Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Let's solve this step-by-step by converting fractions, decimals, and percents into each other as needed to complete the table.

We’ll go row by row and fill in the missing values using conversion rules:

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🔁 Conversion Rules:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add % sign.
- Percent → Decimal: Divide by 100.
- Decimal → Fraction: Write as fraction over 100 (or appropriate power of 10), then simplify.
- Percent → Fraction: Write percent over 100, then simplify.
- Fraction → Percent: Convert to decimal first, then to percent.

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Now let’s fill in the table.

| Fractions | Decimals | Percent |
|----------|----------|---------|
| | 0.22 | |
| 8/17 | | |
| 15/17 | | |
| | 0.39 | |
| | | 98.9% |
| | 0.81 | |
| | | 30 1/5 % |
| 3/11 | | |
| | 0.293 | |
| | | 38.9% |
| 6/7 | | |
| | 0.123 | |
| | | 0.08% |
| | 0.008 | |

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Row 1: Decimal = 0.22

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

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

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Row 2: Fraction = $ \frac{8}{17} $

- Fraction → Decimal:
$ 8 ÷ 17 ≈ 0.4706 $
- Decimal → Percent:
$ 0.4706 × 100 ≈ 47.06\% $

✔ So:
- Decimal: $ 0.4706 $ (approx)
- Percent: $ 47.06\% $

---

Row 3: Fraction = $ \frac{15}{17} $

- Fraction → Decimal:
$ 15 ÷ 17 ≈ 0.8824 $
- Decimal → Percent:
$ 0.8824 × 100 ≈ 88.24\% $

✔ So:
- Decimal: $ 0.8824 $
- Percent: $ 88.24\% $

---

Row 4: Decimal = 0.39

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

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

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Row 5: Percent = 98.9%

- Percent → Decimal:
$ 98.9 ÷ 100 = 0.989 $
- Decimal → Fraction:
$ 0.989 = \frac{989}{1000} $ (simplify? GCD of 989 and 1000 is 1 → already simplified)

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

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Row 6: Decimal = 0.81

- Decimal → Fraction:
$ 0.81 = \frac{81}{100} $ (simplified)
- Decimal → Percent:
$ 0.81 × 100 = 81\% $

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

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Row 7: Percent = $ 30\frac{1}{5}\% $

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

Now convert to decimal:
- $ \frac{151}{5} ÷ 100 = \frac{151}{500} = 0.302 $

So:
- Percent → Decimal: $ 0.302 $
- Decimal → Fraction: $ \frac{302}{1000} = \frac{151}{500} $

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

---

Row 8: Fraction = $ \frac{3}{11} $

- Fraction → Decimal:
$ 3 ÷ 11 ≈ 0.2727... $ (repeating: 0.$\overline{27}$)
- Decimal → Percent:
$ 0.2727 × 100 ≈ 27.27\% $

✔ So:
- Decimal: $ 0.\overline{27} $ or approx $ 0.273 $
- Percent: $ 27.\overline{27}\% $ or approx $ 27.27\% $

---

Row 9: Decimal = 0.293

- Decimal → Fraction:
$ 0.293 = \frac{293}{1000} $ (already simplified)
- Decimal → Percent:
$ 0.293 × 100 = 29.3\% $

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

---

Row 10: Percent = 38.9%

- Percent → Decimal: $ 38.9 ÷ 100 = 0.389 $
- Decimal → Fraction: $ \frac{389}{1000} $

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

---

Row 11: Fraction = $ \frac{6}{7} $

- Fraction → Decimal: $ 6 ÷ 7 ≈ 0.8571 $
- Decimal → Percent: $ 0.8571 × 100 ≈ 85.71\% $

✔ So:
- Decimal: $ 0.8571 $ (approx)
- Percent: $ 85.71\% $

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Row 12: Decimal = 0.123

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

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

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Row 13: Percent = 0.08%

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

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

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Row 14: Decimal = 0.008

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

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

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✔ Final Completed Table:

| Fractions | Decimals | Percent |
|------------------|--------------|---------------|
| $ \frac{11}{50} $ | 0.22 | 22% |
| $ \frac{8}{17} $ | ≈ 0.4706 | ≈ 47.06% |
| $ \frac{15}{17} $ | ≈ 0.8824 | ≈ 88.24% |
| $ \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} $ | ≈ 0.2727 | ≈ 27.27% |
| $ \frac{293}{1000} $ | 0.293 | 29.3% |
| $ \frac{389}{1000} $ | 0.389 | 38.9% |
| $ \frac{6}{7} $ | ≈ 0.8571 | ≈ 85.71% |
| $ \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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📝 Notes:

- Some decimals are repeating or approximate (e.g., $ \frac{3}{11} = 0.\overline{27} $).
- For practical purposes, we rounded to 4 decimal places where needed.
- All fractions are simplified unless otherwise noted.

Let me know if you'd like this formatted as a printable table!