frac{1}{3} \) shows dividing this result (4) into 3 parts, and taking 1 part, leading to \( \frac{4}{3} \). 
- The bar model would show a bar split into 2 sections (to represent \( \frac{1}{2} \)), and then each half split into 3 sections (to represent \( \frac{1}{3} \)).

Would you like more details on the bar model, or help with another question?

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Here are 5 questions to explore further:

1. How would you represent other expressions using the bar model?
2. What is the value of \( \frac{2}{3} \times 9 \)?
3. How do you multiply fractions in general? Can you apply the same method here?
4. How can a bar model help in solving other types of fraction problems?
5. What is the importance of visualizing fraction operations?

**Tip:** When multiplying fractions, you can simplify by canceling common factors before multiplying to make the calculations easier.

What is the value of the expression (1/2 × 8) × 1/3? Explain how finding the value of the expression is related to the bar model.

Learn how to find the value of the expression (1/2 × 8) × 1/3 and understand its relation to the bar model. This problem demonstrates multiplying fractions and interpreting results using a bar model. Suitable for students in Grades 4-6.

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