Let's solve each problem step by step.
We are asked to
convert improper fractions to mixed numbers.
An
improper fraction is a fraction where the numerator is greater than or equal to the denominator.
A
mixed number consists of a whole number and a proper fraction.
How to convert an improper fraction to a mixed number:
1. Divide the numerator by the denominator.
2. The
quotient becomes the whole number part.
3. The
remainder becomes the numerator of the fractional part.
4. The
denominator stays the same.
---
Now, let’s solve each one:
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1. $ \frac{25}{4} $
- $ 25 \div 4 = 6 $ remainder $ 1 $
- So, $ \frac{25}{4} = 6 \frac{1}{4} $
✔ Answer: $ 6 \frac{1}{4} $
---
2. $ \frac{17}{2} $
- $ 17 \div 2 = 8 $ remainder $ 1 $
- So, $ \frac{17}{2} = 8 \frac{1}{2} $
✔ Answer: $ 8 \frac{1}{2} $
---
3. $ \frac{39}{5} $
- $ 39 \div 5 = 7 $ remainder $ 4 $
- So, $ \frac{39}{5} = 7 \frac{4}{5} $
✔ Answer: $ 7 \frac{4}{5} $
---
4. $ \frac{32}{3} $
- $ 32 \div 3 = 10 $ remainder $ 2 $
- So, $ \frac{32}{3} = 10 \frac{2}{3} $
✔ Answer: $ 10 \frac{2}{3} $
---
5. $ \frac{57}{7} $
- $ 57 \div 7 = 8 $ remainder $ 1 $
- So, $ \frac{57}{7} = 8 \frac{1}{7} $
✔ Answer: $ 8 \frac{1}{7} $
---
6. $ \frac{29}{6} $
- $ 29 \div 6 = 4 $ remainder $ 5 $
- So, $ \frac{29}{6} = 4 \frac{5}{6} $
✔ Answer: $ 4 \frac{5}{6} $
---
7. $ \frac{43}{11} $
- $ 43 \div 11 = 3 $ remainder $ 10 $
- So, $ \frac{43}{11} = 3 \frac{10}{11} $
✔ Answer: $ 3 \frac{10}{11} $
---
8. $ \frac{66}{9} $
- $ 66 \div 9 = 7 $ remainder $ 3 $
- So, $ \frac{66}{9} = 7 \frac{3}{9} $
- Simplify $ \frac{3}{9} = \frac{1}{3} $
- So, $ 7 \frac{1}{3} $
✔ Answer: $ 7 \frac{1}{3} $
---
9. $ \frac{51}{8} $
- $ 51 \div 8 = 6 $ remainder $ 3 $
- So, $ \frac{51}{8} = 6 \frac{3}{8} $
✔ Answer: $ 6 \frac{3}{8} $
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10. $ \frac{76}{10} $
- $ 76 \div 10 = 7 $ remainder $ 6 $
- So, $ \frac{76}{10} = 7 \frac{6}{10} $
- Simplify $ \frac{6}{10} = \frac{3}{5} $
- So, $ 7 \frac{3}{5} $
✔ Answer: $ 7 \frac{3}{5} $
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✔ Final Answers:
1. $ 6 \frac{1}{4} $
2. $ 8 \frac{1}{2} $
3. $ 7 \frac{4}{5} $
4. $ 10 \frac{2}{3} $
5. $ 8 \frac{1}{7} $
6. $ 4 \frac{5}{6} $
7. $ 3 \frac{10}{11} $
8. $ 7 \frac{1}{3} $
9. $ 6 \frac{3}{8} $
10. $ 7 \frac{3}{5} $
Let me know if you'd like this as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of changing improper fractions to mixed numbers worksheet.
