https://file.aiquickdraw.com/mathbot/file/1726442806019sltkoey3.jpg

Let's analyze the image step by step to determine the fraction of the shape that is shaded.

### Step 1: Counting the Total Number of Triangular Sections
The entire shape consists of smaller triangular sections. By visually inspecting, we can divide the shape into a series of equilateral triangles. We see that the large hexagon shape can be divided into 12 smaller triangles (6 on the left, 6 on the right).

### Step 2: Counting the Shaded Triangles
The shaded triangles are the ones colored in blue. Upon counting, there are 8 shaded triangles across the entire shape.

### Step 3: Forming the Fraction
Since there are 12 triangles in total and 8 of them are shaded, the fraction of the shape that is shaded is:

\[
\frac{8}{12}
\]

### Step 4: Simplifying the Fraction
Now, simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

\[
\frac{8}{12} = \frac{2}{3}
\]

Thus, the fraction of the shape that is shaded is **\(\frac{2}{3}\)**.

Would you like more details or have any further questions?

Here are some related questions to consider:
1. How would the fraction change if more triangles were shaded?
2. Can this approach be generalized to other geometric shapes?
3. What methods can be used to simplify fractions?
4. How many triangles would need to be shaded for half of the shape to be shaded?
5. How would you calculate the area of each triangle if the side length was known?

**Tip:** When simplifying fractions, always look for the greatest common divisor (GCD) of the numerator and the denominator to simplify the fraction efficiently.

Learn how to determine the fraction of a geometric shape that is shaded with a detailed step-by-step solution. This problem involves counting sections and simplifying fractions, making it perfect for students in Grades 5-7.

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