1. 5 Minute Check Complete on the back of your homework. 1 1. 3 x 12 3 2. 7 x 8 5 3. 6 x 15 2 4. 5 x 11

2. 5 Minute Check Complete on the back of your homework. 1 1. 3 x 12

3. 5 Minute Check Complete on the back of your homework. 1 1. 3 x 12 1 12 12 3 x 1 = 3 = 4

4. 5 Minute Check Complete on the back of your homework. 3 2. 7 x 8

5. 5 Minute Check Complete on the back of your homework. 3 2. 7 x 8 3 8 24 3 7 x 1 = 7 = 3 7

6. 5 Minute Check Complete on the back of your homework. 5 3. 6 x 15

7. 5 Minute Check Complete on the back of your homework. 5 3. 6 x 15 5 15 75 1 6 x 1 = 6 = 12 2

8. 5 Minute Check Complete on the back of your homework. 2 4. 5 x 11

9. 5 Minute Check Complete on the back of your homework. 2 4. 5 x 11 2 11 22 2 5 x 1 = 5 = 4 5

10. Friday, Oct 3 Lesson 6.4.3 Multiply Fractions

11. Objective: To understand how to estimate and multiply fractions.

12. Multiply Fractions To multiply fractions, multiply the numerators and multiply the denominators, then simplify if needed. Example x = 3 2 6 3 4 x 5 = 20 = 10 x =

13. Multiply Fractions When multiplying a fraction by a fraction, an estimate can be determined using a comparable number for the fractions.

14. Multiply Fractions When multiplying a fraction by a fraction, an estimate can be determined using a comparable number for the fractions. If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number.

15. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 4 What is the comparable number for 7 ?

16. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 4 What is the comparable number for 7 ? First, what is half the denominator?

17. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 4 What is the comparable number for 7 ? First, what is half the denominator? 3 ½

18. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 4 What is the comparable number for 7 ? First, what is half the denominator? 3 ½ Is the numerator closer to 0, 3 ½ or 7?

19. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 4 What is the comparable number for 7 ? First, what is half the denominator? 3 ½ Is the numerator closer to 0, 3 ½ or 7? 3 ½ Which means the comparable number is ½.

20. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 2 What is the comparable number for 9 ? First, what is half the denominator?

21. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 2 What is the comparable number for 9 ? First, what is half the denominator? 4 ½ Is the numerator closer to 0, 4 ½ or 9?

22. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 2 What is the comparable number for 9 ? First, what is half the denominator? 4 ½ Is the numerator closer to 0, 4 ½ or 9? 4 ½ Which means the comparable number is 0.

23. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 5 What is the comparable number for 12 ?

24. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 5 What is the comparable number for 12 ? ½

25. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 13 What is the comparable number for 15 ?

26. Multiply Fractions If a fraction is less than 1, we can use 0, ½ or 1 as a comparable number. 13 What is the comparable number for 15 ? 1

27. Multiply Fractions When estimating the product of two fractions, round each fraction to 0, ½ or 1 and then multiply. All possible answers include: 0 x 0 = 0 0 x ½ = 0 0 x 1 = 0 ½ x ½ = ¼ ½ x 1 = ½ 1 x 1 = 1

28. Multiply Fractions Can either be estimated up or down 0 ¼ ½ ¾ 1 0 ½ 1

29. Multiply Fractions Estimate and Multiply. 1 3 x 4 Estimate?

30. Multiply Fractions Estimate and Multiply. 1 3 x 4 1 2 x 0 = 0 Actual Product?

31. Multiply Fractions Estimate and Multiply. 1 3 x 4 ≈ 0 Actual Product? 1 1 1 3 x 4 = 12 Is this a reasonable answer?

32. Multiply Fractions Estimate and Multiply. 1 3 x 4 ≈ 0 Actual Product? 1 1 1 3 x 4 = 12 Is this a reasonable answer? Yes

33. Multiply Fractions and Whole Numbers Estimate and Multiply. 1 3 x 4 We can also use models to represent this problem.

34. Multiply Fractions and Whole Numbers Estimate and Multiply. 1 3 x 4 Divide a rectangle into 3 columns and 4 rows. Then shade section that is ¼ wide by 1/3 long. That represents 1/12 of the total.

35. Multiply Fractions Estimate and Multiply. 2 5 3 x 6 Do this on your own.

36. Multiply Fractions Estimate and Multiply. 2 5 3 x 6 Estimate?

37. MuMultiply Fractions Estimate and Multiply. 2 5 3 x 6 = 1 2 x 1 = 2 Actual Product?

38. Multiply Fractions Estimate and Multiply. 2 5 1 3 x 6 ≈ 2 Actual Product? 2 5 10 5 3 x 2 = 18 = 9 Is this a reasonable answer?

