Grade 6 Fraction, Decimal & Percentage Worksheets | Math Worksheets - Free Printable

Let's solve the problem step by step. The task is to convert between fractions, decimals, and percentages. We'll fill in the missing values in the table.

---

🔢 Conversion Rules:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Fraction: Write as a fraction over 100 (for two decimal places), then simplify.
- Decimal → Percentage: Multiply by 100 and add %.
- Percentage → Decimal: Divide by 100.
- Percentage → Fraction: Write as a fraction over 100 and simplify.
- Fraction → Percentage: Convert to decimal first, then multiply by 100.

---

Now, let’s go row by row.

---

#### Row 1:
Fraction: $ \frac{1}{5} $

- Decimal: $ \frac{1}{5} = 0.2 $
- Percentage: $ 0.2 \times 100 = 20\% $

✔ So:
- Decimal: 0.2
- Percentage: 20%

---

#### Row 2:
Decimal: 0.63

- Fraction: $ 0.63 = \frac{63}{100} $ (already simplified)
- Percentage: $ 0.63 \times 100 = 63\% $

✔ So:
- Fraction: $ \frac{63}{100} $
- Percentage: 63%

---

#### Row 3:
Percentage: 30%

- Decimal: $ \frac{30}{100} = 0.3 $
- Fraction: $ \frac{30}{100} = \frac{3}{10} $

✔ So:
- Decimal: 0.3
- Fraction: $ \frac{3}{10} $

---

#### Row 4:
Fraction: $ \frac{4}{5} $

- Decimal: $ \frac{4}{5} = 0.8 $
- Percentage: $ 0.8 \times 100 = 80\% $

✔ So:
- Decimal: 0.8
- Percentage: 80%

---

#### Row 5:
Decimal: 0.21

- Fraction: $ \frac{21}{100} $ (simplified)
- Percentage: $ 0.21 \times 100 = 21\% $

✔ So:
- Fraction: $ \frac{21}{100} $
- Percentage: 21%

---

#### Row 6:
Percentage: 23%

- Decimal: $ \frac{23}{100} = 0.23 $
- Fraction: $ \frac{23}{100} $ (already simplified)

✔ So:
- Decimal: 0.23
- Fraction: $ \frac{23}{100} $

---

#### Row 7:
Fraction: $ \frac{7}{10} $

- Decimal: $ \frac{7}{10} = 0.7 $
- Percentage: $ 0.7 \times 100 = 70\% $

✔ So:
- Decimal: 0.7
- Percentage: 70%

---

#### Row 8:
Decimal: 0.86

- Fraction: $ \frac{86}{100} = \frac{43}{50} $ (simplify by dividing numerator and denominator by 2)
- Percentage: $ 0.86 \times 100 = 86\% $

✔ So:
- Fraction: $ \frac{43}{50} $
- Percentage: 86%

---

#### Row 9:
Percentage: 66%

- Decimal: $ \frac{66}{100} = 0.66 $
- Fraction: $ \frac{66}{100} = \frac{33}{50} $ (simplify by dividing by 2)

✔ So:
- Decimal: 0.66
- Fraction: $ \frac{33}{50} $

---

#### Row 10:
Fraction: $ \frac{3}{5} $

- Decimal: $ \frac{3}{5} = 0.6 $
- Percentage: $ 0.6 \times 100 = 60\% $

✔ So:
- Decimal: 0.6
- Percentage: 60%

---

✔ Final Completed Table:

| Fraction | Decimal | Percentage |
|--------------|---------|------------|
| $ \frac{1}{5} $ | 0.2 | 20% |
| $ \frac{63}{100} $ | 0.63 | 63% |
| $ \frac{3}{10} $ | 0.3 | 30% |
| $ \frac{4}{5} $ | 0.8 | 80% |
| $ \frac{21}{100} $ | 0.21 | 21% |
| $ \frac{23}{100} $ | 0.23 | 23% |
| $ \frac{7}{10} $ | 0.7 | 70% |
| $ \frac{43}{50} $ | 0.86 | 86% |
| $ \frac{33}{50} $ | 0.66 | 66% |
| $ \frac{3}{5} $ | 0.6 | 60% |

---

Let me know if you'd like this formatted for printing or need help with any specific conversion!