https://file.aiquickdraw.com/mathbot/file/17273853395430qfgkntj.jpeg

Let's walk through the steps of solving the math problems shown in the uploaded image.

### Problem 1: Finding the Area of the Shaded Region
The image shows a rectangle with 5 units in length and 1 unit in height. The question asks to find the area of the shaded region, which represents 2/3 of the total height.

- The formula for the area of a rectangle is:
  \[
  \text{Area} = \text{length} \times \text{height}
  \]
- Given:
  - Length = 5 units
  - Height = \( \frac{2}{3} \) of 1 unit
- Multiply:
  \[
  \text{Area} = 5 \times \frac{2}{3} = \frac{10}{3} \text{ square units} = 3 \frac{1}{3} \text{ square units}
  \]
Thus, the area of the shaded region is \( 3 \frac{1}{3} \) square units.

### Problem 2: Selecting Expressions for the Shaded Area
For this problem, the task is to select the expressions that correctly represent the area of the shaded region.

The correct expression for the area is \( 5 \times \frac{2}{3} = \frac{10}{3} \). Based on the image, several options are given, and calculations were done for the expressions, including multiplication of fractions and interpreting the given diagrams.

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Would you like further explanations or clarifications on these steps?

Here are five related questions for deeper understanding:

1. How can you visually represent the multiplication of a fraction by a whole number?
2. What happens when you multiply a whole number by a fraction greater than 1?
3. How can the area model help in understanding fraction multiplication?
4. Why is it important to simplify the result of a fraction multiplication?
5. How can you break down a mixed number like \( 3 \frac{1}{3} \) into a sum of its parts?

**Tip:** When multiplying fractions, always simplify if possible to make calculations easier!

Find the area of the shaded region and select the correct expressions that represent the area.

Learn how to find the area of a shaded region in a rectangle using fraction multiplication. This problem involves multiplying fractions with whole numbers and selecting equivalent expressions. Suitable for Grade 5 students.

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