Improper and Mixed Fractions Visual Worksheet with Answer Key

Problem Overview:

The task involves converting visual representations of fractions into mixed numbers and improper fractions. Let's solve each part step by step.

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Part 1: Write each amount as a mixed number

#### 1)
- Visual: Four green rectangles.
- Interpretation: Each rectangle represents a whole unit.
- Solution: Since there are 4 whole rectangles, the mixed number is:
$$
\boxed{4}
$$

#### 2)
- Visual: Two green circles, each divided into 3 parts, with all parts shaded.
- Interpretation: Each circle represents \( \frac{3}{3} = 1 \) whole.
- Solution: There are 2 whole circles, so the mixed number is:
$$
\boxed{2}
$$

#### 3)
- Visual: Seven green rectangles.
- Interpretation: Each rectangle represents a whole unit.
- Solution: Since there are 7 whole rectangles, the mixed number is:
$$
\boxed{7}
$$

#### 4)
- Visual: Two green circles, each divided into 4 parts, with all parts shaded.
- Interpretation: Each circle represents \( \frac{4}{4} = 1 \) whole.
- Solution: There are 2 whole circles, so the mixed number is:
$$
\boxed{2}
$$

#### 5)
- Visual: Four green rectangles.
- Interpretation: Each rectangle represents a whole unit.
- Solution: Since there are 4 whole rectangles, the mixed number is:
$$
\boxed{4}
$$

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Part 2: Write each amount as an improper fraction

#### 6)
- Visual: Nine blue rectangles.
- Interpretation: Each rectangle represents a whole unit.
- Solution: Since there are 9 whole rectangles, the improper fraction is:
$$
\boxed{\frac{9}{1}}
$$

#### 7)
- Visual: Three blue circles.
- Interpretation: Each circle represents a whole unit.
- Solution: Since there are 3 whole circles, the improper fraction is:
$$
\boxed{\frac{3}{1}}
$$

#### 8)
- Visual: Two blue circles, each divided into 4 parts, with all parts shaded.
- Interpretation: Each circle represents \( \frac{4}{4} = 1 \) whole.
- Solution: There are 2 whole circles, so the improper fraction is:
$$
\boxed{\frac{8}{4}}
$$

#### 9)
- Visual: Four blue circles, each divided into 3 parts, with all parts shaded.
- Interpretation: Each circle represents \( \frac{3}{3} = 1 \) whole.
- Solution: There are 4 whole circles, so the improper fraction is:
$$
\boxed{\frac{12}{3}}
$$

#### 10)
- Visual: Six blue rectangles.
- Interpretation: Each rectangle represents a whole unit.
- Solution: Since there are 6 whole rectangles, the improper fraction is:
$$
\boxed{\frac{6}{1}}
$$

#### 11)
- Visual: Three blue circles, each divided into 4 parts, with all parts shaded.
- Interpretation: Each circle represents \( \frac{4}{4} = 1 \) whole.
- Solution: There are 3 whole circles, so the improper fraction is:
$$
\boxed{\frac{12}{4}}
$$

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Final Answers:

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

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Boxed Final Answer:

$$
\boxed{4, 2, 7, 2, 4, \frac{9}{1}, \frac{3}{1}, \frac{8}{4}, \frac{12}{3}, \frac{6}{1}, \frac{12}{4}}
$$