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Converting Fractions, Decimals and Percentages interactive ... - Free Printable

Converting Fractions, Decimals and Percentages interactive ...

Educational worksheet: Converting Fractions, Decimals and Percentages interactive .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Converting Fractions, Decimals and Percentages interactive ...
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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.

---

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.
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