Math Worksheets | Dynamically Created Math Worksheets - Free Printable
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Step-by-step solution for: Math Worksheets | Dynamically Created Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets | Dynamically Created Math Worksheets
Let's solve this step-by-step. The worksheet has two parts:
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We need to determine what fraction of each shape is shaded.
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#### 1) Circle divided into 4 equal parts, 1 part shaded
- Total parts = 4
- Shaded parts = 1
- Fraction = 1/4
#### 2) Rectangle divided into 2 equal parts, 1 part shaded
- Total parts = 2
- Shaded parts = 1
- Fraction = 1/2
#### 3) Circle divided into 8 equal parts, 3 parts shaded
- Total parts = 8
- Shaded parts = 3
- Fraction = 3/8
#### 4) Circle divided into 8 equal parts, 5 parts shaded
- Total parts = 8
- Shaded parts = 5
- Fraction = 5/8
#### 5) Rectangle divided into 5 equal parts, 3 parts shaded
- Total parts = 5
- Shaded parts = 3
- Fraction = 3/5
#### 6) Hexagon divided into 6 equal triangles, 3 shaded
- Total parts = 6
- Shaded parts = 3
- Fraction = 3/6 = 1/2
#### 7) Rectangle divided into 5 equal parts, 3 shaded
- Total parts = 5
- Shaded parts = 3
- Fraction = 3/5
#### 8) Circle divided into 6 equal parts, 1 part shaded
- Total parts = 6
- Shaded parts = 1
- Fraction = 1/6
#### 9) Circle divided into 8 equal parts, 2 parts shaded
- Total parts = 8
- Shaded parts = 2
- Fraction = 2/8 = 1/4
#### 10) Rectangle divided into 5 equal parts, 2 shaded
- Total parts = 5
- Shaded parts = 2
- Fraction = 2/5
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Now we shade the given shapes according to the fraction provided.
#### 11) Circle divided into 10 parts → shade 5/10
- Shade 5 out of 10 sections → 5 shaded
#### 12) Circle divided into 10 parts → shade 2/10
- Shade 2 out of 10 sections → 2 shaded
#### 13) Circle divided into 8 parts → shade 5/8
- Shade 5 out of 8 sections → 5 shaded
#### 14) Circle divided into 8 parts → shade 7/8
- Shade 7 out of 8 sections → 7 shaded
#### 15) Circle divided into 5 parts → shade 2/5
- Shade 2 out of 5 sections → 2 shaded
#### 16) Rectangle divided into 4 parts → shade 2/4
- Shade 2 out of 4 → 2 shaded
#### 17) Rectangle divided into 8 parts → shade 2/8
- Shade 2 out of 8 → 2 shaded
#### 18) Rectangle divided into 4 parts → shade 1/4
- Shade 1 out of 4 → 1 shaded
#### 19) Circle divided into 10 parts → shade 8/10
- Shade 8 out of 10 → 8 shaded
#### 20) Circle divided into 8 parts → shade 1/8
- Shade 1 out of 8 → 1 shaded
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| Question | Answer |
|--------|--------|
| 1) | 1/4 |
| 2) | 1/2 |
| 3) | 3/8 |
| 4) | 5/8 |
| 5) | 3/5 |
| 6) | 1/2 |
| 7) | 3/5 |
| 8) | 1/6 |
| 9) | 1/4 |
| 10) | 2/5 |
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For questions 11–20, you would shade the appropriate number of sections based on the fractions above.
For example:
- 11) Shade 5 out of 10 circle segments.
- 16) Shade 2 out of 4 rectangles.
- 20) Shade 1 out of 8 circle segments.
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Let me know if you'd like a visual representation or printable version!
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Part 1: What is the Fraction of the Shaded Area?
We need to determine what fraction of each shape is shaded.
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#### 1) Circle divided into 4 equal parts, 1 part shaded
- Total parts = 4
- Shaded parts = 1
- Fraction = 1/4
#### 2) Rectangle divided into 2 equal parts, 1 part shaded
- Total parts = 2
- Shaded parts = 1
- Fraction = 1/2
#### 3) Circle divided into 8 equal parts, 3 parts shaded
- Total parts = 8
- Shaded parts = 3
- Fraction = 3/8
#### 4) Circle divided into 8 equal parts, 5 parts shaded
- Total parts = 8
- Shaded parts = 5
- Fraction = 5/8
#### 5) Rectangle divided into 5 equal parts, 3 parts shaded
- Total parts = 5
- Shaded parts = 3
- Fraction = 3/5
#### 6) Hexagon divided into 6 equal triangles, 3 shaded
- Total parts = 6
- Shaded parts = 3
- Fraction = 3/6 = 1/2
#### 7) Rectangle divided into 5 equal parts, 3 shaded
- Total parts = 5
- Shaded parts = 3
- Fraction = 3/5
#### 8) Circle divided into 6 equal parts, 1 part shaded
- Total parts = 6
- Shaded parts = 1
- Fraction = 1/6
#### 9) Circle divided into 8 equal parts, 2 parts shaded
- Total parts = 8
- Shaded parts = 2
- Fraction = 2/8 = 1/4
#### 10) Rectangle divided into 5 equal parts, 2 shaded
- Total parts = 5
- Shaded parts = 2
- Fraction = 2/5
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Part 2: Shade the Figure with the Indicated Fraction
Now we shade the given shapes according to the fraction provided.
#### 11) Circle divided into 10 parts → shade 5/10
- Shade 5 out of 10 sections → 5 shaded
#### 12) Circle divided into 10 parts → shade 2/10
- Shade 2 out of 10 sections → 2 shaded
#### 13) Circle divided into 8 parts → shade 5/8
- Shade 5 out of 8 sections → 5 shaded
#### 14) Circle divided into 8 parts → shade 7/8
- Shade 7 out of 8 sections → 7 shaded
#### 15) Circle divided into 5 parts → shade 2/5
- Shade 2 out of 5 sections → 2 shaded
#### 16) Rectangle divided into 4 parts → shade 2/4
- Shade 2 out of 4 → 2 shaded
#### 17) Rectangle divided into 8 parts → shade 2/8
- Shade 2 out of 8 → 2 shaded
#### 18) Rectangle divided into 4 parts → shade 1/4
- Shade 1 out of 4 → 1 shaded
#### 19) Circle divided into 10 parts → shade 8/10
- Shade 8 out of 10 → 8 shaded
#### 20) Circle divided into 8 parts → shade 1/8
- Shade 1 out of 8 → 1 shaded
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✔ Final Answers (for Part 1):
| Question | Answer |
|--------|--------|
| 1) | 1/4 |
| 2) | 1/2 |
| 3) | 3/8 |
| 4) | 5/8 |
| 5) | 3/5 |
| 6) | 1/2 |
| 7) | 3/5 |
| 8) | 1/6 |
| 9) | 1/4 |
| 10) | 2/5 |
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🔧 Instructions for Part 2:
For questions 11–20, you would shade the appropriate number of sections based on the fractions above.
For example:
- 11) Shade 5 out of 10 circle segments.
- 16) Shade 2 out of 4 rectangles.
- 20) Shade 1 out of 8 circle segments.
---
Let me know if you'd like a visual representation or printable version!
Parent Tip: Review the logic above to help your child master the concept of basic math worksheet for adults.