Fraction Worksheets - Free Printable

Problem Overview:

The task involves writing the shaded amount of each figure as a fraction of the whole. Each figure represents a different shape divided into equal parts, with some parts shaded. The goal is to determine the fraction that corresponds to the shaded portion.

Solution Approach:

1. Identify the Total Number of Parts: Count how many equal parts the whole shape is divided into.
2. Count the Shaded Parts: Determine how many of those parts are shaded.
3. Write the Fraction: The fraction is given by:
\[
\text{Fraction} = \frac{\text{Number of Shaded Parts}}{\text{Total Number of Parts}}
\]

Detailed Solutions for Each Figure:

#### 1)
- Shape: Rectangle divided into 2 equal parts.
- Shaded Parts: 1
- Total Parts: 2
- Fraction: \( \frac{1}{2} \)

#### 2)
- Shape: Rectangle divided into 8 equal parts.
- Shaded Parts: 2
- Total Parts: 8
- Fraction: \( \frac{2}{8} \)

#### 3)
- Shape: Rectangle divided into 6 equal parts.
- Shaded Parts: 2
- Total Parts: 6
- Fraction: \( \frac{2}{6} \)

#### 4)
- Shape: Rectangle divided into 4 equal parts.
- Shaded Parts: 2
- Total Parts: 4
- Fraction: \( \frac{2}{4} \)

#### 5)
- Shape: Circle divided into 8 equal parts.
- Shaded Parts: 3
- Total Parts: 8
- Fraction: \( \frac{3}{8} \)

#### 6)
- Shape: Circle divided into 8 equal parts.
- Shaded Parts: 7
- Total Parts: 8
- Fraction: \( \frac{7}{8} \)

#### 7)
- Shape: Circle divided into 4 equal parts.
- Shaded Parts: 1
- Total Parts: 4
- Fraction: \( \frac{1}{4} \)

#### 8)
- Shape: Rectangle divided into 6 equal parts.
- Shaded Parts: 5
- Total Parts: 6
- Fraction: \( \frac{5}{6} \)

#### 9)
- Shape: Rectangle divided into 6 equal parts.
- Shaded Parts: 3
- Total Parts: 6
- Fraction: \( \frac{3}{6} \) (which simplifies to \( \frac{1}{2} \), but the answer key shows \( \frac{3}{6} \))

#### 10)
- Shape: Circle divided into 4 equal parts.
- Shaded Parts: 3
- Total Parts: 4
- Fraction: \( \frac{3}{4} \)

#### 11)
- Shape: Rectangle divided into 6 equal parts.
- Shaded Parts: 1
- Total Parts: 6
- Fraction: \( \frac{1}{6} \)

#### 12)
- Shape: Circle divided into 3 equal parts.
- Shaded Parts: 1
- Total Parts: 3
- Fraction: \( \frac{1}{3} \)

#### 13)
- Shape: Circle divided into 6 equal parts.
- Shaded Parts: 1
- Total Parts: 6
- Fraction: \( \frac{1}{6} \)

#### 14)
- Shape: Circle divided into 6 equal parts.
- Shaded Parts: 4
- Total Parts: 6
- Fraction: \( \frac{4}{6} \) (which simplifies to \( \frac{2}{3} \), but the answer key shows \( \frac{4}{6} \))

#### 15)
- Shape: Circle divided into 3 equal parts.
- Shaded Parts: 2
- Total Parts: 3
- Fraction: \( \frac{2}{3} \)

#### 16)
- Shape: Circle divided into 8 equal parts.
- Shaded Parts: 5
- Total Parts: 8
- Fraction: \( \frac{5}{8} \)

#### 17)
- Shape: Rectangle divided into 6 equal parts.
- Shaded Parts: 4
- Total Parts: 6
- Fraction: \( \frac{4}{6} \) (which simplifies to \( \frac{2}{3} \), but the answer key shows \( \frac{4}{6} \))

#### 18)
- Shape: Circle divided into 8 equal parts.
- Shaded Parts: 4
- Total Parts: 8
- Fraction: \( \frac{4}{8} \) (which simplifies to \( \frac{1}{2} \), but the answer key shows \( \frac{4}{8} \))

Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & \frac{1}{2} \\
2. & \frac{2}{8} \\
3. & \frac{2}{6} \\
4. & \frac{2}{4} \\
5. & \frac{3}{8} \\
6. & \frac{7}{8} \\
7. & \frac{1}{4} \\
8. & \frac{5}{6} \\
9. & \frac{3}{6} \\
10. & \frac{3}{4} \\
11. & \frac{1}{6} \\
12. & \frac{1}{3} \\
13. & \frac{1}{6} \\
14. & \frac{4}{6} \\
15. & \frac{2}{3} \\
16. & \frac{5}{8} \\
17. & \frac{4}{6} \\
18. & \frac{4}{8} \\
\end{array}
}
\]