1. Mixed Numbers & Improper Fractions

2. Objectives • Objective: We will convert improper fractions to mixed numbers and mixed numbers to improper fractions. • Language Objective: We will use key words convert, mixed number, and improper fraction.

3. Vocabulary • convert – to change from one form to another • mixed number – a whole number and a fraction • improper fraction – a fraction larger than one whole; the numerator is larger than the denominator

4. Mixed Numbers • A mixed number has a part that is a whole and a part that is a fraction. 3 1 = 4

5. Write the mixed number: 3 3 = 4

6. Write the mixed number: • 1 5 = 2

7. Write the mixed number: 2 2 = 3

8. Mixed Number → Improper Fraction • Multiply the whole number times the denominator • Add your answer to the numerator • Put that number over the denominator Add the numerator Put that number over the denominator Multiply the whole number times the denominator + • 1 • 5 2 2 2 x • 1 • 5 2 = 2 2

9. Convert the mixed number to an improper fraction: • 1 • 9 • 4 2 2

10. Convert the mixed number to an improper fraction: • 2 • 20 • 6 3 3

11. Convert the mixed number to an improper fraction: • 2 • 17 • 3 5 5

12. Convert the mixed number to an improper fraction: • 3 • 19 • 4 4 4

13. Convert the mixed number to an improper fraction: • 1 • 19 • 6 3 3

14. Convert the mixed number to an improper fraction: • 3 • 43 • 8 5 5

15. Improper Fractions • A fraction in which the numerator is greater than the denominator. 8 = 4

16. Write the improper fraction: • 19 = 4

17. Write the improper fraction: • 11 = 2

18. Write the improper fraction: • 9 = 3

19. Improper Fraction → Mixed Number • Divide the numerator by the denominator • Put the remainder over the denominator Write the remainder over the denominator 2 Divide the numerator by the denominator • R 1 2 • 5 • 2 4 • 1 • 5 • 1 2 = 2 2

20. Convert the improper fraction to a mixed number: • 7 • 1 • 2 3 3

21. Convert the improper fraction to a mixed number: • 8 • 2 • 2 3 3

22. Convert the improper fraction to a mixed number: • 9 • 1 • 4 2 2

23. Convert the improper fraction to a mixed number: • 11 • 1 • 2 5 5

24. Convert the improper fraction to a mixed number: If there is no remainder then your answer is a whole number! • 10 • 2 5

25. Convert the improper fraction to a mixed number: • 16 • 4 4

26. Conclusion • At the bottom of today’s notes, complete this sentence: • One thing I need to remember from today’s lesson is…