Converting Fractions, Decimals and Percentages interactive ... - Free Printable
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Step-by-step solution for: Converting Fractions, Decimals and Percentages interactive ...
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Step-by-step solution for: Converting Fractions, Decimals and Percentages interactive ...
Let's solve the problem step by step by converting fractions, decimals, and percentages into their equivalents.
We will fill in the missing values in the table using the following conversion rules:
- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percentage: Multiply decimal by 100 and add %.
- Percentage → Decimal: Divide percentage by 100.
- Decimal → Fraction: Write as a fraction over 100 (if needed), then simplify.
- Percentage → Fraction: Write over 100, then simplify.
- Fraction → Percentage: Convert to decimal first, then to percentage.
---
#### Row 1:
- Decimal: 0.22
- Percentage: $ 0.22 \times 100 = 22\% $
- Fraction: $ \frac{22}{100} = \frac{11}{50} $
✔ So:
- Fraction: $ \frac{11}{50} $
- Decimal: 0.22
- Percentage: 22%
---
#### Row 2:
- Percentage: 83%
- Decimal: $ \frac{83}{100} = 0.83 $
- Fraction: $ \frac{83}{100} $ (already simplified)
✔ So:
- Fraction: $ \frac{83}{100} $
- Decimal: 0.83
- Percentage: 83%
---
#### Row 3:
- Fraction: $ \frac{48}{100} $
- Decimal: $ 48 \div 100 = 0.48 $
- Percentage: $ 0.48 \times 100 = 48\% $
✔ So:
- Fraction: $ \frac{48}{100} $
- Decimal: 0.48
- Percentage: 48%
---
#### Row 4:
- Decimal: 0.75
- Percentage: $ 0.75 \times 100 = 75\% $
- Fraction: $ \frac{75}{100} = \frac{3}{4} $
✔ So:
- Fraction: $ \frac{3}{4} $
- Decimal: 0.75
- Percentage: 75%
---
#### Row 5:
- Percentage: 95%
- Decimal: $ \frac{95}{100} = 0.95 $
- Fraction: $ \frac{95}{100} = \frac{19}{20} $
✔ So:
- Fraction: $ \frac{19}{20} $
- Decimal: 0.95
- Percentage: 95%
---
#### Row 6:
- Fraction: $ \frac{16}{100} $
- Decimal: $ 16 \div 100 = 0.16 $
- Percentage: $ 0.16 \times 100 = 16\% $
✔ So:
- Fraction: $ \frac{16}{100} $
- Decimal: 0.16
- Percentage: 16%
---
#### Row 7:
- Decimal: 0.92
- Percentage: $ 0.92 \times 100 = 92\% $
- Fraction: $ \frac{92}{100} = \frac{23}{25} $
✔ So:
- Fraction: $ \frac{23}{25} $
- Decimal: 0.92
- Percentage: 92%
---
#### Row 8:
- Percentage: 80%
- Decimal: $ \frac{80}{100} = 0.80 $
- Fraction: $ \frac{80}{100} = \frac{4}{5} $
✔ So:
- Fraction: $ \frac{4}{5} $
- Decimal: 0.80
- Percentage: 80%
---
#### Row 9:
- Fraction: $ \frac{26}{100} $
- Decimal: $ 26 \div 100 = 0.26 $
- Percentage: $ 0.26 \times 100 = 26\% $
✔ So:
- Fraction: $ \frac{26}{100} $
- Decimal: 0.26
- Percentage: 26%
---
#### Row 10:
- Decimal: 0.44
- Percentage: $ 0.44 \times 100 = 44\% $
- Fraction: $ \frac{44}{100} = \frac{11}{25} $
✔ So:
- Fraction: $ \frac{11}{25} $
- Decimal: 0.44
- Percentage: 44%
---
#### Row 11:
- Percentage: 11%
- Decimal: $ \frac{11}{100} = 0.11 $
- Fraction: $ \frac{11}{100} $ (already simplified)
✔ So:
- Fraction: $ \frac{11}{100} $
- Decimal: 0.11
- Percentage: 11%
---
