1. Fractions V Mixed Numbers & Improper Factions

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

3. What is the mixed number? =3 3 4

4. =4 3 4

5. =5 1 2

6. Improper Fraction A fraction in which the numerator is greater than the denominator. A fraction in which the numerator is greater than the denominator. = 8 4

7. Why do we need them? To subtract fractions when regrouping is needed (borrowing) To subtract fractions when regrouping is needed (borrowing) To multiply fractions To multiply fractions To divide fractions To divide fractions

8. What is the improper fraction? = 15 4

9. What is the improper fraction? = 19 4

10. What is the improper fraction? = 11 2

11. How can we show this amount as a mixed number and an improper fraction? = 11 2 = 1 2 5

12. How to change an improper fraction to a mixed number = 5 2  Divide the numerator by the denominator.  Put your remainder over the denominator.

13. How to change an improper fraction to a mixed number = 5 2 2 ) 5 numerator denominator

14. How to change an improper fraction to a mixed number = 5 2 2 ) 5 numerator denominator 2r1

15. How to change an improper fraction to a mixed number = 5 2 2 ) 5 numerator denominator 2 1 Put your remainder over the denominator. 2

16. How to change an improper fraction to a mixed number = 5 2 1 2 2

17. Change this improper fraction to a mixed number. 7 3 = 3 ) 7 2 r1 Put your remainder over the denominator. = 2 1 3

18. Change this improper fraction to a mixed number. 8 3 = 3 ) 8 2 r2 = 2 2 3

19. 9 2 = 2 ) 9 4 r1 = 4 1 2

20. 11 5 = 5 ) 2 r1 = 2 1 5

21. Change this improper fraction to a mixed number. 10 5 = 5 ) 2 If there is no remainder your answer is a whole number. = 2

22. Change this improper fraction to a mixed number. 16 4 = 4 ) 4 If there is no remainder your answer is a whole number. = 4

23. How to change a mixed number to an improper fraction Multiply the whole number by the denominator. Multiply the whole number by the denominator. Add your answer to the numerator. Add your answer to the numerator. Put your new number Put your new number over the original denominator. over the original denominator. 4 1 2 x + = 7 2

24. Change this mixed number to an improper fraction Multiply the whole number times the denominator. Multiply the whole number times the denominator. Add your answer to the numerator. Add your answer to the numerator. Put your new number Put your new number over the original denominator. over the original denominator. 6 2 3 x + = 20 3

25. Change this mixed number to an improper fraction Multiply the whole number times the denominator. Multiply the whole number times the denominator. Add your answer to the numerator. Add your answer to the numerator. Put your new number Put your new number over the denominator. over the denominator. 3 2 5 x + = 17 5

26. Change this mixed number to an improper fraction Multiply the whole number times the denominator. Multiply the whole number times the denominator. Add your answer to the numerator. Add your answer to the numerator. Put your new number Put your new number over the denominator. over the denominator. 4 3 4 x + = 19 4

27. Change this mixed number to an improper fraction Multiply the whole number times the denominator. Multiply the whole number times the denominator. Add your answer to the numerator. Add your answer to the numerator. Put your new number Put your new number over the denominator. over the denominator. 6 2 3 x + = 20 3

28. Change this mixed number to an improper fraction Multiply the whole number times the denominator. Multiply the whole number times the denominator. Add your answer to the numerator. Add your answer to the numerator. Put your new number Put your new number over the denominator. over the denominator. 8 3 5 x + = 43 5

29. On Your Own… 3 = 1 6 6 19 4 10 = 2 2 4

30. On Your Own… 5 = 4 7 7 39 4 21 = 5 1 4

31. On Your Own… 12 = 2 3 3 38 8 42 = 5 2 8

32. The End