Fraction Decimal Percent Conversion NO PREP Printable Worksheet ... - Free Printable
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Step-by-step solution for: Fraction Decimal Percent Conversion NO PREP Printable Worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Decimal Percent Conversion NO PREP Printable Worksheet ...
Let's solve the problem step by step. The table asks you to convert between decimals, fractions, and percents. We'll fill in each missing value.
---
- Percent → Decimal: Divide by 100
Example: 18% = 18 ÷ 100 = 0.18
- Decimal → Percent: Multiply by 100
Example: 0.35 = 35%
- Fraction → Decimal: Divide numerator by denominator
Example: 3/10 = 0.3
- Decimal → Fraction: Write as a fraction over 10, 100, etc., then simplify
Example: 0.75 = 75/100 = 3/4
- Percent → Fraction: Write percent over 100, then simplify
Example: 28% = 28/100 = 7/25
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Now let’s fill in the table row by row.
---
| Decimal | Fraction | Percent |
|--------|---------|--------|
| | | 18% |
| | | 28% |
| | | 78% |
| | | 96% |
| | | 50% |
| | 3/10 | |
| | 2/5 | |
| | 1/4 | |
| | 1/20 | |
| | 1/5 | |
| 0.35 | | |
| 0.75 | | |
| 0.8 | | |
| 0.04 | | |
| 0.65 | | |
---
- Percent: 18%
- Decimal: 18 ÷ 100 = 0.18
- Fraction: 18/100 = 9/50 → 9/50
✔ Row: 0.18, 9/50, 18%
---
- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = 7/25 → 7/25
✔ Row: 0.28, 7/25, 28%
---
- Decimal: 78 ÷ 100 = 0.78
- Fraction: 78/100 = 39/50 → 39/50
✔ Row: 0.78, 39/50, 78%
---
- Decimal: 96 ÷ 100 = 0.96
- Fraction: 96/100 = 24/25 → 24/25
✔ Row: 0.96, 24/25, 96%
---
- Decimal: 50 ÷ 100 = 0.50
- Fraction: 50/100 = 1/2 → 1/2
✔ Row: 0.50, 1/2, 50%
---
- Decimal: 3 ÷ 10 = 0.3
- Percent: 0.3 × 100 = 30%
✔ Row: 0.3, 3/10, 30%
---
- Decimal: 2 ÷ 5 = 0.4
- Percent: 0.4 × 100 = 40%
✔ Row: 0.4, 2/5, 40%
---
- Decimal: 1 ÷ 4 = 0.25
- Percent: 0.25 × 100 = 25%
✔ Row: 0.25, 1/4, 25%
---
- Decimal: 1 ÷ 20 = 0.05
- Percent: 0.05 × 100 = 5%
✔ Row: 0.05, 1/20, 5%
---
- Decimal: 1 ÷ 5 = 0.2
- Percent: 0.2 × 100 = 20%
✔ Row: 0.2, 1/5, 20%
---
- Percent: 0.35 × 100 = 35%
- Fraction: 35/100 = 7/20 → 7/20
✔ Row: 0.35, 7/20, 35%
---
- Percent: 0.75 × 100 = 75%
- Fraction: 75/100 = 3/4 → 3/4
✔ Row: 0.75, 3/4, 75%
---
- Percent: 0.8 × 100 = 80%
- Fraction: 8/10 = 4/5 → 4/5
✔ Row: 0.8, 4/5, 80%
---
- Percent: 0.04 × 100 = 4%
- Fraction: 4/100 = 1/25 → 1/25
✔ Row: 0.04, 1/25, 4%
---
- Percent: 0.65 × 100 = 65%
- Fraction: 65/100 = 13/20 → 13/20
✔ Row: 0.65, 13/20, 65%
---
| Decimal | Fraction | Percent |
|--------|---------|--------|
| 0.18 | 9/50 | 18% |
| 0.28 | 7/25 | 28% |
| 0.78 | 39/50 | 78% |
| 0.96 | 24/25 | 96% |
| 0.50 | 1/2 | 50% |
| 0.3 | 3/10 | 30% |
| 0.4 | 2/5 | 40% |
| 0.25 | 1/4 | 25% |
| 0.05 | 1/20 | 5% |
| 0.2 | 1/5 | 20% |
| 0.35 | 7/20 | 35% |
| 0.75 | 3/4 | 75% |
| 0.8 | 4/5 | 80% |
| 0.04 | 1/25 | 4% |
| 0.65 | 13/20 | 65% |
---
- Always simplify fractions.
- Use multiplication/division by 100 for decimal ↔ percent.
- For decimals to fractions, write over powers of 10 and simplify.
Let me know if you'd like this as a printable version or with explanations for each!
