Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Let's solve the problem step by step. We need to fill in the missing fractions, decimals, or percents in the table using conversions between these three forms.

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🔁 Conversion Rules:

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

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We'll go row by row for both tables.

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## ✔ Left Table

| Fraction | Decimal | Percent |
|---------|--------|--------|
| $ \frac{3}{7} $ | ? | ? |
| ? | 0.5 | ? |
| $ \frac{5}{8} $ | ? | ? |
| ? | ? | $ 33\frac{1}{2}\% $ |
| ? | 0.77 | ? |
| ? | ? | $ 88\frac{2}{3}\% $ |
| $ \frac{9}{5} $ | ? | ? |
| $ \frac{6}{15} $ | ? | ? |
| ? | 0.26 | ? |
| ? | ? | 32.5% |
| ? | 0.625 | ? |

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Row 1: $ \frac{3}{7} $

- Decimal: $ 3 \div 7 = 0.\overline{428571} \approx 0.4286 $
- Percent: $ 0.4286 \times 100 = 42.86\% $

✔ So:
- Decimal: 0.4286
- Percent: 42.86%

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Row 2: Decimal = 0.5

- Fraction: $ 0.5 = \frac{1}{2} $
- Percent: $ 0.5 \times 100 = 50\% $

✔ So:
- Fraction: $ \frac{1}{2} $
- Percent: 50%

---

Row 3: $ \frac{5}{8} $

- Decimal: $ 5 \div 8 = 0.625 $
- Percent: $ 0.625 \times 100 = 62.5\% $

✔ So:
- Decimal: 0.625
- Percent: 62.5%

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Row 4: Percent = $ 33\frac{1}{2}\% = 33.5\% $

- Decimal: $ 33.5 \div 100 = 0.335 $
- Fraction: $ 0.335 = \frac{335}{1000} = \frac{67}{200} $

✔ So:
- Fraction: $ \frac{67}{200} $
- Decimal: 0.335

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Row 5: Decimal = 0.77

- Percent: $ 0.77 \times 100 = 77\% $
- Fraction: $ \frac{77}{100} $ (already simplified)

✔ So:
- Fraction: $ \frac{77}{100} $
- Percent: 77%

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Row 6: Percent = $ 88\frac{2}{3}\% = 88.\overline{6}\% $

- $ 88\frac{2}{3} = \frac{266}{3} \% $
- Decimal: $ \frac{266}{3} \div 100 = \frac{266}{300} = \frac{133}{150} \approx 0.8867 $
- Fraction: $ \frac{133}{150} $ (simplified)

✔ So:
- Decimal: 0.8867
- Fraction: $ \frac{133}{150} $

---

Row 7: $ \frac{9}{5} $

- Decimal: $ 9 \div 5 = 1.8 $
- Percent: $ 1.8 \times 100 = 180\% $

✔ So:
- Decimal: 1.8
- Percent: 180%

---

Row 8: $ \frac{6}{15} $

Simplify: $ \frac{6}{15} = \frac{2}{5} $

- Decimal: $ 2 \div 5 = 0.4 $
- Percent: $ 0.4 \times 100 = 40\% $

✔ So:
- Decimal: 0.4
- Percent: 40%

---

Row 9: Decimal = 0.26

- Percent: $ 0.26 \times 100 = 26\% $
- Fraction: $ \frac{26}{100} = \frac{13}{50} $

✔ So:
- Fraction: $ \frac{13}{50} $
- Percent: 26%

---

Row 10: Percent = 32.5%

- Decimal: $ 32.5 \div 100 = 0.325 $
- Fraction: $ \frac{325}{1000} = \frac{13}{40} $

✔ So:
- Decimal: 0.325
- Fraction: $ \frac{13}{40} $

---

Row 11: Decimal = 0.625

- Percent: $ 0.625 \times 100 = 62.5\% $
- Fraction: $ \frac{625}{1000} = \frac{5}{8} $

✔ So:
- Fraction: $ \frac{5}{8} $
- Percent: 62.5%

> Wait! This is same as Row 3, but that’s okay — it can repeat.

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## ✔ Right Table

| Fraction | Decimal | Percent |
|---------|--------|--------|
| $ \frac{9}{17} $ | ? | ? |
| ? | 0.067 | ? |
| ? | ? | 28.8% |
| $ \frac{3}{8} $ | ? | ? |
| ? | 0.925 | ? |
| ? | ? | $ 37\frac{2}{5}\% $ |
| $ \frac{11}{18} $ | ? | ? |
| ? | 0.75 | ? |
| $ \frac{7}{9} $ | ? | ? |
| ? | 0.815 | ? |
| ? | ? | 66.5% |

---

Row 1: $ \frac{9}{17} $

- Decimal: $ 9 \div 17 \approx 0.5294 $
- Percent: $ 0.5294 \times 100 = 52.94\% $

