Fraction worksheet for students to determine shaded portions and shade figures according to given fractions.

Problem Overview:

The worksheet consists of two main sections:
1. Identifying the Fraction of the Shaded Area: Determine the fraction that represents the shaded portion of each given figure.
2. Shading the Figure with the Indicated Fraction: Shade the given figures according to the specified fractions.

Let's solve each section step by step.

---

Section 1: What is the Fraction of the Shaded Area?

#### Step-by-Step Analysis:

1. Figure 1:
- Total rectangles: 5
- Shaded rectangles: 3
- Fraction: \( \frac{3}{5} \)

2. Figure 2:
- Total rectangles: 3
- Shaded rectangles: 1
- Fraction: \( \frac{1}{3} \)

3. Figure 3:
- Total rectangles: 5
- Shaded rectangles: 4
- Fraction: \( \frac{4}{5} \)

4. Figure 4:
- Total sectors in the circle: 4
- Shaded sectors: 2
- Fraction: \( \frac{2}{4} \) or simplified to \( \frac{1}{2} \)

5. Figure 5:
- Total sectors in the circle: 8
- Shaded sectors: 3
- Fraction: \( \frac{3}{8} \)

6. Figure 6:
- Total sectors in the hexagon: 8
- Shaded sectors: 1
- Fraction: \( \frac{1}{8} \)

7. Figure 7:
- Total rectangles: 5
- Shaded rectangles: 4
- Fraction: \( \frac{4}{5} \)

8. Figure 8:
- Total sectors in the circle: 8
- Shaded sectors: 4
- Fraction: \( \frac{4}{8} \) or simplified to \( \frac{1}{2} \)

9. Figure 9:
- Total rectangles: 7
- Shaded rectangles: 6
- Fraction: \( \frac{6}{7} \)

10. Figure 10:
- Total triangles in the pentagon: 5
- Shaded triangles: 2
- Fraction: \( \frac{2}{5} \)

#### Final Answers for Section 1:
\[
\begin{aligned}
1) & \quad \frac{3}{5} \\
2) & \quad \frac{1}{3} \\
3) & \quad \frac{4}{5} \\
4) & \quad \frac{1}{2} \\
5) & \quad \frac{3}{8} \\
6) & \quad \frac{1}{8} \\
7) & \quad \frac{4}{5} \\
8) & \quad \frac{1}{2} \\
9) & \quad \frac{6}{7} \\
10) & \quad \frac{2}{5}
\end{aligned}
\]

---

Section 2: Shade the Figure with the Indicated Fraction

#### Step-by-Step Instructions:

11. Figure 11: \( \frac{1}{4} \)
- The circle is divided into 4 equal parts.
- Shade 1 part.

12. Figure 12: \( \frac{6}{8} \)
- The octagon is divided into 8 equal parts.
- Shade 6 parts.

13. Figure 13: \( \frac{1}{6} \)
- The row has 6 rectangles.
- Shade 1 rectangle.

14. Figure 14: \( \frac{3}{4} \)
- The circle is divided into 4 equal parts.
- Shade 3 parts.

15. Figure 15: \( \frac{2}{4} \)
- The square is divided into 4 equal parts.
- Shade 2 parts.

16. Figure 16: \( \frac{2}{6} \)
- The circle is divided into 6 equal parts.
- Shade 2 parts.

17. Figure 17: \( \frac{2}{5} \)
- The pentagon is divided into 5 equal parts.
- Shade 2 parts.

18. Figure 18: \( \frac{4}{8} \)
- The row has 8 rectangles.
- Shade 4 rectangles.

19. Figure 19: \( \frac{3}{8} \)
- The circle is divided into 8 equal parts.
- Shade 3 parts.

20. Figure 20: \( \frac{1}{5} \)
- The pentagon is divided into 5 equal parts.
- Shade 1 part.

#### Instructions for Shading:
- For each figure, divide it into the appropriate number of equal parts based on the denominator of the fraction.
- Shade the number of parts indicated by the numerator of the fraction.

---

Final Answer:

\[
\boxed{
\begin{aligned}
1) & \quad \frac{3}{5} \\
2) & \quad \frac{1}{3} \\
3) & \quad \frac{4}{5} \\
4) & \quad \frac{1}{2} \\
5) & \quad \frac{3}{8} \\
6) & \quad \frac{1}{8} \\
7) & \quad \frac{4}{5} \\
8) & \quad \frac{1}{2} \\
9) & \quad \frac{6}{7} \\
10) & \quad \frac{2}{5}
\end{aligned}
}
\]

For Section 2, follow the shading instructions provided above.