---
Step 1: Understand the conversions
- Percent → Decimal: Divide by 100
Example: 18% = 18 ÷ 100 = 0.18
- Decimal → Percent: Multiply by 100
Example: 0.35 = 35%
- Fraction → Decimal: Divide numerator by denominator
Example: 3/10 = 0.3
- Decimal → Fraction: Write as a fraction over 10, 100, etc., then simplify
Example: 0.75 = 75/100 = 3/4
- Percent → Fraction: Write percent over 100, then simplify
Example: 28% = 28/100 = 7/25
---
Now let’s fill in the table row by row.
---
Given Table (with blanks):
| Decimal | Fraction | Percent |
|--------|---------|--------|
| | | 18% |
| | | 28% |
| | | 78% |
| | | 96% |
| | | 50% |
| | 3/10 | |
| | 2/5 | |
| | 1/4 | |
| | 1/20 | |
| | 1/5 | |
| 0.35 | | |
| 0.75 | | |
| 0.8 | | |
| 0.04 | | |
| 0.65 | | |
---
Row 1: 18%
- Percent: 18%
- Decimal: 18 ÷ 100 = 0.18
- Fraction: 18/100 = 9/50 → 9/50
✔ Row: 0.18, 9/50, 18%
---
Row 2: 28%
- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = 7/25 → 7/25
✔ Row: 0.28, 7/25, 28%
---
Row 3: 78%
- Decimal: 78 ÷ 100 = 0.78
- Fraction: 78/100 = 39/50 → 39/50
✔ Row: 0.78, 39/50, 78%
---
Row 4: 96%
- Decimal: 96 ÷ 100 = 0.96
- Fraction: 96/100 = 24/25 → 24/25
✔ Row: 0.96, 24/25, 96%
---
Row 5: 50%
- Decimal: 50 ÷ 100 = 0.50
- Fraction: 50/100 = 1/2 → 1/2
✔ Row: 0.50, 1/2, 50%
---
Row 6: Fraction = 3/10
- Decimal: 3 ÷ 10 = 0.3
- Percent: 0.3 × 100 = 30%
✔ Row: 0.3, 3/10, 30%
---
Row 7: Fraction = 2/5
- Decimal: 2 ÷ 5 = 0.4
- Percent: 0.4 × 100 = 40%
✔ Row: 0.4, 2/5, 40%
---
Row 8: Fraction = 1/4
- Decimal: 1 ÷ 4 = 0.25
- Percent: 0.25 × 100 = 25%
✔ Row: 0.25, 1/4, 25%
---
Row 9: Fraction = 1/20
- Decimal: 1 ÷ 20 = 0.05
- Percent: 0.05 × 100 = 5%
✔ Row: 0.05, 1/20, 5%
---
Row 10: Fraction = 1/5
- Decimal: 1 ÷ 5 = 0.2
- Percent: 0.2 × 100 = 20%
✔ Row: 0.2, 1/5, 20%
---
Row 11: Decimal = 0.35
- Percent: 0.35 × 100 = 35%
- Fraction: 35/100 = 7/20 → 7/20
✔ Row: 0.35, 7/20, 35%
---
Row 12: Decimal = 0.75
- Percent: 0.75 × 100 = 75%
- Fraction: 75/100 = 3/4 → 3/4
✔ Row: 0.75, 3/4, 75%
---
Row 13: Decimal = 0.8
- Percent: 0.8 × 100 = 80%
- Fraction: 8/10 = 4/5 → 4/5
✔ Row: 0.8, 4/5, 80%
---
Row 14: Decimal = 0.04
- Percent: 0.04 × 100 = 4%
- Fraction: 4/100 = 1/25 → 1/25
✔ Row: 0.04, 1/25, 4%
---
Row 15: Decimal = 0.65
- Percent: 0.65 × 100 = 65%
- Fraction: 65/100 = 13/20 → 13/20
✔ Row: 0.65, 13/20, 65%
---
✔ Final Completed Table:
| Decimal | Fraction | Percent |
|--------|---------|--------|
| 0.18 | 9/50 | 18% |
| 0.28 | 7/25 | 28% |
| 0.78 | 39/50 | 78% |
| 0.96 | 24/25 | 96% |
| 0.50 | 1/2 | 50% |
| 0.3 | 3/10 | 30% |
| 0.4 | 2/5 | 40% |
| 0.25 | 1/4 | 25% |
| 0.05 | 1/20 | 5% |
| 0.2 | 1/5 | 20% |
| 0.35 | 7/20 | 35% |
| 0.75 | 3/4 | 75% |
| 0.8 | 4/5 | 80% |
| 0.04 | 1/25 | 4% |
| 0.65 | 13/20 | 65% |
---
🔍 Summary of Key Conversions:
- Always simplify fractions.
- Use multiplication/division by 100 for decimal ↔ percent.
- For decimals to fractions, write over powers of 10 and simplify.
Let me know if you'd like this as a printable version or with explanations for each!
Parent Tip: Review the logic above to help your child master the concept of decimal fraction percent worksheet.