✔ So:
- Decimal: 0.5294
- Percent: 52.94%

---

Row 2: Decimal = 0.067

- Percent: $ 0.067 \times 100 = 6.7\% $
- Fraction: $ \frac{67}{1000} $ (since 0.067 = 67/1000)

✔ So:
- Fraction: $ \frac{67}{1000} $
- Percent: 6.7%

---

Row 3: Percent = 28.8%

- Decimal: $ 28.8 \div 100 = 0.288 $
- Fraction: $ \frac{288}{1000} = \frac{36}{125} $

✔ So:
- Fraction: $ \frac{36}{125} $
- Decimal: 0.288

---

Row 4: $ \frac{3}{8} $

- Decimal: $ 3 \div 8 = 0.375 $
- Percent: $ 0.375 \times 100 = 37.5\% $

✔ So:
- Decimal: 0.375
- Percent: 37.5%

---

Row 5: Decimal = 0.925

- Percent: $ 0.925 \times 100 = 92.5\% $
- Fraction: $ \frac{925}{1000} = \frac{37}{40} $

✔ So:
- Fraction: $ \frac{37}{40} $
- Percent: 92.5%

---

Row 6: Percent = $ 37\frac{2}{5}\% = 37.4\% $

- Decimal: $ 37.4 \div 100 = 0.374 $
- Fraction: $ \frac{374}{1000} = \frac{187}{500} $

✔ So:
- Decimal: 0.374
- Fraction: $ \frac{187}{500} $

---

Row 7: $ \frac{11}{18} $

- Decimal: $ 11 \div 18 \approx 0.6111 $
- Percent: $ 0.6111 \times 100 = 61.11\% $

✔ So:
- Decimal: 0.6111
- Percent: 61.11%

---

Row 8: Decimal = 0.75

- Percent: $ 0.75 \times 100 = 75\% $
- Fraction: $ \frac{75}{100} = \frac{3}{4} $

✔ So:
- Fraction: $ \frac{3}{4} $
- Percent: 75%

---

Row 9: $ \frac{7}{9} $

- Decimal: $ 7 \div 9 = 0.\overline{7} \approx 0.7778 $
- Percent: $ 0.7778 \times 100 = 77.78\% $

✔ So:
- Decimal: 0.7778
- Percent: 77.78%

---

Row 10: Decimal = 0.815

- Percent: $ 0.815 \times 100 = 81.5\% $
- Fraction: $ \frac{815}{1000} = \frac{163}{200} $

✔ So:
- Fraction: $ \frac{163}{200} $
- Percent: 81.5%

---

Row 11: Percent = 66.5%

- Decimal: $ 66.5 \div 100 = 0.665 $
- Fraction: $ \frac{665}{1000} = \frac{133}{200} $

✔ So:
- Decimal: 0.665
- Fraction: $ \frac{133}{200} $

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## ✔ Final Answer Table (Completed)

Left Table:

| Fraction | Decimal | Percent |
|---------------|-------------|---------------|
| $ \frac{3}{7} $ | 0.4286 | 42.86% |
| $ \frac{1}{2} $ | 0.5 | 50% |
| $ \frac{5}{8} $ | 0.625 | 62.5% |
| $ \frac{67}{200} $ | 0.335 | $ 33\frac{1}{2}\% $ |
| $ \frac{77}{100} $ | 0.77 | 77% |
| $ \frac{133}{150} $ | 0.8867 | $ 88\frac{2}{3}\% $ |
| $ \frac{9}{5} $ | 1.8 | 180% |
| $ \frac{2}{5} $ | 0.4 | 40% |
| $ \frac{13}{50} $ | 0.26 | 26% |
| $ \frac{13}{40} $ | 0.325 | 32.5% |
| $ \frac{5}{8} $ | 0.625 | 62.5% |

> Note: Row 11 matches Row 3 — possible repetition.

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Right Table:

| Fraction | Decimal | Percent |
|----------------|------------|---------------|
| $ \frac{9}{17} $ | 0.5294 | 52.94% |
| $ \frac{67}{1000} $ | 0.067 | 6.7% |
| $ \frac{36}{125} $ | 0.288 | 28.8% |
| $ \frac{3}{8} $ | 0.375 | 37.5% |
| $ \frac{37}{40} $ | 0.925 | 92.5% |
| $ \frac{187}{500} $ | 0.374 | $ 37\frac{2}{5}\% $ |
| $ \frac{11}{18} $ | 0.6111 | 61.11% |
| $ \frac{3}{4} $ | 0.75 | 75% |
| $ \frac{7}{9} $ | 0.7778 | 77.78% |
| $ \frac{163}{200} $ | 0.815 | 81.5% |
| $ \frac{133}{200} $ | 0.665 | 66.5% |

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✔ Summary:

All blanks are now filled using proper conversions between fractions, decimals, and percents. Some values are approximated to four decimal places where necessary.

Let me know if you'd like this in printable format or with step-by-step calculations for any specific row!