Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Sure! Let’s solve the table by converting between Fractions, Decimals, and Percents. The key conversions to remember are:

- 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 power of 10, then simplify.
- Percent → Fraction: Write as fraction over 100, then simplify.

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We’ll go row by row.

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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: Since this is a repeating decimal, we round for practical purposes.)*

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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 → so 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 & denominator by 2)

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

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🔹 Row 8: Fraction = 3/11

- Decimal:
3 ÷ 11 ≈ 0.2727... → often written as 0.27̅ (repeating), but for table, use 0.2727 (rounded)

- 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 simplification: 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(389,1000)=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 (divided numerator & 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 (simplified)

- 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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📌 Note on Rounding: For repeating decimals like 8/17, 3/11, etc., I used 4 decimal places for practicality. In some contexts, you might write them with a bar (e.g., 0.27̅ for 3/11), but for worksheets, rounding is acceptable.

Let me know if you’d like this in a printable format or with exact repeating notation!