#### Row 12:
- Fraction: $ \frac{35}{100} $
- Decimal: $ 35 \div 100 = 0.35 $
- Percentage: $ 0.35 \times 100 = 35\% $
✔ So:
- Fraction: $ \frac{35}{100} $
- Decimal: 0.35
- Percentage: 35%
---
#### Row 13:
- Decimal: 0.56
- Percentage: $ 0.56 \times 100 = 56\% $
- Fraction: $ \frac{56}{100} = \frac{14}{25} $
✔ So:
- Fraction: $ \frac{14}{25} $
- Decimal: 0.56
- Percentage: 56%
---
#### Row 14:
- Percentage: 25%
- Decimal: $ \frac{25}{100} = 0.25 $
- Fraction: $ \frac{25}{100} = \frac{1}{4} $
✔ So:
- Fraction: $ \frac{1}{4} $
- Decimal: 0.25
- Percentage: 25%
---
#### Row 15:
- Fraction: $ \frac{99}{100} $
- Decimal: $ 99 \div 100 = 0.99 $
- Percentage: $ 0.99 \times 100 = 99\% $
✔ So:
- Fraction: $ \frac{99}{100} $
- Decimal: 0.99
- Percentage: 99%
---
| Fraction | Decimal | Percentage |
|----------------|---------|------------|
| $ \frac{11}{50} $ | 0.22 | 22% |
| $ \frac{83}{100} $ | 0.83 | 83% |
| $ \frac{48}{100} $ | 0.48 | 48% |
| $ \frac{3}{4} $ | 0.75 | 75% |
| $ \frac{19}{20} $ | 0.95 | 95% |
| $ \frac{16}{100} $ | 0.16 | 16% |
| $ \frac{23}{25} $ | 0.92 | 92% |
| $ \frac{4}{5} $ | 0.80 | 80% |
| $ \frac{26}{100} $ | 0.26 | 26% |
| $ \frac{11}{25} $ | 0.44 | 44% |
| $ \frac{11}{100} $ | 0.11 | 11% |
| $ \frac{35}{100} $ | 0.35 | 35% |
| $ \frac{14}{25} $ | 0.56 | 56% |
| $ \frac{1}{4} $ | 0.25 | 25% |
| $ \frac{99}{100} $ | 0.99 | 99% |
---
- To convert decimal to percent: multiply by 100.
- To convert percent to decimal: divide by 100.
- To convert fraction to decimal: divide numerator by denominator.
- To convert fraction to percent: convert to decimal first, then to percent.
Let me know if you'd like this formatted as a printable table!
We will fill in the missing values in the table using the following conversion rules:
- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percentage: Multiply decimal by 100 and add %.
- Percentage → Decimal: Divide percentage by 100.
- Decimal → Fraction: Write as a fraction over 100 (if needed), then simplify.
- Percentage → Fraction: Write over 100, then simplify.
- Fraction → Percentage: Convert to decimal first, then to percentage.
---
Let’s go row by row:
#### Row 1:
- Decimal: 0.22
- Percentage: $ 0.22 \times 100 = 22\% $
- Fraction: $ \frac{22}{100} = \frac{11}{50} $
✔ So:
- Fraction: $ \frac{11}{50} $
- Decimal: 0.22
- Percentage: 22%
---
#### Row 2:
- Percentage: 83%
- Decimal: $ \frac{83}{100} = 0.83 $
- Fraction: $ \frac{83}{100} $ (already simplified)
✔ So:
- Fraction: $ \frac{83}{100} $
- Decimal: 0.83
- Percentage: 83%
---
#### Row 3:
- Fraction: $ \frac{48}{100} $
- Decimal: $ 48 \div 100 = 0.48 $
- Percentage: $ 0.48 \times 100 = 48\% $
✔ So:
- Fraction: $ \frac{48}{100} $
- Decimal: 0.48
- Percentage: 48%
---
#### Row 4:
- Decimal: 0.75
- Percentage: $ 0.75 \times 100 = 75\% $
- Fraction: $ \frac{75}{100} = \frac{3}{4} $
✔ So:
- Fraction: $ \frac{3}{4} $
- Decimal: 0.75
- Percentage: 75%
---
#### Row 5:
- Percentage: 95%
- Decimal: $ \frac{95}{100} = 0.95 $
- Fraction: $ \frac{95}{100} = \frac{19}{20} $
✔ So:
- Fraction: $ \frac{19}{20} $
