Let's solve each problem step by step. The task is to
convert improper fractions to mixed numbers.
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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.
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Now, let's solve each one:
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1. $ \frac{9}{4} $
- $ 9 \div 4 = 2 $ remainder $ 1 $
- So, $ \frac{9}{4} = 2 \frac{1}{4} $
✔ Answer: $ 2 \frac{1}{4} $
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2. $ \frac{26}{7} $
- $ 26 \div 7 = 3 $ remainder $ 5 $
- So, $ \frac{26}{7} = 3 \frac{5}{7} $
✔ Answer: $ 3 \frac{5}{7} $
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3. $ \frac{15}{6} $
- $ 15 \div 6 = 2 $ remainder $ 3 $
- So, $ \frac{15}{6} = 2 \frac{3}{6} $
- Simplify $ \frac{3}{6} = \frac{1}{2} $
- So, $ 2 \frac{1}{2} $
✔ Answer: $ 2 \frac{1}{2} $
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4. $ \frac{22}{5} $
- $ 22 \div 5 = 4 $ remainder $ 2 $
- So, $ \frac{22}{5} = 4 \frac{2}{5} $
✔ Answer: $ 4 \frac{2}{5} $
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5. $ \frac{29}{3} $
- $ 29 \div 3 = 9 $ remainder $ 2 $
- So, $ \frac{29}{3} = 9 \frac{2}{3} $
✔ Answer: $ 9 \frac{2}{3} $
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6. $ \frac{66}{10} $
- $ 66 \div 10 = 6 $ remainder $ 6 $
- So, $ \frac{66}{10} = 6 \frac{6}{10} $
- Simplify $ \frac{6}{10} = \frac{3}{5} $
- So, $ 6 \frac{3}{5} $
✔ Answer: $ 6 \frac{3}{5} $
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7. $ \frac{50}{8} $
- $ 50 \div 8 = 6 $ remainder $ 2 $
- So, $ \frac{50}{8} = 6 \frac{2}{8} $
- Simplify $ \frac{2}{8} = \frac{1}{4} $
- So, $ 6 \frac{1}{4} $
✔ Answer: $ 6 \frac{1}{4} $
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8. $ \frac{69}{11} $
- $ 69 \div 11 = 6 $ remainder $ 3 $
- So, $ \frac{69}{11} = 6 \frac{3}{11} $
✔ Answer: $ 6 \frac{3}{11} $
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9. $ \frac{84}{9} $
- $ 84 \div 9 = 9 $ remainder $ 3 $
- So, $ \frac{84}{9} = 9 \frac{3}{9} $
- Simplify $ \frac{3}{9} = \frac{1}{3} $
- So, $ 9 \frac{1}{3} $
✔ Answer: $ 9 \frac{1}{3} $
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10. $ \frac{67}{8} $
- $ 67 \div 8 = 8 $ remainder $ 3 $
- So, $ \frac{67}{8} = 8 \frac{3}{8} $
✔ Answer: $ 8 \frac{3}{8} $
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✔ Final Answers:
1. $ 2 \frac{1}{4} $
2. $ 3 \frac{5}{7} $
3. $ 2 \frac{1}{2} $
4. $ 4 \frac{2}{5} $
5. $ 9 \frac{2}{3} $
6. $ 6 \frac{3}{5} $
7. $ 6 \frac{1}{4} $
8. $ 6 \frac{3}{11} $
9. $ 9 \frac{1}{3} $
10. $ 8 \frac{3}{8} $
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Let me know if you'd like this formatted as a printable worksheet or need help with simplifying fractions!
Parent Tip: Review the logic above to help your child master the concept of convert mixed numbers to improper fractions worksheet.
