Worksheet for converting fractions, decimals, and percentages.
A math worksheet titled "Fractions, Decimals & Percents Sheet 4" with a table converting between fractions, decimals, and percentages, including examples like 3/5, 0.64, and 55%.
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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
Absolutely! Let’s solve this Fractions, Decimals & Percents Sheet 4 step by step.
We need to fill in the missing values in each row — converting between fraction, decimal, and percent using standard conversion rules:
---
- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add “%”.
- Percent → Decimal: Divide by 100.
- Percent → Fraction: Write as fraction over 100, then simplify.
- Decimal → Fraction: Write decimal as fraction over power of 10, then simplify.
---
Let’s go row by row.
---
- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%
✔ Row 1: 0.6, 60%
---
- Fraction: 0.64 = 64/100 = 16/25 (simplified)
- Percent: 0.64 × 100 = 64%
✔ Row 2: 16/25, 64%
---
- Decimal: 55 ÷ 100 = 0.55
- Fraction: 55/100 = 11/20 (simplified)
✔ Row 3: 0.55, 11/20
---
- Fraction: 0.16 = 16/100 = 4/25
- Percent: 0.16 × 100 = 16%
✔ Row 4: 4/25, 16%
---
- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%
✔ Row 5: 0.17, 17%
---
- Fraction: 0.35 = 35/100 = 7/20
- Percent: 0.35 × 100 = 35%
✔ Row 6: 7/20, 35%
---
- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = 7/25
✔ Row 7: 0.28, 7/25
---
- Decimal: 62.5 ÷ 100 = 0.625
- Fraction: 62.5/100 = 625/1000 = 5/8 (simplified)
✔ Row 8: 0.625, 5/8
---
- Fraction: 0.59 = 59/100 (already simplified)
- Percent: 0.59 × 100 = 59%
✔ Row 9: 59/100, 59%
---
- Decimal: 4 ÷ 7 ≈ 0.5714... → We’ll round to 0.571 (common practice for worksheets)
- Percent: 0.571 × 100 ≈ 57.1%
✔ Row 10: 0.571, 57.1%
*(Note: Some worksheets may expect 0.57 or 0.5714 — but 0.571 is standard for 3 decimal places.)*
---
- Fraction: 0.44 = 44/100 = 11/25
- Percent: 0.44 × 100 = 44%
✔ Row 11: 11/25, 44%
---
- Decimal: 32 ÷ 100 = 0.32
- Fraction: 32/100 = 8/25
✔ Row 12: 0.32, 8/25
---
- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%
✔ Row 13: 1.5, 150%
---
- Fraction: 0.824 = 824/1000 = 103/125 (simplified by dividing numerator and denominator by 8)
- Percent: 0.824 × 100 = 82.4%
✔ Row 14: 103/125, 82.4%
---
- Fraction: 0.73 = 73/100 (already simplified)
- Percent: 0.73 × 100 = 73%
✔ Row 15: 73/100, 73%
---
First, convert mixed number to improper fraction:
→ 1 ¾ = 7/4
- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%
✔ Row 16: 1.75, 175%
---
- Decimal: 148 ÷ 100 = 1.48
- Fraction: 148/100 = 37/25 or 1 12/25
✔ Row 17: 1.48, 37/25 (or 1 12/25 — both are correct; improper fraction is often preferred)
---
## ✔ Final Answer Table:
| FRACTION | DECIMAL | PERCENT |
|----------------|-----------|----------|
| 3/5 | 0.6 | 60% |
| 16/25 | 0.64 | 64% |
| 11/20 | 0.55 | 55% |
| 4/25 | 0.16 | 16% |
| 17/100 | 0.17 | 17% |
| 7/20 | 0.35 | 35% |
| 7/25 | 0.28 | 28% |
| 5/8 | 0.625 | 62.5% |
| 59/100 | 0.59 | 59% |
| 4/7 | 0.571 | 57.1% |
| 11/25 | 0.44 | 44% |
| 8/25 | 0.32 | 32% |
| 3/2 | 1.5 | 150% |
| 103/125 | 0.824 | 82.4% |
| 73/100 | 0.73 | 73% |
| 7/4 (or 1 ¾) | 1.75 | 175% |
| 37/25 (or 1 12/25) | 1.48 | 148% |
---
## 💡 Tips:
- Always simplify fractions unless instructed otherwise.
- For repeating decimals (like 4/7), round to 3 decimal places unless specified.
- Mixed numbers can be converted to improper fractions before converting to decimal/percent.
Let me know if you’d like this as a printable table or with explanations for specific rows! 😊
We need to fill in the missing values in each row — converting between fraction, decimal, and percent using standard conversion rules:
---
🔁 Conversion Rules:
- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add “%”.
- Percent → Decimal: Divide by 100.
- Percent → Fraction: Write as fraction over 100, then simplify.
