1. OBJECTIVES 1. DEFINE and GIVE EXAMPLES of: proper fractions
improper fractions
mixed numbers.
2. CONVERT between proper fractions, improper fractions and mixed numbers.
3. SOLVE mathematical problems involving fractions by:
reducing the fraction
solving for the Lowest Common Denominator
changing the form of the fraction
4. Without a calculator; ADD, SUBTRACT, MULTIPLY and DIVIDE fractions (proper fractions, improper fractions, and mixed numbers).
5. With an approved calculator; ADD, SUBTRACT, MULTIPLY and DIVIDE fractions (proper fractions, improper fractions, and mixed numbers).

2. EXAMPLE
Ex 2-1

3. EXAMPLE
Ex 2-2

4. EXAMPLE
Ex 2-3

5. EXAMPLE 2/7 + 3/7
Fig 2-1

6. EXAMPLE
Ex 2-4

7. EXAMPLE 3/4
Fig 2-2

8. EXAMPLE 6/8
Fig 2-3

9. EXAMPLE
Ex 2-5

10. EXAMPLE
Ex 2-6

11. EXAMPLE
Ex 2-7

12. EXAMPLE
Ex 2-8

13. EXAMPLE
Ex 2-9

14. EXAMPLE
Ex 2-10

15. EXAMPLE
Step 3. Multiply together all of the factors of the Least Common Denominator (LCD).
The LCD is equal to
2 × 2 × 3 = 12
Step 4. For each denominator to be added or subtracted determine which factor(s) the denominator must be multiplied by to reach the LCD.
Ex 2-10

16. EXAMPLE
Ex 2-10

17. EXAMPLE
Ex 2-10

18. EXAMPLE
Ex 2-11

19. EXAMPLE
Ex 2-11

20. EXAMPLE
Ex 2-11

21. EXAMPLE
Ex 2-11

22. EXAMPLE
Ex 2-12

23. EXAMPLE
Step 2. Determine the Least Common Denominator (LCD) by determining how many times each factor must be used.
Ex 2-12

24. EXAMPLE
Ex 2-12

25. EXAMPLE
Ex 2-12

26. EXAMPLE
Ex 2-12

27. EXAMPLE
Ex 2-12

28. EXAMPLE
Ex 2-13

29. EXAMPLE
Ex 2-13

30. EXAMPLE
Ex 2-13

31. EXAMPLE
Ex 2-13

32. EXAMPLE
Ex 2-14

33. EXAMPLE
Ex 2-15

34. EXAMPLE
Ex 2-16

35. EXAMPLE 1/2  1/3
Fig 2-4

36. EXAMPLE
Ex 2-17

37. EXAMPLE
Ex 2-18

38. EXAMPLE
Ex 2-19

39. EXAMPLE
Ex 2-20

40. EXAMPLE
Ex 2-21

41. EXAMPLE
Ex 2-22

42. EXAMPLE
Ex 2-22

43. EXAMPLE
Ex 2-22

44. EXAMPLE
Ex 2-22

45. EXAMPLE
Ex 2-23

46. EXAMPLE
Ex 2-24

47. EXAMPLE
Ex 2-24

48. EXAMPLE
Ex 2-25

49. EXAMPLE
Ex 2-25

50. EXAMPLE
Ex 2-26

51. EXAMPLE
Ex 2-26

52. EXAMPLE
Ex 2-27

53. EXAMPLE
Ex 2-27

54. EXAMPLE
Ex 2-28

55. EXAMPLE
Ex 2-29

56. EXAMPLE
Ex 2-29

57. EXAMPLE
Ex 2-30

58. EXAMPLE
Ex 2-30

59. EXAMPLE
Ex 2-30

60. EXAMPLE
Ex 2-30

61. EXAMPLE
Ex 2-31

62. EXAMPLE
Ex 2-32

63. EXAMPLE
Ex 2-32

64. EXAMPLE
Ex 2-33

65. EXAMPLE
Ex 2-33

66. EXAMPLE
Ex 2-34

67. EXAMPLE
Ex 2-35

68. EXAMPLE
Ex 2-36

69. EXAMPLE
Ex 2-36

70. EXAMPLE
Ex 2-36

71. EXAMPLE
Ex 2-36

72. EXAMPLE
Ex 2-37

73. EXAMPLE
Ex 2-38