Grade 5 Improper Fractions Worksheets | Free Worksheets | Printables - Free Printable
Educational worksheet: Grade 5 Improper Fractions Worksheets | Free Worksheets | Printables. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Improper Fractions Worksheets | Free Worksheets | Printables
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Improper Fractions Worksheets | Free Worksheets | Printables
Let's solve the worksheet step by step. The task is to convert improper fractions to mixed numbers.
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1. Divide the numerator by the denominator.
2. The quotient becomes the whole number.
3. The remainder becomes the new numerator.
4. The denominator stays the same.
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Now, let’s go through each problem:
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- $ 16 ÷ 5 = 3 $ remainder $ 1 $
- So, $ \frac{16}{5} = 3 \frac{1}{5} $
✔ Answer: $ 3 \frac{1}{5} $
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- $ 22 ÷ 4 = 5 $ remainder $ 2 $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- So, $ \frac{22}{4} = 5 \frac{1}{2} $
✔ Answer: $ 5 \frac{1}{2} $
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- $ 33 ÷ 10 = 3 $ remainder $ 3 $
- So, $ \frac{33}{10} = 3 \frac{3}{10} $
✔ Answer: $ 3 \frac{3}{10} $
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- $ 12 ÷ 5 = 2 $ remainder $ 2 $
- So, $ \frac{12}{5} = 2 \frac{2}{5} $
✔ Answer: $ 2 \frac{2}{5} $
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- $ 36 ÷ 5 = 7 $ remainder $ 1 $
- So, $ \frac{36}{5} = 7 \frac{1}{5} $
✔ Answer: $ 7 \frac{1}{5} $
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- $ 27 ÷ 8 = 3 $ remainder $ 3 $
- So, $ \frac{27}{8} = 3 \frac{3}{8} $
✔ Answer: $ 3 \frac{3}{8} $
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- $ 29 ÷ 9 = 3 $ remainder $ 2 $
- So, $ \frac{29}{9} = 3 \frac{2}{9} $
✔ Answer: $ 3 \frac{2}{9} $
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- $ 30 ÷ 7 = 4 $ remainder $ 2 $
- So, $ \frac{30}{7} = 4 \frac{2}{7} $
✔ Answer: $ 4 \frac{2}{7} $
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- $ 52 ÷ 12 = 4 $ remainder $ 4 $
- Simplify $ \frac{4}{12} = \frac{1}{3} $
- So, $ \frac{52}{12} = 4 \frac{1}{3} $
✔ Answer: $ 4 \frac{1}{3} $
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- $ 83 ÷ 9 = 9 $ remainder $ 2 $
- So, $ \frac{83}{9} = 9 \frac{2}{9} $
✔ Answer: $ 9 \frac{2}{9} $
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- $ 44 ÷ 7 = 6 $ remainder $ 2 $
- So, $ \frac{44}{7} = 6 \frac{2}{7} $
✔ Answer: $ 6 \frac{2}{7} $
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- $ 65 ÷ 8 = 8 $ remainder $ 1 $
- So, $ \frac{65}{8} = 8 \frac{1}{8} $
✔ Answer: $ 8 \frac{1}{8} $
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- $ 25 ÷ 12 = 2 $ remainder $ 1 $
- So, $ \frac{25}{12} = 2 \frac{1}{12} $
✔ Answer: $ 2 \frac{1}{12} $
---
