This math worksheet helps students practice writing fractions based on shaded areas in circles and grids, followed by a decimal conversion challenge.

Let's solve this step by step. The task is to write a fraction in the box for each figure that shows what part is colored, and then convert each fraction into a decimal for the challenge.

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🔍 Step 1: Understand Each Figure

Each shape (circle or square) is divided into equal parts. We need to:

- Count the total number of equal parts.
- Count how many parts are colored.
- Write the fraction as:
$$
\frac{\text{colored parts}}{\text{total parts}}
$$

Then, convert the fraction to a decimal.

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We'll go through each one:

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🟦 1. Circle divided into 2 parts, 1 shaded

- Total: 2
- Colored: 1
- Fraction: $ \frac{1}{2} $
- Decimal: $ 0.5 $

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🟦 2. Circle divided into 3 parts, 1 shaded

- Total: 3
- Colored: 1
- Fraction: $ \frac{1}{3} $
- Decimal: $ \approx 0.333 $

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🟦 3. Circle divided into 6 parts, 1 shaded

- Total: 6
- Colored: 1
- Fraction: $ \frac{1}{6} $
- Decimal: $ \approx 0.167 $

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🟦 4. Circle divided into 4 parts, all 4 shaded

- Total: 4
- Colored: 4
- Fraction: $ \frac{4}{4} = 1 $
- Decimal: $ 1.0 $

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🟦 5. Circle divided into 8 parts, 5 shaded

- Total: 8
- Colored: 5
- Fraction: $ \frac{5}{8} $
- Decimal: $ 0.625 $

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🟦 6. Circle divided into 10 parts, 3 shaded

- Total: 10
- Colored: 3
- Fraction: $ \frac{3}{10} $
- Decimal: $ 0.3 $

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🟦 7. Circle divided into 4 parts, 2 shaded

- Total: 4
- Colored: 2
- Fraction: $ \frac{2}{4} = \frac{1}{2} $
- Decimal: $ 0.5 $

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🟦 8. Circle divided into 8 parts, 5 shaded

- Total: 8
- Colored: 5
- Fraction: $ \frac{5}{8} $
- Decimal: $ 0.625 $

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🟦 9. Full circle shaded (no divisions)

- This is a solid circle → whole
- Fraction: $ \frac{1}{1} = 1 $
- Decimal: $ 1.0 $

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🟦 10. Circle divided into 4 parts, 1 shaded

- Total: 4
- Colored: 1
- Fraction: $ \frac{1}{4} $
- Decimal: $ 0.25 $

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🟦 11. Circle divided into 8 parts, 7 shaded

- Total: 8
- Colored: 7
- Fraction: $ \frac{7}{8} $
- Decimal: $ 0.875 $

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🟦 12. Circle divided into 6 parts, 1 shaded

- Total: 6
- Colored: 1
- Fraction: $ \frac{1}{6} $
- Decimal: $ \approx 0.167 $

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🟦 13. Square grid: 10x10 = 100 squares, 40 green

- Total: 100
- Colored: 40
- Fraction: $ \frac{40}{100} = \frac{2}{5} $
- Decimal: $ 0.4 $

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🟦 14. Square grid: 10x10 = 100 squares, 20 green

- Total: 100
- Colored: 20
- Fraction: $ \frac{20}{100} = \frac{1}{5} $
- Decimal: $ 0.2 $

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🟦 15. Rectangle grid: 10x10 = 100 squares, 50 blue

- Total: 100
- Colored: 50
- Fraction: $ \frac{50}{100} = \frac{1}{2} $
- Decimal: $ 0.5 $

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🟦 16. Rectangle grid: 10x10 = 100 squares, 30 blue

- Total: 100
- Colored: 30
- Fraction: $ \frac{30}{100} = \frac{3}{10} $
- Decimal: $ 0.3 $

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✔ Final Answers:

#### Fractions:
| # | Fraction |
|---|---------|
| 1 | $ \frac{1}{2} $ |
| 2 | $ \frac{1}{3} $ |
| 3 | $ \frac{1}{6} $ |
| 4 | $ \frac{4}{4} $ or $ 1 $ |
| 5 | $ \frac{5}{8} $ |
| 6 | $ \frac{3}{10} $ |
| 7 | $ \frac{2}{4} $ or $ \frac{1}{2} $ |
| 8 | $ \frac{5}{8} $ |
| 9 | $ 1 $ |
|10 | $ \frac{1}{4} $ |
|11 | $ \frac{7}{8} $ |
|12 | $ \frac{1}{6} $ |
|13 | $ \frac{40}{100} $ or $ \frac{2}{5} $ |
|14 | $ \frac{20}{100} $ or $ \frac{1}{5} $ |
|15 | $ \frac{50}{100} $ or $ \frac{1}{2} $ |
|16 | $ \frac{30}{100} $ or $ \frac{3}{10} $ |

#### Decimals (Challenge):
| # | Decimal |
|---|--------|
| 1 | 0.5 |
| 2 | ≈ 0.333 |
| 3 | ≈ 0.167 |
| 4 | 1.0 |
| 5 | 0.625 |
| 6 | 0.3 |
| 7 | 0.5 |
| 8 | 0.625 |
| 9 | 1.0 |
|10 | 0.25 |
|11 | 0.875 |
|12 | ≈ 0.167 |
|13 | 0.4 |
|14 | 0.2 |
|15 | 0.5 |
|16 | 0.3 |

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✔ Answer Key for Challenge (Decimals):

1. 0.5
2. 0.333...
3. 0.167
4. 1.0
5. 0.625
6. 0.3
7. 0.5
8. 0.625
9. 1.0
10. 0.25
11. 0.875
12. 0.167
13. 0.4
14. 0.2
15. 0.5
16. 0.3

> Note: Some decimals are repeating (like $ \frac{1}{3} $), so use approximate values unless specified otherwise.

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Let me know if you'd like this formatted as a printable answer sheet!