- Decimal: 0.95
- Percentage: 95%
---
#### Row 6:
- Fraction: $ \frac{16}{100} $
- Decimal: $ 16 \div 100 = 0.16 $
- Percentage: $ 0.16 \times 100 = 16\% $
✔ So:
- Fraction: $ \frac{16}{100} $
- Decimal: 0.16
- Percentage: 16%
---
#### Row 7:
- Decimal: 0.92
- Percentage: $ 0.92 \times 100 = 92\% $
- Fraction: $ \frac{92}{100} = \frac{23}{25} $
✔ So:
- Fraction: $ \frac{23}{25} $
- Decimal: 0.92
- Percentage: 92%
---
#### Row 8:
- Percentage: 80%
- Decimal: $ \frac{80}{100} = 0.80 $
- Fraction: $ \frac{80}{100} = \frac{4}{5} $
✔ So:
- Fraction: $ \frac{4}{5} $
- Decimal: 0.80
- Percentage: 80%
---
#### Row 9:
- Fraction: $ \frac{26}{100} $
- Decimal: $ 26 \div 100 = 0.26 $
- Percentage: $ 0.26 \times 100 = 26\% $
✔ So:
- Fraction: $ \frac{26}{100} $
- Decimal: 0.26
- Percentage: 26%
---
#### Row 10:
- Decimal: 0.44
- Percentage: $ 0.44 \times 100 = 44\% $
- Fraction: $ \frac{44}{100} = \frac{11}{25} $
✔ So:
- Fraction: $ \frac{11}{25} $
- Decimal: 0.44
- Percentage: 44%
---
#### Row 11:
- Percentage: 11%
- Decimal: $ \frac{11}{100} = 0.11 $
- Fraction: $ \frac{11}{100} $ (already simplified)
✔ So:
- Fraction: $ \frac{11}{100} $
- Decimal: 0.11
- Percentage: 11%
---
#### Row 12:
- Fraction: $ \frac{35}{100} $
- Decimal: $ 35 \div 100 = 0.35 $
- Percentage: $ 0.35 \times 100 = 35\% $
✔ So:
- Fraction: $ \frac{35}{100} $
- Decimal: 0.35
- Percentage: 35%
---
#### Row 13:
- Decimal: 0.56
- Percentage: $ 0.56 \times 100 = 56\% $
- Fraction: $ \frac{56}{100} = \frac{14}{25} $
✔ So:
- Fraction: $ \frac{14}{25} $
- Decimal: 0.56
- Percentage: 56%
---
#### Row 14:
- Percentage: 25%
- Decimal: $ \frac{25}{100} = 0.25 $
- Fraction: $ \frac{25}{100} = \frac{1}{4} $
✔ So:
- Fraction: $ \frac{1}{4} $
- Decimal: 0.25
- Percentage: 25%
---
#### Row 15:
- Fraction: $ \frac{99}{100} $
- Decimal: $ 99 \div 100 = 0.99 $
- Percentage: $ 0.99 \times 100 = 99\% $
✔ So:
- Fraction: $ \frac{99}{100} $
- Decimal: 0.99
- Percentage: 99%
---
✔ Final Completed Table:
| Fraction | Decimal | Percentage |
|----------------|---------|------------|
| $ \frac{11}{50} $ | 0.22 | 22% |
| $ \frac{83}{100} $ | 0.83 | 83% |
| $ \frac{48}{100} $ | 0.48 | 48% |
| $ \frac{3}{4} $ | 0.75 | 75% |
| $ \frac{19}{20} $ | 0.95 | 95% |
| $ \frac{16}{100} $ | 0.16 | 16% |
| $ \frac{23}{25} $ | 0.92 | 92% |
| $ \frac{4}{5} $ | 0.80 | 80% |
| $ \frac{26}{100} $ | 0.26 | 26% |
| $ \frac{11}{25} $ | 0.44 | 44% |
| $ \frac{11}{100} $ | 0.11 | 11% |
| $ \frac{35}{100} $ | 0.35 | 35% |
| $ \frac{14}{25} $ | 0.56 | 56% |
| $ \frac{1}{4} $ | 0.25 | 25% |
| $ \frac{99}{100} $ | 0.99 | 99% |
---
Summary of Key Conversions:
- To convert decimal to percent: multiply by 100.
- To convert percent to decimal: divide by 100.
- To convert fraction to decimal: divide numerator by denominator.
- To convert fraction to percent: convert to decimal first, then to percent.
Let me know if you'd like this formatted as a printable table!
Parent Tip: Review the logic above to help your child master the concept of fractions decimals worksheet.