Math worksheet for converting fractions to decimal numbers.
A math worksheet titled "Converting Fraction to Decimal Number" with 15 fractions to convert into decimal form, designed for educational practice.
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Show Answer Key & Explanations
Step-by-step solution for: Converting Fractions to from Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Converting Fractions to from Decimals Worksheets - Math Monks
Let's solve each fraction by converting it into a decimal number. To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). We'll go through each one step by step.
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- Simplify: $ \frac{4}{6} = \frac{2}{3} $
- $ 2 \div 3 = 0.\overline{6} $ → 0.666...
- Answer: $ \boxed{0.67} $ (rounded to two decimal places)
> *Note: If exact repeating decimals are allowed, write $ 0.\overline{6} $. But usually, we round to two decimals unless specified.*
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- $ 8 \div 3 = 2.\overline{6} $ → 2.67 (rounded)
- Answer: $ \boxed{2.67} $
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- $ 11 \div 5 = 2.2 $
- Answer: $ \boxed{2.2} $
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- $ 5 \div 3 = 1.\overline{6} $ → 1.67 (rounded)
- Answer: $ \boxed{1.67} $
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- $ 25 \div 4 = 6.25 $
- Answer: $ \boxed{6.25} $
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- $ 1 \div 5 = 0.2 $
- Answer: $ \boxed{0.2} $
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- $ 3 \div 4 = 0.75 $
- Answer: $ \boxed{0.75} $
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- $ 12 \div 5 = 2.4 $
- Answer: $ \boxed{2.4} $
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- Simplify: $ \frac{16}{22} = \frac{8}{11} $
- $ 8 \div 11 = 0.\overline{72} $ → 0.73 (rounded)
- Answer: $ \boxed{0.73} $
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- $ 2 \div 15 = 0.1\overline{3} $ → 0.13 (rounded)
- Answer: $ \boxed{0.13} $
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- $ 9 \div 7 = 1.\overline{285714} $ → 1.29 (rounded)
- Answer: $ \boxed{1.29} $
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- $ 4 \div 5 = 0.8 $
- Answer: $ \boxed{0.8} $
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- $ 18 \div 7 = 2.\overline{571428} $ → 2.57 (rounded)
- Answer: $ \boxed{2.57} $
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- $ 24 \div 11 = 2.\overline{18} $ → 2.18 (rounded)
- Answer: $ \boxed{2.18} $
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- $ 33 \div 10 = 3.3 $
- Answer: $ \boxed{3.3} $
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- $ 1 \div 8 = 0.125 $
- Answer: $ \boxed{0.125} $
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- $ 8 \div 15 = 0.5\overline{3} $ → 0.53 (rounded)
- Answer: $ \boxed{0.53} $
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- $ 13 \div 10 = 1.3 $
- Answer: $ \boxed{1.3} $
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| Fraction | Decimal |
|--------|--------|
| $ \frac{4}{6} $ | 0.67 |
| $ \frac{8}{3} $ | 2.67 |
| $ \frac{11}{5} $ | 2.2 |
| $ \frac{5}{3} $ | 1.67 |
| $ \frac{25}{4} $ | 6.25 |
| $ \frac{1}{5} $ | 0.2 |
| $ \frac{3}{4} $ | 0.75 |
| $ \frac{12}{5} $ | 2.4 |
| $ \frac{16}{22} $ | 0.73 |
| $ \frac{2}{15} $ | 0.13 |
| $ \frac{9}{7} $ | 1.29 |
| $ \frac{4}{5} $ | 0.8 |
| $ \frac{18}{7} $ | 2.57 |
| $ \frac{24}{11} $ | 2.18 |
| $ \frac{33}{10} $ | 3.3 |
| $ \frac{1}{8} $ | 0.125 |
| $ \frac{8}{15} $ | 0.53 |
| $ \frac{13}{10} $ | 1.3 |
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- Always simplify fractions before dividing if possible.
- Use long division or a calculator for non-simple divisions.
- Round to two decimal places unless otherwise instructed.
Let me know if you want exact repeating decimals instead!
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1. $ \frac{4}{6} $
- Simplify: $ \frac{4}{6} = \frac{2}{3} $
- $ 2 \div 3 = 0.\overline{6} $ → 0.666...
