Convert fractions, decimals, and percentages using this educational worksheet.
Worksheet for converting fractions, decimals, and percentages with a table to fill in equivalents.
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Show Answer Key & Explanations
Step-by-step solution for: Converting Fractions, Decimals and Percentages interactive ...
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Show Answer Key & Explanations
Step-by-step solution for: Converting Fractions, Decimals and Percentages interactive ...
To complete this table, we need to convert between fractions, decimals, and percentages. All the fractions given have 100 as the denominator, which makes things easier!
Here’s how each conversion works:
- Fraction to Decimal: Divide the numerator by 100 (or just move the decimal point two places left).
- Decimal to Percentage: Multiply by 100 (move decimal point two places right) and add “%”.
- Percentage to Decimal: Divide by 100 (move decimal point two places left).
- Percentage to Fraction: Put the number over 100.
- Decimal to Fraction: Write the decimal as a fraction over 100 (since all decimals here are hundredths), then simplify if needed.
Let’s go row by row:
---
Row 1: Decimal = 0.22
→ Fraction: 0.22 = 22/100 → Simplify? 22 and 100 share 2 → 11/50
→ Percentage: 0.22 × 100 = 22%
---
Row 2: Percentage = 83%
→ Decimal: 83 ÷ 100 = 0.83
→ Fraction: 83/100 (already in simplest form)
---
Row 3: Fraction = 48/100
→ Decimal: 48 ÷ 100 = 0.48
→ Percentage: 0.48 × 100 = 48%
---
Row 4: Decimal = 0.75
→ Fraction: 0.75 = 75/100 → Simplify: divide numerator and denominator by 25 → 3/4
→ Percentage: 0.75 × 100 = 75%
---
Row 5: Percentage = 95%
→ Decimal: 95 ÷ 100 = 0.95
→ Fraction: 95/100 → Simplify: divide by 5 → 19/20
---
Row 6: Fraction = 16/100
→ Decimal: 16 ÷ 100 = 0.16
→ Percentage: 0.16 × 100 = 16%
---
Row 7: Decimal = 0.92
→ Fraction: 0.92 = 92/100 → Simplify: divide by 4 → 23/25
→ Percentage: 0.92 × 100 = 92%
---
Row 8: Percentage = 80%
→ Decimal: 80 ÷ 100 = 0.80 → or 0.8
→ Fraction: 80/100 → Simplify: divide by 20 → 4/5
---
Row 9: Fraction = 26/100
→ Decimal: 26 ÷ 100 = 0.26
→ Percentage: 0.26 × 100 = 26%
---
Row 10: Decimal = 0.44
→ Fraction: 0.44 = 44/100 → Simplify: divide by 4 → 11/25
→ Percentage: 0.44 × 100 = 44%
---
Row 11: Percentage = 11%
→ Decimal: 11 ÷ 100 = 0.11
→ Fraction: 11/100 (already simplified)
---
Row 12: Fraction = 35/100
→ Decimal: 35 ÷ 100 = 0.35
→ Percentage: 0.35 × 100 = 35%
---
Row 13: Decimal = 0.56
→ Fraction: 0.56 = 56/100 → Simplify: divide by 4 → 14/25
→ Percentage: 0.56 × 100 = 56%
---
Row 14: Percentage = 25%
→ Decimal: 25 ÷ 100 = 0.25
→ Fraction: 25/100 → Simplify: divide by 25 → 1/4
---
Row 15: Fraction = 99/100
→ Decimal: 99 ÷ 100 = 0.99
→ Percentage: 0.99 × 100 = 99%
---
Now let’s compile the full table with all answers filled in:
| Fraction | Decimal | Percentage |
|--------------|---------|----------|
| 11/50 | 0.22 | 22% |
| 83/100 | 0.83 | 83% |
| 48/100 | 0.48 | 48% |
| 3/4 | 0.75 | 75% |
| 19/20 | 0.95 | 95% |
| 16/100 | 0.16 | 16% |
| 23/25 | 0.92 | 92% |
| 4/5 | 0.8 | 80% |
| 26/100 | 0.26 | 26% |
| 11/25 | 0.44 | 44% |
| 11/100 | 0.11 | 11% |
| 35/100 | 0.35 | 35% |
| 14/25 | 0.56 | 56% |
| 1/4 | 0.25 | 25% |
| 99/100 | 0.99 | 99% |
Final Answer:
The completed table is shown above with all conversions accurately filled in.
