Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

You're given a worksheet titled “Converting Fractions, Decimals, and Percents” with a table that has three columns: Fractions, Decimals, and Percent. Some cells are filled in, and you need to fill in the missing values by converting between these three forms.

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📌 Key Conversion Rules:

1. Fraction → Decimal: Divide numerator by denominator.
2. Decimal → Percent: Multiply by 100 and add “%”.
3. Percent → Decimal: Divide by 100.
4. Decimal → Fraction: Write as fraction over power of 10, then simplify.
5. Percent → Fraction: Write as fraction over 100, then simplify.
6. Fraction → Percent: Convert to decimal first, then to percent.

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Let’s go row by row and fill in the blanks.

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## ✔ Row 1: Decimal = 0.22

- Fraction: 0.22 = 22/100 = 11/50 (simplified)
- Percent: 0.22 × 100 = 22%

> ✔️ Answer: Fraction = 11/50, Percent = 22%

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## ✔ Row 2: Fraction = 8/17

- Decimal: 8 ÷ 17 ≈ 0.4706 (rounded to 4 decimal places)
- Percent: 0.4706 × 100 ≈ 47.06%

> ✔️ Answer: Decimal ≈ 0.4706, Percent ≈ 47.06%

*(Note: You may round to 2 or 3 decimals depending on instructions — here we’ll use 4 for accuracy.)*

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## ✔ Row 3: Fraction = 15/17

- Decimal: 15 ÷ 17 ≈ 0.8824
- Percent: 0.8824 × 100 ≈ 88.24%

> ✔️ Answer: Decimal ≈ 0.8824, Percent ≈ 88.24%

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## ✔ Row 4: Decimal = 0.39

- Fraction: 0.39 = 39/100 → already simplified → 39/100
- Percent: 0.39 × 100 = 39%

> ✔️ Answer: Fraction = 39/100, Percent = 39%

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## ✔ Row 5: Percent = 98.9%

- Decimal: 98.9 ÷ 100 = 0.989
- Fraction: 0.989 = 989/1000 → check if reducible? GCD(989,1000)=1 → 989/1000

> ✔️ Answer: Decimal = 0.989, Fraction = 989/1000

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## ✔ Row 6: Decimal = 0.81

- Fraction: 0.81 = 81/100 → already simplified → 81/100
- Percent: 0.81 × 100 = 81%

> ✔️ Answer: Fraction = 81/100, Percent = 81%

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## ✔ Row 7: Percent = 30 1/5 %

First, convert mixed number to improper fraction or decimal:

- 30 1/5 % = 30.2%
- Decimal: 30.2 ÷ 100 = 0.302
- Fraction: 0.302 = 302/1000 = 151/500 (divide numerator and denominator by 2)

> ✔️ Answer: Decimal = 0.302, Fraction = 151/500

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## ✔ Row 8: Fraction = 3/11

- Decimal: 3 ÷ 11 ≈ 0.2727... (repeating) → Round to 4 decimals: 0.2727
- Percent: 0.2727 × 100 ≈ 27.27%

> ✔️ Answer: Decimal ≈ 0.2727, Percent ≈ 27.27%

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## ✔ Row 9: Decimal = 0.293

- Fraction: 0.293 = 293/1000 → check if reducible? GCD(293,1000)=1 → 293/1000
- Percent: 0.293 × 100 = 29.3%

> ✔️ Answer: Fraction = 293/1000, Percent = 29.3%

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## ✔ Row 10: Percent = 38.9%

- Decimal: 38.9 ÷ 100 = 0.389
- Fraction: 0.389 = 389/1000 → GCD=1 → 389/1000

> ✔️ Answer: Decimal = 0.389, Fraction = 389/1000

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## ✔ Row 11: Fraction = 6/7

- Decimal: 6 ÷ 7 ≈ 0.8571
- Percent: 0.8571 × 100 ≈ 85.71%

> ✔️ Answer: Decimal ≈ 0.8571, Percent ≈ 85.71%

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## ✔ Row 12: Decimal = 0.123

- Fraction: 0.123 = 123/1000 → GCD(123,1000)=1 → 123/1000
- Percent: 0.123 × 100 = 12.3%

> ✔️ Answer: Fraction = 123/1000, Percent = 12.3%

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## ✔ Row 13: Percent = 0.08%

- Decimal: 0.08 ÷ 100 = 0.0008
- Fraction: 0.0008 = 8/10000 = 1/1250 (simplify by dividing numerator and denominator by 8)

> ✔️ Answer: Decimal = 0.0008, Fraction = 1/1250

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## ✔ Row 14: Decimal = 0.008

- Fraction: 0.008 = 8/1000 = 1/125 (simplify by dividing by 8)
- Percent: 0.008 × 100 = 0.8%

> ✔️ Answer: Fraction = 1/125, Percent = 0.8%

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## 🧾 Final Completed Table:

| Fractions | Decimals | Percent |
|-----------------|--------------|-------------|
| 11/50 | 0.22 | 22% |
| 8/17 | ≈0.4706 | ≈47.06% |
| 15/17 | ≈0.8824 | ≈88.24% |
| 39/100 | 0.39 | 39% |
| 989/1000 | 0.989 | 98.9% |
| 81/100 | 0.81 | 81% |
| 151/500 | 0.302 | 30 1/5% |
| 3/11 | ≈0.2727 | ≈27.27% |
| 293/1000 | 0.293 | 29.3% |
| 389/1000 | 0.389 | 38.9% |
| 6/7 | ≈0.8571 | ≈85.71% |
| 123/1000 | 0.123 | 12.3% |
| 1/1250 | 0.0008 | 0.08% |
| 1/125 | 0.008 | 0.8% |

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✔ All blanks are now filled using standard conversion techniques. Let me know if you’d like this formatted as a printable answer key or want explanations for specific rows!