Converting Fractions, Decimals, and Percents (A) Worksheet | Fun ... - Free Printable

Let's solve each section of the worksheet step by step, converting between fractions, decimals, and percentages.

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🔹 Section 1: Decimal → Percentage

We convert decimals to percentages by multiplying by 100.

| Decimal | 0.1 | 0.2 | 0.61 | ? | ? | ? | ? |
|--------|-----|-----|------|---|---|---|---|
| Percentage | ? | ? | ? | 90% | 41% | 92% | 86% |

Now fill in missing percentages:

- 0.1 → $ 0.1 \times 100 = 10\% $
- 0.2 → $ 0.2 \times 100 = 20\% $
- 0.61 → $ 0.61 \times 100 = 61\% $

Now reverse: from percentage to decimal

- 90% → $ 90 \div 100 = 0.9 $
- 41% → $ 41 \div 100 = 0.41 $
- 92% → $ 92 \div 100 = 0.92 $
- 86% → $ 86 \div 100 = 0.86 $

✔ So the completed table is:

| Decimal | 0.1 | 0.2 | 0.61 | 0.9 | 0.41 | 0.92 | 0.86 |
|--------|-----|-----|------|-----|------|------|------|
| Percentage | 10% | 20% | 61% | 90% | 41% | 92% | 86% |

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🔹 Section 2: Percentage → Decimal

Convert percentages to decimals by dividing by 100.

| Percentage | ? | 7% | ? | ? | 11% | ? | 8% |
|------------|---|----|---|---|-----|---|----|
| Decimal | 0.03 | ? | 0.06 | 0.09 | ? | 0.02 | ? |

Now fill in:

- 0.03 → $ 0.03 \times 100 = 3\% $
- 7% → $ 7 \div 100 = 0.07 $
- 0.06 → $ 0.06 \times 100 = 6\% $
- 0.09 → $ 0.09 \times 100 = 9\% $
- 11% → $ 11 \div 100 = 0.11 $
- 0.02 → $ 0.02 \times 100 = 2\% $
- 8% → $ 8 \div 100 = 0.08 $

✔ Completed table:

| Percentage | 3% | 7% | 6% | 9% | 11% | 2% | 8% |
|------------|----|----|----|----|-----|----|----|
| Decimal | 0.03 | 0.07 | 0.06 | 0.09 | 0.11 | 0.02 | 0.08 |

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🔹 Section 3: Fraction → Percentage

Convert fractions to percentages.

| Fraction | ½ | ¼ | 37/100 | ? | ? | ? | ? |
|---------|----|----|--------|---|---|---|---|
| Percentage | ? | ? | ? | 10% | 23% | 75% | 1% |

Now convert:

- $ \frac{1}{2} = 0.5 = 50\% $
- $ \frac{1}{4} = 0.25 = 25\% $
- $ \frac{37}{100} = 37\% $

Now reverse: from percentage to fraction

- 10% = $ \frac{10}{100} = \frac{1}{10} $
- 23% = $ \frac{23}{100} $
- 75% = $ \frac{75}{100} = \frac{3}{4} $
- 1% = $ \frac{1}{100} $

✔ Completed table:

| Fraction | ½ | ¼ | 37/100 | 1/10 | 23/100 | 3/4 | 1/100 |
|---------|----|----|--------|------|--------|-----|-------|
| Percentage | 50% | 25% | 37% | 10% | 23% | 75% | 1% |

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🔹 Section 4: Fraction → Decimal

Convert fractions to decimals.

| Fraction | ? | ? | ? | ½ | ¼ | 67/100 | ¾ |
|---------|---|---|---|----|----|--------|----|
| Decimal | 0.7 | 0.3 | 0.07 | ? | ? | ? | ? |

Now find fractions:

- 0.7 = $ \frac{7}{10} $
- 0.3 = $ \frac{3}{10} $
- 0.07 = $ \frac{7}{100} $

Now convert:

- $ \frac{1}{2} = 0.5 $
- $ \frac{1}{4} = 0.25 $
- $ \frac{67}{100} = 0.67 $
- $ \frac{3}{4} = 0.75 $

✔ Completed table:

| Fraction | 7/10 | 3/10 | 7/100 | 1/2 | 1/4 | 67/100 | 3/4 |
|---------|------|------|-------|-----|-----|--------|-----|
| Decimal | 0.7 | 0.3 | 0.07 | 0.5 | 0.25 | 0.67 | 0.75 |

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✔ Final Answer Summary:

#### Section 1: Decimal ↔ Percentage
| Decimal | 0.1 | 0.2 | 0.61 | 0.9 | 0.41 | 0.92 | 0.86 |
|--------|-----|-----|------|-----|------|------|------|
| Percentage | 10% | 20% | 61% | 90% | 41% | 92% | 86% |

#### Section 2: Percentage ↔ Decimal
| Percentage | 3% | 7% | 6% | 9% | 11% | 2% | 8% |
|------------|----|----|----|----|-----|----|----|
| Decimal | 0.03 | 0.07 | 0.06 | 0.09 | 0.11 | 0.02 | 0.08 |

#### Section 3: Fraction ↔ Percentage
| Fraction | ½ | ¼ | 37/100 | 1/10 | 23/100 | 3/4 | 1/100 |
|---------|----|----|--------|------|--------|-----|-------|
| Percentage | 50% | 25% | 37% | 10% | 23% | 75% | 1% |

#### Section 4: Fraction ↔ Decimal
| Fraction | 7/10 | 3/10 | 7/100 | 1/2 | 1/4 | 67/100 | 3/4 |
|---------|------|------|-------|-----|-----|--------|-----|
| Decimal | 0.7 | 0.3 | 0.07 | 0.5 | 0.25 | 0.67 | 0.75 |

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📌 Key Conversion Rules:

- Decimal → Percentage: Multiply by 100
- Percentage → Decimal: Divide by 100
- Fraction → Decimal: Divide numerator by denominator
- Fraction → Percentage: Convert to decimal first, then multiply by 100

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