- $ 46 ÷ 15 = 3 $ remainder $ 1 $
- So, $ \frac{46}{15} = 3 \frac{1}{15} $
✔ Answer: $ 3 \frac{1}{15} $
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- $ 112 ÷ 10 = 11 $ remainder $ 2 $
- Simplify $ \frac{2}{10} = \frac{1}{5} $
- So, $ \frac{112}{10} = 11 \frac{1}{5} $
✔ Answer: $ 11 \frac{1}{5} $
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- $ 40 ÷ 9 = 4 $ remainder $ 4 $
- So, $ \frac{40}{9} = 4 \frac{4}{9} $
✔ Answer: $ 4 \frac{4}{9} $
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- $ 37 ÷ 6 = 6 $ remainder $ 1 $
- So, $ \frac{37}{6} = 6 \frac{1}{6} $
✔ Answer: $ 6 \frac{1}{6} $
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- $ 49 ÷ 8 = 6 $ remainder $ 1 $
- So, $ \frac{49}{8} = 6 \frac{1}{8} $
✔ Answer: $ 6 \frac{1}{8} $
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| Problem | Answer |
|--------|--------|
| 1. $ \frac{16}{5} $ | $ 3 \frac{1}{5} $ |
| 2. $ \frac{22}{4} $ | $ 5 \frac{1}{2} $ |
| 3. $ \frac{33}{10} $ | $ 3 \frac{3}{10} $ |
| 4. $ \frac{12}{5} $ | $ 2 \frac{2}{5} $ |
| 5. $ \frac{36}{5} $ | $ 7 \frac{1}{5} $ |
| 6. $ \frac{27}{8} $ | $ 3 \frac{3}{8} $ |
| 7. $ \frac{29}{9} $ | $ 3 \frac{2}{9} $ |
| 8. $ \frac{30}{7} $ | $ 4 \frac{2}{7} $ |
| 9. $ \frac{52}{12} $ | $ 4 \frac{1}{3} $ |
| 10. $ \frac{83}{9} $ | $ 9 \frac{2}{9} $ |
| 11. $ \frac{44}{7} $ | $ 6 \frac{2}{7} $ |
| 12. $ \frac{65}{8} $ | $ 8 \frac{1}{8} $ |
| 13. $ \frac{25}{12} $ | $ 2 \frac{1}{12} $ |
| 14. $ \frac{46}{15} $ | $ 3 \frac{1}{15} $ |
| 15. $ \frac{112}{10} $ | $ 11 \frac{1}{5} $ |
| 16. $ \frac{40}{9} $ | $ 4 \frac{4}{9} $ |
| 17. $ \frac{37}{6} $ | $ 6 \frac{1}{6} $ |
| 18. $ \frac{49}{8} $ | $ 6 \frac{1}{8} $ |
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💡 Tip: Always check if the fractional part can be simplified (like in problems 2, 9, and 15). This ensures your answer is in simplest form.
Let me know if you'd like this as a printable PDF or with steps explained for each!
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🔷 How to Convert an Improper Fraction to a Mixed Number:
1. Divide the numerator by the denominator.
2. The quotient becomes the whole number.
3. The remainder becomes the new numerator.
4. The denominator stays the same.
---
Now, let’s go through each problem:
---
1. $ \frac{16}{5} $
- $ 16 ÷ 5 = 3 $ remainder $ 1 $
- So, $ \frac{16}{5} = 3 \frac{1}{5} $
✔ Answer: $ 3 \frac{1}{5} $
---
2. $ \frac{22}{4} $
- $ 22 ÷ 4 = 5 $ remainder $ 2 $
- Simplify $ \frac{2}{4} = \frac{1}{2} $
- So, $ \frac{22}{4} = 5 \frac{1}{2} $
✔ Answer: $ 5 \frac{1}{2} $
---
3. $ \frac{33}{10} $
- $ 33 ÷ 10 = 3 $ remainder $ 3 $
- So, $ \frac{33}{10} = 3 \frac{3}{10} $
✔ Answer: $ 3 \frac{3}{10} $
---
4. $ \frac{12}{5} $
- $ 12 ÷ 5 = 2 $ remainder $ 2 $
- So, $ \frac{12}{5} = 2 \frac{2}{5} $
✔ Answer: $ 2 \frac{2}{5} $
---
5. $ \frac{36}{5} $
- $ 36 ÷ 5 = 7 $ remainder $ 1 $
- So, $ \frac{36}{5} = 7 \frac{1}{5} $
✔ Answer: $ 7 \frac{1}{5} $
---
