It looks like the worksheet titled
"Convert mixed fractions to decimals" contains a list of
fractions, not mixed fractions. A *mixed fraction* is a combination of a whole number and a proper fraction (e.g., $ 2\frac{1}{4} $), but all the entries here are
simple fractions (like $ \frac{1}{4}, \frac{8}{15}, \frac{1}{2} $, etc.).
So, the task is actually to
convert these simple fractions into decimal form, not mixed fractions.
Let’s go through each problem and convert the given
fractions to decimals.
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✔ Step-by-step conversion:
We’ll divide the numerator by the denominator for each fraction.
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1. $ \frac{1}{4} = 1 \div 4 = 0.25 $
2. $ \frac{8}{15} = 8 \div 15 = 0.5333... \approx 0.533 $ (repeating)
3. $ \frac{1}{2} = 1 \div 2 = 0.5 $
4. $ \frac{9}{11} = 9 \div 11 = 0.8181... \approx 0.818 $ (repeating)
5. $ \frac{4}{9} = 4 \div 9 = 0.444... \approx 0.444 $ (repeating)
6. $ \frac{6}{7} = 6 \div 7 = 0.857142... \approx 0.857 $ (repeating)
7. $ \frac{5}{6} = 5 \div 6 = 0.8333... \approx 0.833 $ (repeating)
8. $ \frac{6}{8} = \frac{3}{4} = 3 \div 4 = 0.75 $
9. $ \frac{5}{12} = 5 \div 12 = 0.41666... \approx 0.417 $ (rounded)
10. $ \frac{10}{14} = \frac{5}{7} = 5 \div 7 = 0.714285... \approx 0.714 $ (repeating)
11. $ \frac{2}{4} = \frac{1}{2} = 0.5 $
12. $ \frac{4}{5} = 4 \div 5 = 0.8 $
13. $ \frac{3}{13} = 3 \div 13 = 0.230769... \approx 0.231 $ (repeating)
14. $ \frac{6}{10} = 0.6 $ (already easy: just move decimal)
15. $ \frac{1}{3} = 0.333... \approx 0.333 $ (repeating)
16. $ \frac{12}{15} = \frac{4}{5} = 0.8 $
17. $ \frac{7}{9} = 7 \div 9 = 0.777... \approx 0.778 $ (repeating)
18. $ \frac{1}{9} = 0.111... \approx 0.111 $ (repeating)
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✔ Final Answers (rounded to 3 decimal places where needed):
| Problem | Fraction | Decimal |
|--------|----------|---------|
| 1 | $ \frac{1}{4} $ |
0.250 |
| 2 | $ \frac{8}{15} $ |
0.533 |
| 3 | $ \frac{1}{2} $ |
0.500 |
| 4 | $ \frac{9}{11} $ |
0.818 |
| 5 | $ \frac{4}{9} $ |
0.444 |
| 6 | $ \frac{6}{7} $ |
0.857 |
| 7 | $ \frac{5}{6} $ |
0.833 |
| 8 | $ \frac{6}{8} $ |
0.750 |
| 9 | $ \frac{5}{12} $ |
0.417 |
| 10 | $ \frac{10}{14} $ |
0.714 |
| 11 | $ \frac{2}{4} $ |
0.500 |
| 12 | $ \frac{4}{5} $ |
0.800 |
| 13 | $ \frac{3}{13} $ |
0.231 |
| 14 | $ \frac{6}{10} $ |
0.600 |
| 15 | $ \frac{1}{3} $ |
0.333 |
| 16 | $ \frac{12}{15} $ |
0.800 |
| 17 | $ \frac{7}{9} $ |
0.778 |
| 18 | $ \frac{1}{9} $ |
0.111 |
---
📝 Notes:
- Some decimals are
repeating, so we rounded them to
three decimal places.
- For example: $ \frac{1}{3} = 0.\overline{3} $, written as
0.333
- Simplify fractions first when possible (e.g., $ \frac{6}{8} = \frac{3}{4} $)
- Use long division or calculator for non-simple fractions.
Let me know if you'd like a printable version or explanations for any specific one!
Parent Tip: Review the logic above to help your child master the concept of mixed number to decimal worksheet.