- Answer: $ \boxed{0.67} $ (rounded to two decimal places)
> *Note: If exact repeating decimals are allowed, write $ 0.\overline{6} $. But usually, we round to two decimals unless specified.*
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2. $ \frac{8}{3} $
- $ 8 \div 3 = 2.\overline{6} $ → 2.67 (rounded)
- Answer: $ \boxed{2.67} $
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3. $ \frac{11}{5} $
- $ 11 \div 5 = 2.2 $
- Answer: $ \boxed{2.2} $
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4. $ \frac{5}{3} $
- $ 5 \div 3 = 1.\overline{6} $ → 1.67 (rounded)
- Answer: $ \boxed{1.67} $
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5. $ \frac{25}{4} $
- $ 25 \div 4 = 6.25 $
- Answer: $ \boxed{6.25} $
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6. $ \frac{1}{5} $
- $ 1 \div 5 = 0.2 $
- Answer: $ \boxed{0.2} $
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7. $ \frac{3}{4} $
- $ 3 \div 4 = 0.75 $
- Answer: $ \boxed{0.75} $
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8. $ \frac{12}{5} $
- $ 12 \div 5 = 2.4 $
- Answer: $ \boxed{2.4} $
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9. $ \frac{16}{22} $
- Simplify: $ \frac{16}{22} = \frac{8}{11} $
- $ 8 \div 11 = 0.\overline{72} $ → 0.73 (rounded)
- Answer: $ \boxed{0.73} $
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10. $ \frac{2}{15} $
- $ 2 \div 15 = 0.1\overline{3} $ → 0.13 (rounded)
- Answer: $ \boxed{0.13} $
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11. $ \frac{9}{7} $
- $ 9 \div 7 = 1.\overline{285714} $ → 1.29 (rounded)
- Answer: $ \boxed{1.29} $
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12. $ \frac{4}{5} $
- $ 4 \div 5 = 0.8 $
- Answer: $ \boxed{0.8} $
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13. $ \frac{18}{7} $
- $ 18 \div 7 = 2.\overline{571428} $ → 2.57 (rounded)
- Answer: $ \boxed{2.57} $
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14. $ \frac{24}{11} $
- $ 24 \div 11 = 2.\overline{18} $ → 2.18 (rounded)
- Answer: $ \boxed{2.18} $
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15. $ \frac{33}{10} $
- $ 33 \div 10 = 3.3 $
- Answer: $ \boxed{3.3} $
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16. $ \frac{1}{8} $
- $ 1 \div 8 = 0.125 $
- Answer: $ \boxed{0.125} $
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17. $ \frac{8}{15} $
- $ 8 \div 15 = 0.5\overline{3} $ → 0.53 (rounded)
- Answer: $ \boxed{0.53} $
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18. $ \frac{13}{10} $
- $ 13 \div 10 = 1.3 $
- Answer: $ \boxed{1.3} $
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✔ Final Answers (in order):
| Fraction | Decimal |
|--------|--------|
| $ \frac{4}{6} $ | 0.67 |
| $ \frac{8}{3} $ | 2.67 |
| $ \frac{11}{5} $ | 2.2 |
| $ \frac{5}{3} $ | 1.67 |
| $ \frac{25}{4} $ | 6.25 |
| $ \frac{1}{5} $ | 0.2 |
| $ \frac{3}{4} $ | 0.75 |
| $ \frac{12}{5} $ | 2.4 |
| $ \frac{16}{22} $ | 0.73 |
| $ \frac{2}{15} $ | 0.13 |
| $ \frac{9}{7} $ | 1.29 |
| $ \frac{4}{5} $ | 0.8 |
| $ \frac{18}{7} $ | 2.57 |
| $ \frac{24}{11} $ | 2.18 |
| $ \frac{33}{10} $ | 3.3 |
| $ \frac{1}{8} $ | 0.125 |
| $ \frac{8}{15} $ | 0.53 |
| $ \frac{13}{10} $ | 1.3 |
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📝 Tips:
- Always simplify fractions before dividing if possible.
- Use long division or a calculator for non-simple divisions.
- Round to two decimal places unless otherwise instructed.
Let me know if you want exact repeating decimals instead!
Parent Tip: Review the logic above to help your child master the concept of fraction to decimal conversion worksheet.