Convert fractions, decimals, and percents with this educational worksheet from Math Monks.

Let's solve this step-by-step by filling in the missing values in the table, converting between fractions, decimals, and percents.

We'll go row by row and convert each value accordingly. The key conversions are:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add % sign.
- Percent → Decimal: Divide by 100.
- Decimal → Fraction: Write as a fraction over 100 (or appropriate place value), then simplify.
- Percent → Fraction: Write as a fraction over 100, then simplify.

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Row 1:

Decimal = 0.22

- Fraction: $ 0.22 = \frac{22}{100} = \frac{11}{50} $
- Percent: $ 0.22 \times 100 = 22\% $

✔ So:
- Fraction: $ \frac{11}{50} $
- Percent: $ 22\% $

---

Row 2:

Fraction = $ \frac{8}{17} $

- Decimal: $ 8 \div 17 \approx 0.4706 $
- Percent: $ 0.4706 \times 100 \approx 47.06\% $

✔ So:
- Decimal: $ \approx 0.471 $ (rounded to 3 decimal places)
- Percent: $ \approx 47.1\% $

---

Row 3:

Fraction = $ \frac{15}{17} $

- Decimal: $ 15 \div 17 \approx 0.8824 $
- Percent: $ 0.8824 \times 100 \approx 88.24\% $

✔ So:
- Decimal: $ \approx 0.882 $
- Percent: $ \approx 88.2\% $

---

Row 4:

Decimal = 0.39

- Fraction: $ 0.39 = \frac{39}{100} $ (already simplified)
- Percent: $ 0.39 \times 100 = 39\% $

✔ So:
- Fraction: $ \frac{39}{100} $
- Percent: $ 39\% $

---

Row 5:

Percent = 98.9%

- Decimal: $ 98.9\% = \frac{98.9}{100} = 0.989 $
- Fraction: $ 0.989 = \frac{989}{1000} $ (simplified? Check: 989 and 1000 share no common factors → already simplified)

✔ So:
- Decimal: $ 0.989 $
- Fraction: $ \frac{989}{1000} $

---

Row 6:

Decimal = 0.81

- Fraction: $ 0.81 = \frac{81}{100} $
- Percent: $ 0.81 \times 100 = 81\% $

✔ So:
- Fraction: $ \frac{81}{100} $
- Percent: $ 81\% $

---

Row 7:

Percent = $ 30\frac{1}{5}\% $

First, convert mixed number to improper fraction:
$ 30\frac{1}{5} = \frac{151}{5} \% $

Now:
- Decimal: $ \frac{151}{5} \div 100 = \frac{151}{500} = 0.302 $
- Fraction: $ 0.302 = \frac{302}{1000} = \frac{151}{500} $

✔ So:
- Decimal: $ 0.302 $
- Fraction: $ \frac{151}{500} $

---

Row 8:

Fraction = $ \frac{3}{11} $

- Decimal: $ 3 \div 11 \approx 0.2727... $ (repeating)
- Percent: $ 0.2727 \times 100 \approx 27.27\% $

✔ So:
- Decimal: $ \approx 0.273 $ (rounded)
- Percent: $ \approx 27.3\% $

---

Row 9:

Decimal = 0.293

- Fraction: $ 0.293 = \frac{293}{1000} $ (no simplification possible)
- Percent: $ 0.293 \times 100 = 29.3\% $

✔ So:
- Fraction: $ \frac{293}{1000} $
- Percent: $ 29.3\% $

---

Row 10:

Percent = 38.9%

- Decimal: $ 38.9\% = 0.389 $
- Fraction: $ 0.389 = \frac{389}{1000} $

✔ So:
- Decimal: $ 0.389 $
- Fraction: $ \frac{389}{1000} $

---

Row 11:

Fraction = $ \frac{6}{7} $

- Decimal: $ 6 \div 7 \approx 0.8571 $
- Percent: $ 0.8571 \times 100 \approx 85.71\% $

✔ So:
- Decimal: $ \approx 0.857 $
- Percent: $ \approx 85.7\% $

---

Row 12:

Decimal = 0.123

- Fraction: $ 0.123 = \frac{123}{1000} $
- Percent: $ 0.123 \times 100 = 12.3\% $

✔ So:
- Fraction: $ \frac{123}{1000} $
- Percent: $ 12.3\% $

---

Row 13:

Percent = 0.08%

- Decimal: $ 0.08\% = \frac{0.08}{100} = 0.0008 $
- Fraction: $ 0.0008 = \frac{8}{10000} = \frac{1}{1250} $

✔ So:
- Decimal: $ 0.0008 $
- Fraction: $ \frac{1}{1250} $

---

Row 14:

Decimal = 0.008

- Fraction: $ 0.008 = \frac{8}{1000} = \frac{1}{125} $
- Percent: $ 0.008 \times 100 = 0.8\% $

✔ So:
- Fraction: $ \frac{1}{125} $
- Percent: $ 0.8\% $

---

✔ Final Completed Table:

| Fractions | Decimals | Percent |
|-------------------|--------------|---------------|
| $ \frac{11}{50} $ | 0.22 | 22% |
| $ \frac{8}{17} $ | ≈ 0.471 | ≈ 47.1% |
| $ \frac{15}{17} $ | ≈ 0.882 | ≈ 88.2% |
| $ \frac{39}{100} $| 0.39 | 39% |
| $ \frac{989}{1000} $| 0.989 | 98.9% |
| $ \frac{81}{100} $| 0.81 | 81% |
| $ \frac{151}{500} $| 0.302 | $ 30\frac{1}{5}\% $ |
| $ \frac{3}{11} $ | ≈ 0.273 | ≈ 27.3% |
| $ \frac{293}{1000} $| 0.293 | 29.3% |
| $ \frac{389}{1000} $| 0.389 | 38.9% |
| $ \frac{6}{7} $ | ≈ 0.857 | ≈ 85.7% |
| $ \frac{123}{1000} $| 0.123 | 12.3% |
| $ \frac{1}{1250} $| 0.0008 | 0.08% |
| $ \frac{1}{125} $ | 0.008 | 0.8% |

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Summary of Key Conversions:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100.
- Percent → Decimal: Divide by 100.
- Always simplify fractions when possible.
- Round decimals appropriately (usually to 3 decimal places unless specified).

This completes the conversion chart! Let me know if you'd like it formatted as a printable table.