Fractions Decimals Percents Worksheets - Free Printable
Educational worksheet: Fractions Decimals Percents Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Fractions Decimals Percents Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Fractions Decimals Percents Worksheets
Let’s go step by step to convert each decimal into a percent and then into a fraction.
---
- Decimal → Percent: Multiply the decimal by 100 and add the % sign.
- Example: 0.25 × 100 = 25%
- Decimal → Fraction: Write the decimal as a fraction over 10, 100, 1000, etc., depending on how many decimal places it has. Then simplify if possible.
- Example: 0.25 = 25/100 = 1/4
We’ll do this for every row.
---
#### Row 1 (already done):
0.25 → 25% → 25/100 = 1/4 ✔
---
#### Row 2: 0.9
→ Percent: 0.9 × 100 = 90%
→ Fraction: 0.9 = 9/10 → already simplified → 9/10
---
#### Row 3: 0.28
→ Percent: 0.28 × 100 = 28%
→ Fraction: 0.28 = 28/100 → divide numerator and denominator by 4 → 7/25
---
#### Row 4: 0.84
→ Percent: 0.84 × 100 = 84%
→ Fraction: 0.84 = 84/100 → divide by 4 → 21/25
---
#### Row 5: 0.75
→ Percent: 0.75 × 100 = 75%
→ Fraction: 0.75 = 75/100 → divide by 25 → 3/4
---
#### Row 6: 0.3
→ Percent: 0.3 × 100 = 30%
→ Fraction: 0.3 = 3/10 → already simplified → 3/10
---
#### Row 7: 0.09
→ Percent: 0.09 × 100 = 9%
→ Fraction: 0.09 = 9/100 → already simplified → 9/100
---
#### Row 8: 0.375
→ Percent: 0.375 × 100 = 37.5%
→ Fraction: 0.375 = 375/1000 → divide by 125 → 3/8
*(Check: 3 ÷ 8 = 0.375 — correct!)*
---
#### Row 9: 1.4
→ Percent: 1.4 × 100 = 140%
→ Fraction: 1.4 = 14/10 → simplify → 7/5 or 1 2/5 (we’ll use improper fraction unless told otherwise) → 7/5
---
#### Row 10: 0.27
→ Percent: 0.27 × 100 = 27%
→ Fraction: 0.27 = 27/100 → already simplified → 27/100
---
#### Row 11: 0.15
→ Percent: 0.15 × 100 = 15%
→ Fraction: 0.15 = 15/100 → divide by 5 → 3/20
---
#### Row 12: 0.006
→ Percent: 0.006 × 100 = 0.6%
→ Fraction: 0.006 = 6/1000 → divide by 2 → 3/500
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#### Row 13: 0.625
→ Percent: 0.625 × 100 = 62.5%
→ Fraction: 0.625 = 625/1000 → divide by 125 → 5/8
*(Check: 5 ÷ 8 = 0.625 — correct!)*
---
#### Row 14: 1.75
→ Percent: 1.75 × 100 = 175%
→ Fraction: 1.75 = 175/100 → divide by 25 → 7/4 or 1 3/4 → we’ll write 7/4
---
#### Row 15: 1.14
→ Percent: 1.14 × 100 = 114%
→ Fraction: 1.14 = 114/100 → divide by 2 → 57/50
---
#### Row 16: 0.72
→ Percent: 0.72 × 100 = 72%
→ Fraction: 0.72 = 72/100 → divide by 4 → 18/25
---
#### Row 17: 0.01
→ Percent: 0.01 × 100 = 1%
→ Fraction: 0.01 = 1/100 → already simplified → 1/100
---
✔ All calculations checked!
Final Answer:
| DECIMAL | PERCENT | FRACTION |
|---------|-----------|--------------|
| 0.25 | 25% | 1/4 |
| 0.9 | 90% | 9/10 |
| 0.28 | 28% | 7/25 |
| 0.84 | 84% | 21/25 |
| 0.75 | 75% | 3/4 |
| 0.3 | 30% | 3/10 |
| 0.09 | 9% | 9/100 |
| 0.375 | 37.5% | 3/8 |
| 1.4 | 140% | 7/5 |
| 0.27 | 27% | 27/100 |
| 0.15 | 15% | 3/20 |
| 0.006 | 0.6% | 3/500 |
| 0.625 | 62.5% | 5/8 |
| 1.75 | 175% | 7/4 |
| 1.14 | 114% | 57/50 |
| 0.72 | 72% | 18/25 |
| 0.01 | 1% | 1/100 |
---
How to convert:
- Decimal → Percent: Multiply the decimal by 100 and add the % sign.