6. $ \frac{27}{8} $
- $ 27 ÷ 8 = 3 $ remainder $ 3 $
- So, $ \frac{27}{8} = 3 \frac{3}{8} $
✔ Answer: $ 3 \frac{3}{8} $
---
7. $ \frac{29}{9} $
- $ 29 ÷ 9 = 3 $ remainder $ 2 $
- So, $ \frac{29}{9} = 3 \frac{2}{9} $
✔ Answer: $ 3 \frac{2}{9} $
---
8. $ \frac{30}{7} $
- $ 30 ÷ 7 = 4 $ remainder $ 2 $
- So, $ \frac{30}{7} = 4 \frac{2}{7} $
✔ Answer: $ 4 \frac{2}{7} $
---
9. $ \frac{52}{12} $
- $ 52 ÷ 12 = 4 $ remainder $ 4 $
- Simplify $ \frac{4}{12} = \frac{1}{3} $
- So, $ \frac{52}{12} = 4 \frac{1}{3} $
✔ Answer: $ 4 \frac{1}{3} $
---
10. $ \frac{83}{9} $
- $ 83 ÷ 9 = 9 $ remainder $ 2 $
- So, $ \frac{83}{9} = 9 \frac{2}{9} $
✔ Answer: $ 9 \frac{2}{9} $
---
11. $ \frac{44}{7} $
- $ 44 ÷ 7 = 6 $ remainder $ 2 $
- So, $ \frac{44}{7} = 6 \frac{2}{7} $
✔ Answer: $ 6 \frac{2}{7} $
---
12. $ \frac{65}{8} $
- $ 65 ÷ 8 = 8 $ remainder $ 1 $
- So, $ \frac{65}{8} = 8 \frac{1}{8} $
✔ Answer: $ 8 \frac{1}{8} $
---
13. $ \frac{25}{12} $
- $ 25 ÷ 12 = 2 $ remainder $ 1 $
- So, $ \frac{25}{12} = 2 \frac{1}{12} $
✔ Answer: $ 2 \frac{1}{12} $
---
14. $ \frac{46}{15} $
- $ 46 ÷ 15 = 3 $ remainder $ 1 $
- So, $ \frac{46}{15} = 3 \frac{1}{15} $
✔ Answer: $ 3 \frac{1}{15} $
---
15. $ \frac{112}{10} $
- $ 112 ÷ 10 = 11 $ remainder $ 2 $
- Simplify $ \frac{2}{10} = \frac{1}{5} $
- So, $ \frac{112}{10} = 11 \frac{1}{5} $
✔ Answer: $ 11 \frac{1}{5} $
---
16. $ \frac{40}{9} $
- $ 40 ÷ 9 = 4 $ remainder $ 4 $
- So, $ \frac{40}{9} = 4 \frac{4}{9} $
✔ Answer: $ 4 \frac{4}{9} $
---
17. $ \frac{37}{6} $
- $ 37 ÷ 6 = 6 $ remainder $ 1 $
- So, $ \frac{37}{6} = 6 \frac{1}{6} $
✔ Answer: $ 6 \frac{1}{6} $
---
18. $ \frac{49}{8} $
- $ 49 ÷ 8 = 6 $ remainder $ 1 $
- So, $ \frac{49}{8} = 6 \frac{1}{8} $
✔ Answer: $ 6 \frac{1}{8} $
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $ \frac{16}{5} $ | $ 3 \frac{1}{5} $ |
| 2. $ \frac{22}{4} $ | $ 5 \frac{1}{2} $ |
| 3. $ \frac{33}{10} $ | $ 3 \frac{3}{10} $ |
| 4. $ \frac{12}{5} $ | $ 2 \frac{2}{5} $ |
| 5. $ \frac{36}{5} $ | $ 7 \frac{1}{5} $ |
| 6. $ \frac{27}{8} $ | $ 3 \frac{3}{8} $ |
| 7. $ \frac{29}{9} $ | $ 3 \frac{2}{9} $ |
| 8. $ \frac{30}{7} $ | $ 4 \frac{2}{7} $ |
| 9. $ \frac{52}{12} $ | $ 4 \frac{1}{3} $ |
| 10. $ \frac{83}{9} $ | $ 9 \frac{2}{9} $ |
| 11. $ \frac{44}{7} $ | $ 6 \frac{2}{7} $ |
| 12. $ \frac{65}{8} $ | $ 8 \frac{1}{8} $ |
| 13. $ \frac{25}{12} $ | $ 2 \frac{1}{12} $ |
| 14. $ \frac{46}{15} $ | $ 3 \frac{1}{15} $ |
| 15. $ \frac{112}{10} $ | $ 11 \frac{1}{5} $ |
| 16. $ \frac{40}{9} $ | $ 4 \frac{4}{9} $ |
| 17. $ \frac{37}{6} $ | $ 6 \frac{1}{6} $ |
| 18. $ \frac{49}{8} $ | $ 6 \frac{1}{8} $ |
---
💡 Tip: Always check if the fractional part can be simplified (like in problems 2, 9, and 15). This ensures your answer is in simplest form.
Let me know if you'd like this as a printable PDF or with steps explained for each!
Parent Tip: Review the logic above to help your child master the concept of improper fraction to mixed number worksheet pdf.
