Math worksheet for practicing expressing fractions numerically using shaded shapes.

To solve the problem, we need to determine the fraction of each shaded area in the given images. Let's go through each one step by step.

1)

- The shape is divided into 2 equal parts.
- 1 part is shaded.
- Fraction: \( \frac{1}{2} \)

2)

- The shape is divided into 5 equal parts.
- 2 parts are shaded.
- Fraction: \( \frac{2}{5} \)

3)

- The shape is divided into 4 equal parts.
- 3 parts are shaded.
- Fraction: \( \frac{3}{4} \)

4)

- The shape is divided into 2 equal parts.
- 1 part is shaded.
- Fraction: \( \frac{1}{2} \)

5)

- The shape is divided into 2 equal parts.
- 1 part is shaded.
- Fraction: \( \frac{1}{2} \)

6)

- The circle is divided into 4 equal parts.
- 1 part is shaded.
- Fraction: \( \frac{1}{4} \)

7)

- The shape is divided into 6 equal parts.
- 5 parts are shaded.
- Fraction: \( \frac{5}{6} \)

8)

- The circle is divided into 8 equal parts.
- 2 parts are shaded.
- Fraction: \( \frac{2}{8} \) (which can be simplified to \( \frac{1}{4} \))

9)

- The circle is divided into 4 equal parts.
- 2 parts are shaded.
- Fraction: \( \frac{2}{4} \) (which can be simplified to \( \frac{1}{2} \))

10)

- The shape is divided into 4 equal parts.
- 3 parts are shaded.
- Fraction: \( \frac{3}{4} \)

11)

- The circle is divided into 3 equal parts.
- 1 part is shaded.
- Fraction: \( \frac{1}{3} \)

12)

- The circle is divided into 3 equal parts.
- 2 parts are shaded.
- Fraction: \( \frac{2}{3} \)

13)

- The circle is divided into 6 equal parts.
- 3 parts are shaded.
- Fraction: \( \frac{3}{6} \) (which can be simplified to \( \frac{1}{2} \))

14)

- The shape is divided into 4 equal parts.
- 1 part is shaded.
- Fraction: \( \frac{1}{4} \)

Final Answers:

1. \( \frac{1}{2} \)
2. \( \frac{2}{5} \)
3. \( \frac{3}{4} \)
4. \( \frac{1}{2} \)
5. \( \frac{1}{2} \)
6. \( \frac{1}{4} \)
7. \( \frac{5}{6} \)
8. \( \frac{2}{8} \) or \( \frac{1}{4} \)
9. \( \frac{2}{4} \) or \( \frac{1}{2} \)
10. \( \frac{3}{4} \)
11. \( \frac{1}{3} \)
12. \( \frac{2}{3} \)
13. \( \frac{3}{6} \) or \( \frac{1}{2} \)
14. \( \frac{1}{4} \)

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
1. \frac{1}{2} \\
2. \frac{2}{5} \\
3. \frac{3}{4} \\
4. \frac{1}{2} \\
5. \frac{1}{2} \\
6. \frac{1}{4} \\
7. \frac{5}{6} \\
8. \frac{2}{8} \text{ or } \frac{1}{4} \\
9. \frac{2}{4} \text{ or } \frac{1}{2} \\
10. \frac{3}{4} \\
11. \frac{1}{3} \\
12. \frac{2}{3} \\
13. \frac{3}{6} \text{ or } \frac{1}{2} \\
14. \frac{1}{4} \\
\end{array}
}
\]