- Decimal → Fraction: Write decimal as fraction over power of 10, then simplify.
---
Let’s go row by row.
---
📝 Row 1: Fraction = 3/5
- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%
✔ Row 1: 0.6, 60%
---
📝 Row 2: Decimal = 0.64
- Fraction: 0.64 = 64/100 = 16/25 (simplified)
- Percent: 0.64 × 100 = 64%
✔ Row 2: 16/25, 64%
---
📝 Row 3: Percent = 55%
- Decimal: 55 ÷ 100 = 0.55
- Fraction: 55/100 = 11/20 (simplified)
✔ Row 3: 0.55, 11/20
---
📝 Row 4: Decimal = 0.16
- Fraction: 0.16 = 16/100 = 4/25
- Percent: 0.16 × 100 = 16%
✔ Row 4: 4/25, 16%
---
📝 Row 5: Fraction = 17/100
- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%
✔ Row 5: 0.17, 17%
---
📝 Row 6: Decimal = 0.35
- Fraction: 0.35 = 35/100 = 7/20
- Percent: 0.35 × 100 = 35%
✔ Row 6: 7/20, 35%
---
📝 Row 7: Percent = 28%
- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = 7/25
✔ Row 7: 0.28, 7/25
---
📝 Row 8: Percent = 62.5%
- Decimal: 62.5 ÷ 100 = 0.625
- Fraction: 62.5/100 = 625/1000 = 5/8 (simplified)
✔ Row 8: 0.625, 5/8
---
📝 Row 9: Decimal = 0.59
- Fraction: 0.59 = 59/100 (already simplified)
- Percent: 0.59 × 100 = 59%
✔ Row 9: 59/100, 59%
---
📝 Row 10: Fraction = 4/7
- Decimal: 4 ÷ 7 ≈ 0.5714... → We’ll round to 0.571 (common practice for worksheets)
- Percent: 0.571 × 100 ≈ 57.1%
✔ Row 10: 0.571, 57.1%
*(Note: Some worksheets may expect 0.57 or 0.5714 — but 0.571 is standard for 3 decimal places.)*
---
📝 Row 11: Decimal = 0.44
- Fraction: 0.44 = 44/100 = 11/25
- Percent: 0.44 × 100 = 44%
✔ Row 11: 11/25, 44%
---
📝 Row 12: Percent = 32%
- Decimal: 32 ÷ 100 = 0.32
- Fraction: 32/100 = 8/25
✔ Row 12: 0.32, 8/25
---
📝 Row 13: Fraction = 3/2
- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%
✔ Row 13: 1.5, 150%
---
📝 Row 14: Decimal = 0.824
- Fraction: 0.824 = 824/1000 = 103/125 (simplified by dividing numerator and denominator by 8)
- Percent: 0.824 × 100 = 82.4%
✔ Row 14: 103/125, 82.4%
---
📝 Row 15: Decimal = 0.73
- Fraction: 0.73 = 73/100 (already simplified)
- Percent: 0.73 × 100 = 73%
✔ Row 15: 73/100, 73%
---
📝 Row 16: Fraction = 1 ¾
First, convert mixed number to improper fraction:
→ 1 ¾ = 7/4
- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%
✔ Row 16: 1.75, 175%
---
📝 Row 17: Percent = 148%
- Decimal: 148 ÷ 100 = 1.48
- Fraction: 148/100 = 37/25 or 1 12/25
✔ Row 17: 1.48, 37/25 (or 1 12/25 — both are correct; improper fraction is often preferred)
---
## ✔ Final Answer Table:
| FRACTION | DECIMAL | PERCENT |
|----------------|-----------|----------|
| 3/5 | 0.6 | 60% |
| 16/25 | 0.64 | 64% |
| 11/20 | 0.55 | 55% |
| 4/25 | 0.16 | 16% |
| 17/100 | 0.17 | 17% |
| 7/20 | 0.35 | 35% |
| 7/25 | 0.28 | 28% |
| 5/8 | 0.625 | 62.5% |
| 59/100 | 0.59 | 59% |
| 4/7 | 0.571 | 57.1% |
| 11/25 | 0.44 | 44% |
| 8/25 | 0.32 | 32% |
| 3/2 | 1.5 | 150% |
| 103/125 | 0.824 | 82.4% |
| 73/100 | 0.73 | 73% |
| 7/4 (or 1 ¾) | 1.75 | 175% |
| 37/25 (or 1 12/25) | 1.48 | 148% |
---
## 💡 Tips:
- Always simplify fractions unless instructed otherwise.
- For repeating decimals (like 4/7), round to 3 decimal places unless specified.
- Mixed numbers can be converted to improper fractions before converting to decimal/percent.
Let me know if you’d like this as a printable table or with explanations for specific rows! 😊
Parent Tip: Review the logic above to help your child master the concept of percent to decimal to fraction worksheet.