The document discusses multiplication and division of fractions. It states that to multiply fractions, one should multiply the numerators and multiply the denominators, cancelling terms when possible. Some examples are provided, such as multiplying 12/15 by 25/8, which equals 3/5. The document also discusses how phrases like "x fraction of y" can be translated into fractional multiplications.

1. Multiplication and Division of Fractions

2. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply.

3. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b

4. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 12 15 a. * 25 8

5. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 15 * 12 12 15 a. = * 8 * 25 25 8

6. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 15 * 12 12 15 a. = * 8 * 25 25 8 2

7. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 a. = * 8 * 25 25 8 5 2

8. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 3*3 a. = * = 8 * 25 25 8 2*5 5 2

9. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2

10. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 8 7 10 9 b. * * * 9 8 11 10

11. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 7*8*9*10 8 7 10 9 b. * * * = 9 8 11 10 8*9*10*11

12. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 7*8*9*10 8 7 10 9 b. * * * = 9 8 11 10 8*9*10*11

13. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 7*8*9*10 8 7 10 9 b. * * * = 9 8 11 10 8*9*10*11

14. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 7*8*9*10 8 7 10 9 b. * * * = 9 8 11 10 8*9*10*11

15. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 7*8*9*10 8 7 10 9 7 b. * * * = = 9 8 11 10 11 8*9*10*11

16. Multiplication and Division of Fractions Rule for Multiplication of Fractions To multiply fractions, multiply the numerators and multiply the denominators, but always cancel as much as possible first then multiply. c a*c a = * d b*d b Example A. Multiply by reducing first. 3 3 15 * 12 12 15 9 3*3 a. = * = = 8 * 25 25 8 10 2*5 5 2 7*8*9*10 8 7 10 9 7 b. * * * = = 9 8 11 10 11 8*9*10*11 c a c a ± = ± Can't do this for addition and subtraction, i.e. d b d b ±

17. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1

18. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 2 a. 18 * 3

19. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 * 3

20. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 * * 3

21. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3

22. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 11 b. 48 * 16

23. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 * 16

24. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 * 16

25. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16

26. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16 The often used phrases " (fraction) of .." are translated to multiplications correspond to this kind of problems.

27. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16 The often used phrases " (fraction) of .." are translated to multiplications correspond to this kind of problems. 2 Example C: a. What is of $108? 3

28. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16 The often used phrases " (fraction) of .." are translated to multiplications correspond to this kind of problems. 2 Example C: a. What is of $108? 3 2 * 108 The statement translates into 3

29. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16 The often used phrases " (fraction) of .." are translated to multiplications correspond to this kind of problems. 2 Example C: a. What is of $108? 3 36 2 * 108 The statement translates into 3

30. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16 The often used phrases " (fraction) of .." are translated to multiplications correspond to this kind of problems. 2 Example C: a. What is of $108? 3 36 2 * 108 = 2 * 36 The statement translates into 3

31. Multiplication and Division of Fractions a a The fractional multiplications are important. d d or b b * * Often in these problems the denominator b can be cancelled against d = . d 1 Example B: Multiply by cancelling first. 6 2 a. 18 = 2 6 = 12 * * 3 3 11 b. 48 = 3 * 11 = 33 * 16 The often used phrases " (fraction) of .." are translated to multiplications correspond to this kind of problems. 2 Example C: a. What is of $108? 3 36 2 * 108 = 2 * 36 = 72 $. The statement translates into 3

32. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops?

33. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 1 For chocolate, ¼ of 48 is * 48 4

34. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4

35. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies.

36. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 1 * 48 For caramel, 1/3 of 48 is 3

37. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3

38. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies.

39. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops.

40. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops. The fraction of the lemon drops is 20 48

41. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops. The fraction of the lemon drops is 20 20/4 = 48 48/4

42. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops. The fraction of the lemon drops is 20 20/4 5 = = 48 48/4 12

43. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops. The fraction of the lemon drops is 20 20/4 5 = = 48 48/4 12 c. A class has x students, ¾ of them are girls, how many girls are there?

44. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops. The fraction of the lemon drops is 20 20/4 5 = = 48 48/4 12 c. A class has x students, ¾ of them are girls, how many girls are there? 3 * x. It translates into multiplication as 4

45. Multiplication and Division of Fractions b. A bag of mixed candy contains 48 pieces of chocolate, caramel and lemon drops. 1/4 of them are chocolate, 1/3 of them are caramel. How many pieces of each are there? What fraction of the candies are lemon drops? 12 1 For chocolate, ¼ of 48 is * 48 = 12, 4 so there are 12 pieces of chocolate candies. 16 1 * 48 For caramel, 1/3 of 48 is = 16, 3 so there are 16 pieces of caramel candies. The rest 48 – 12 – 16 = 20 are lemon drops. The fraction of the lemon drops is 20 20/4 5 = = 48 48/4 12 c. A class has x students, ¾ of them are girls, how many girls are there? 3 * x. It translates into multiplication as 4

46. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a

47. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 So the reciprocal of is , 3 2

48. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5

49. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 the reciprocal of is 3, 3

50. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3

51. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals

52. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1.

53. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 = 1, * 3 2

54. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 = 1, 5 = 1, * * 3 2 5

55. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5

56. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5 1 II. Dividing by x is the same as multiplying by its reciprocal . x

57. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5 1 II. Dividing by x is the same as multiplying by its reciprocal . x 1 For example, 10 ÷ 2 is the same as 10 , * 2

58. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5 1 II. Dividing by x is the same as multiplying by its reciprocal . x 1 For example, 10 ÷ 2 is the same as 10 , both yield 5. * 2

59. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5 1 II. Dividing by x is the same as multiplying by its reciprocal . x 1 For example, 10 ÷ 2 is the same as 10 , both yield 5. * 2 Rule for Division of Fractions To divide by a fraction x, restate it as multiplying by the reciprocal 1/x , that is,

60. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5 1 II. Dividing by x is the same as multiplying by its reciprocal . x 1 For example, 10 ÷ 2 is the same as 10 , both yield 5. * 2 Rule for Division of Fractions To divide by a fraction x, restate it as multiplying by the reciprocal 1/x , that is, d a c a = ÷ * c b d b reciprocate

61. Reciprocal and Division of Fractions a b The reciprocal (multiplicative inverse) of is . b a 2 3 1 So the reciprocal of is , the reciprocal of 5 is , 3 2 5 1 1 and the reciprocal of x is . the reciprocal of is 3, x 3 Two Important Facts About Reciprocals I. The product of x with its reciprocal is 1. 2 3 1 1 = 1, 5 = 1, x = 1, x * * * 3 2 5 1 II. Dividing by x is the same as multiplying by its reciprocal . x 1 For example, 10 ÷ 2 is the same as 10 , both yield 5. * 2 Rule for Division of Fractions To divide by a fraction x, restate it as multiplying by the reciprocal 1/x , that is, d a*d a c a = = ÷ * c b*c b d b reciprocate

62. Reciprocal and Division of Fractions Example D: Divide the following fractions. 8 12 = a. ÷ 15 25

63. Reciprocal and Division of Fractions Example D: Divide the following fractions. 15 12 8 12 * = a. ÷ 8 25 15 25

64. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 15 12 8 12 * = a. ÷ 8 25 15 25 2

65. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 * = a. ÷ 8 25 15 25 5 2

66. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2

67. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 9 6 ÷ = b. 8

68. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 1 9 9 6 ÷ = * b. 8 8 6

69. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 9 6 ÷ = * b. 8 8 6 2

70. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2

71. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 1 5 d. ÷ 6

72. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 * = 5 d. ÷ 5 1 6

73. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 = 30 * = 5 d. ÷ 5 1 6

74. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 = 30 * = 5 d. ÷ 5 1 6 Example E: We have ¾ cups of sugar. A cookie recipe calls for 1/16 cup of sugar for each cookie. How many cookies can we make?

75. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 = 30 * = 5 d. ÷ 5 1 6 Example E: We have ¾ cups of sugar. A cookie recipe calls for 1/16 cup of sugar for each cookie. How many cookies can we make? 3 1 ÷ We can make 4 16

76. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 = 30 * = 5 d. ÷ 5 1 6 Example E: We have ¾ cups of sugar. A cookie recipe calls for 1/16 cup of sugar for each cookie. How many cookies can we make? 3 1 3 16 ÷ = We can make * 4 16 4 1

77. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 = 30 * = 5 d. ÷ 5 1 6 Example E: We have ¾ cups of sugar. A cookie recipe calls for 1/16 cup of sugar for each cookie. How many cookies can we make? 4 3 1 3 16 ÷ = We can make * 4 16 4 1

78. Reciprocal and Division of Fractions Example D: Divide the following fractions. 3 3 15 12 8 12 9 = * = a. ÷ 8 25 15 25 10 5 2 3 1 9 3 9 6 ÷ = * = b. 8 8 6 16 2 6 1 = 30 * = 5 d. ÷ 5 1 6 Example E: We have ¾ cups of sugar. A cookie recipe calls for 1/16 cup of sugar for each cookie. How many cookies can we make? 4 3 1 3 16 ÷ = = 3 * 4 = 12 cookies. We can make * 4 16 4 1 HW: Do the web homework "Multiplication of Fractions"