39. Multiply Fractions Estimate and Multiply. 2 5 1 3 x 6 ≈ 2 Actual Product? 2 5 10 5 3 x 6 = 18 = 9 5 1 Is this a reasonable answer? 9 ≈ 2

40. Multiply Fractions Estimate and Multiply. 2 5 1 3 x 6 ≈ 2 2 5 10 5 3 x 6 = 18 = 9

41. Multiply Fractions Estimate and Multiply. 1 8 x 2

42. Multiply Fractions Estimate and Multiply. 1 8 x 2 ≈ 0 1 1 1 8 x 2 = 16

43. Multiply Fractions Estimate and Multiply. 3 5 10 x 6

44. Multiply Fractions Estimate and Multiply. 3 5 1 10 x 6 ≈ 2 3 5 1 2 x 5 x 2 x 3 = 4

45. Multiply Fractions Estimate and Multiply. 4 3 9 x 8

46. Multiply Fractions Estimate and Multiply. 4 3 1 9 x 8 ≈ 4 2 x 2 3 1 3 x 3 x 2 x 2 x 2 = 6

47. Multiply Fractions Estimate and Multiply. 4 9 x 18 Do this on your own. From yesterday’s lesson.

48. Multiply Fractions Estimate and Multiply. 4 9 x 18 ≈ 9 4 2x3x3 8 3x3 x 1 = 1 =8

49. Multiply Fractions Estimate and Multiply. 3 5 x 10 = Do this on your own.

50. Multiply Fractions Estimate and Multiply. 3 5 x 10 ≈ 5 3 2 x 5 6 5 x 1 = 1 = 6

51. Multiply Fractions Estimate and Multiply. 4 7 x 15

52. Multiply Fractions Estimate and Multiply. 4 7 x 15 ≈ 8 4 15 60 4 7 x 1 = 7 = 8 7

53. Multiply Fractions Estimate and Multiply. 1 1 1 3 x 4 x 5

54. Multiply Fractions Estimate and Multiply. 1 1 1 3 x 4 x 5 ≈ 0 1 1 1 1 3 x 4 x 5 = 60

55. Multiply Fractions Frank had ½ of the lawn left to mow. On Saturday he mowed 2/3 of what was left. What fraction of the lawn did he mow on Saturday? Do this on your own.

56. Multiply Fractions Frank had ½ of the lawn left to mow. On Saturday he mowed 2/3 of what was left. What fraction of the lawn did he mow on Saturday? 1 2 1 2 x 3 = 3 To find the percentage or fraction of any number, multiply the number by the percentage (decimal equivalent) or fraction.

57. Multiply Fractions A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs $22, what is the total cost of the indoor paint in storage? Do this on your own.

58. Multiply Fractions A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs $22, what is the total cost of the indoor paint in storage? There is a couple of different ways to solve this problem. If 2/5 is outdoor paint, what fraction is indoor paint?

59. Multiply Fractions A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs $22, what is the total cost of the indoor paint in storage? If 2/5 is outdoor paint, what fraction is indoor paint? 3/5 What is 3/5 of 35 gallons?

60. Multiply Fractions A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs $22, what is the total cost of the indoor paint in storage? What is 3/5 of 35 gallons? 3 5x7 21 5 x 1 = 1 = 21 What is the cost of 21 gallons?

61. Multiply Fractions A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs $22, what is the total cost of the indoor paint in storage? What is the cost of 21 gallons? 21 x $22 = $462

62. Multiply Fractions True or False. The product of two fractions between 0 and 1 is also between 0 and 1.

63. Multiply Fractions True or False. The product of two fractions between 0 and 1 is also between 0 and 1. True

64. Multiply Fractions True or False. The product of a mixed number between 4 and 5 and a fraction between 0 and 1 is less than 4.

65. Multiply Fractions True or False. The product of a mixed number between 4 and 5 and a fraction between 0 and 1 is less than 4. 9 9 81 False; 4 10 x 10 = 4 100

66. Multiply Fractions True or False. The product of two mixed number between 4 and 5 is between 4 and 5.

67. Multiply Fractions True or False. The product of two mixed number between 4 and 5 is between 4 and 5. True

68. Multiply Fractions Agenda Notes No Homework Homework Practice 6.4.3 Show all work. Bring to my desk when complete. Mid-Chapter 6.4 Quiz Wednesday, Oct 8