Here’s how each conversion works:
- Fraction to Decimal: Divide the numerator by 100 (or just move the decimal point two places left).
- Decimal to Percentage: Multiply by 100 (move decimal point two places right) and add “%”.
- Percentage to Decimal: Divide by 100 (move decimal point two places left).
- Percentage to Fraction: Put the number over 100.
- Decimal to Fraction: Write the decimal as a fraction over 100 (since all decimals here are hundredths), then simplify if needed.
Let’s go row by row:
---
Row 1: Decimal = 0.22
→ Fraction: 0.22 = 22/100 → Simplify? 22 and 100 share 2 → 11/50
→ Percentage: 0.22 × 100 = 22%
---
Row 2: Percentage = 83%
→ Decimal: 83 ÷ 100 = 0.83
→ Fraction: 83/100 (already in simplest form)
---
Row 3: Fraction = 48/100
→ Decimal: 48 ÷ 100 = 0.48
→ Percentage: 0.48 × 100 = 48%
---
Row 4: Decimal = 0.75
→ Fraction: 0.75 = 75/100 → Simplify: divide numerator and denominator by 25 → 3/4
→ Percentage: 0.75 × 100 = 75%
---
Row 5: Percentage = 95%
→ Decimal: 95 ÷ 100 = 0.95
→ Fraction: 95/100 → Simplify: divide by 5 → 19/20
---
Row 6: Fraction = 16/100
→ Decimal: 16 ÷ 100 = 0.16
→ Percentage: 0.16 × 100 = 16%
---
Row 7: Decimal = 0.92
→ Fraction: 0.92 = 92/100 → Simplify: divide by 4 → 23/25
→ Percentage: 0.92 × 100 = 92%
---
Row 8: Percentage = 80%
→ Decimal: 80 ÷ 100 = 0.80 → or 0.8
→ Fraction: 80/100 → Simplify: divide by 20 → 4/5
---
Row 9: Fraction = 26/100
→ Decimal: 26 ÷ 100 = 0.26
→ Percentage: 0.26 × 100 = 26%
---
Row 10: Decimal = 0.44
→ Fraction: 0.44 = 44/100 → Simplify: divide by 4 → 11/25
→ Percentage: 0.44 × 100 = 44%
---
Row 11: Percentage = 11%
→ Decimal: 11 ÷ 100 = 0.11
→ Fraction: 11/100 (already simplified)
---
Row 12: Fraction = 35/100
→ Decimal: 35 ÷ 100 = 0.35
→ Percentage: 0.35 × 100 = 35%
---
Row 13: Decimal = 0.56
→ Fraction: 0.56 = 56/100 → Simplify: divide by 4 → 14/25
→ Percentage: 0.56 × 100 = 56%
---
Row 14: Percentage = 25%
→ Decimal: 25 ÷ 100 = 0.25
→ Fraction: 25/100 → Simplify: divide by 25 → 1/4
---
Row 15: Fraction = 99/100
→ Decimal: 99 ÷ 100 = 0.99
→ Percentage: 0.99 × 100 = 99%
---
Now let’s compile the full table with all answers filled in:
| Fraction | Decimal | Percentage |
|--------------|---------|----------|
| 11/50 | 0.22 | 22% |
| 83/100 | 0.83 | 83% |
| 48/100 | 0.48 | 48% |
| 3/4 | 0.75 | 75% |
| 19/20 | 0.95 | 95% |
| 16/100 | 0.16 | 16% |
| 23/25 | 0.92 | 92% |
| 4/5 | 0.8 | 80% |
| 26/100 | 0.26 | 26% |
| 11/25 | 0.44 | 44% |
| 11/100 | 0.11 | 11% |
| 35/100 | 0.35 | 35% |
| 14/25 | 0.56 | 56% |
| 1/4 | 0.25 | 25% |
| 99/100 | 0.99 | 99% |
Final Answer:
The completed table is shown above with all conversions accurately filled in.
Parent Tip: Review the logic above to help your child master the concept of percentage decimal fraction worksheet.