- Example: 0.25 × 100 = 25%
- Decimal → Fraction: Write the decimal as a fraction over 10, 100, 1000, etc., depending on how many decimal places it has. Then simplify if possible.
- Example: 0.25 = 25/100 = 1/4
We’ll do this for every row.
---
#### Row 1 (already done):
0.25 → 25% → 25/100 = 1/4 ✔
---
#### Row 2: 0.9
→ Percent: 0.9 × 100 = 90%
→ Fraction: 0.9 = 9/10 → already simplified → 9/10
---
#### Row 3: 0.28
→ Percent: 0.28 × 100 = 28%
→ Fraction: 0.28 = 28/100 → divide numerator and denominator by 4 → 7/25
---
#### Row 4: 0.84
→ Percent: 0.84 × 100 = 84%
→ Fraction: 0.84 = 84/100 → divide by 4 → 21/25
---
#### Row 5: 0.75
→ Percent: 0.75 × 100 = 75%
→ Fraction: 0.75 = 75/100 → divide by 25 → 3/4
---
#### Row 6: 0.3
→ Percent: 0.3 × 100 = 30%
→ Fraction: 0.3 = 3/10 → already simplified → 3/10
---
#### Row 7: 0.09
→ Percent: 0.09 × 100 = 9%
→ Fraction: 0.09 = 9/100 → already simplified → 9/100
---
#### Row 8: 0.375
→ Percent: 0.375 × 100 = 37.5%
→ Fraction: 0.375 = 375/1000 → divide by 125 → 3/8
*(Check: 3 ÷ 8 = 0.375 — correct!)*
---
#### Row 9: 1.4
→ Percent: 1.4 × 100 = 140%
→ Fraction: 1.4 = 14/10 → simplify → 7/5 or 1 2/5 (we’ll use improper fraction unless told otherwise) → 7/5
---
#### Row 10: 0.27
→ Percent: 0.27 × 100 = 27%
→ Fraction: 0.27 = 27/100 → already simplified → 27/100
---
#### Row 11: 0.15
→ Percent: 0.15 × 100 = 15%
→ Fraction: 0.15 = 15/100 → divide by 5 → 3/20
---
#### Row 12: 0.006
→ Percent: 0.006 × 100 = 0.6%
→ Fraction: 0.006 = 6/1000 → divide by 2 → 3/500
---
#### Row 13: 0.625
→ Percent: 0.625 × 100 = 62.5%
→ Fraction: 0.625 = 625/1000 → divide by 125 → 5/8
*(Check: 5 ÷ 8 = 0.625 — correct!)*
---
#### Row 14: 1.75
→ Percent: 1.75 × 100 = 175%
→ Fraction: 1.75 = 175/100 → divide by 25 → 7/4 or 1 3/4 → we’ll write 7/4
---
#### Row 15: 1.14
→ Percent: 1.14 × 100 = 114%
→ Fraction: 1.14 = 114/100 → divide by 2 → 57/50
---
#### Row 16: 0.72
→ Percent: 0.72 × 100 = 72%
→ Fraction: 0.72 = 72/100 → divide by 4 → 18/25
---
#### Row 17: 0.01
→ Percent: 0.01 × 100 = 1%
→ Fraction: 0.01 = 1/100 → already simplified → 1/100
---
✔ All calculations checked!
Final Answer:
| DECIMAL | PERCENT | FRACTION |
|---------|-----------|--------------|
| 0.25 | 25% | 1/4 |
| 0.9 | 90% | 9/10 |
| 0.28 | 28% | 7/25 |
| 0.84 | 84% | 21/25 |
| 0.75 | 75% | 3/4 |
| 0.3 | 30% | 3/10 |
| 0.09 | 9% | 9/100 |
| 0.375 | 37.5% | 3/8 |
| 1.4 | 140% | 7/5 |
| 0.27 | 27% | 27/100 |
| 0.15 | 15% | 3/20 |
| 0.006 | 0.6% | 3/500 |
| 0.625 | 62.5% | 5/8 |
| 1.75 | 175% | 7/4 |
| 1.14 | 114% | 57/50 |
| 0.72 | 72% | 18/25 |
| 0.01 | 1% | 1/100 |
Parent Tip: Review the logic above to help your child master the concept of converting percentages worksheet.