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# 7-12 Compare/Order Fractions & Mixed #s

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• 0.05, 0.5, 0.53
1.07, 1.7, 1.77
0.12, 0.21, 0.22
• 0.05, 0.5, 0.53
1.07, 1.7, 1.77
0.12, 0.21, 0.22
• 0.05, 0.5, 0.53
1.07, 1.7, 1.77
0.12, 0.21, 0.22
• 0.05, 0.5, 0.53
1.07, 1.7, 1.77
0.12, 0.21, 0.22
• 0.05, 0.5, 0.53
1.07, 1.7, 1.77
0.12, 0.21, 0.22
• ### 7-12 Compare/Order Fractions & Mixed #s

1. 1. Comparing and Ordering Fractions and Mixed Number Lesson 7-12
2. 2. Review
3. 3. Review Order the numbers from least to greatest.
4. 4. Review Order the numbers from least to greatest. 1. 0.5, 0.53, 0.05
5. 5. Review Order the numbers from least to greatest. 1. 0.5, 0.53, 0.05 2.1.7, 1.07, 1.77
6. 6. Review Order the numbers from least to greatest. 1. 0.5, 0.53, 0.05 2.1.7, 1.07, 1.77 3.2.96, 3, 2.99
7. 7. Review Order the numbers from least to greatest. 1. 0.5, 0.53, 0.05 2.1.7, 1.07, 1.77 3.2.96, 3, 2.99 Hint: Line up the decimals
8. 8. Review Find the LCM of 4 and 8.
9. 9. Review Find the LCM of 4 and 8. 4:
10. 10. Review Find the LCM of 4 and 8. 4: 8:
11. 11. Review Find the LCM of 4 and 8. 4: 4, 8, 12, 16, 20 8:
12. 12. Review Find the LCM of 4 and 8. 4: 4, 8, 12, 16, 20 8: 8, 16, 24, 32, 40
13. 13. Review Find the LCM of 4 and 8. 4: 4, 8, 12, 16, 20 8: 8, 16, 24, 32, 40
14. 14. Review Find the LCM of 4 and 8. 4: 4, 8, 12, 16, 20 8: 8, 16, 24, 32, 40
15. 15. Review Find the LCM of 4 and 8. 4: 4, 8, 12, 16, 20 8: 8, 16, 24, 32, 40 Which is the least of 8 and 16?
16. 16. Review Find the LCM of 4 and 8. 4: 4, 8, 12, 16, 20 8: 8, 16, 24, 32, 40 Which is the least of 8 and 16? LCM is 8
17. 17. When working with fractions...
18. 18. When working with fractions... The LCM becomes the LCD
19. 19. When working with fractions... The LCM becomes the LCD LCD means Least Common Denominator
20. 20. Which is greater?
21. 21. Which is greater? 1 3 8
22. 22. Which is greater? 13 82 1 5
23. 23. Which is greater? 1 2 3 8 1 5 Check the whole number ﬁrst. The mixed number with the larger whole number is GREATER.
24. 24. Which is greater? 1 2 3 8 1 5 Check the whole number ﬁrst. The mixed number with the larger whole number is GREATER.
25. 25. Which is greater?
26. 26. Which is greater? 25 8
27. 27. Which is greater? 2 2 5 8 3 4
28. 28. Which is greater? 2 2 5 8 3 4 If the whole numbers are the SAME, you must compare the fractions.
29. 29. Which is greater? 2 2 5 8 3 4 If the whole numbers are the SAME, you must compare the fractions. BUT the denominator are different.
30. 30. Which is greater? 2 2 5 8 3 4 If the whole numbers are the SAME, you must compare the fractions. BUT the denominator are different. You must use LCM to ﬁnd the LCD.
31. 31. Which is greater? 2 2 5 8 3 4
32. 32. Which is greater? 5 3 8 4
33. 33. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4
34. 34. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8:
35. 35. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8: 4:
36. 36. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8: 8, 16, 24, 32, 40 4:
37. 37. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8: 8, 16, 24, 32, 40 4: 4, 8, 12, 16, 20
38. 38. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8: 8, 16, 24, 32, 40 4: 4, 8, 12, 16, 20
39. 39. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8: 8, 16, 24, 32, 40 4: 4, 8, 12, 16, 20
40. 40. Which is greater? 5 3 8 4 STEP ONE: Find the LCM of the denominators 8 and 4 8: 8, 16, 24, 32, 40 LCM = 8 4: 4, 8, 12, 16, 20
41. 41. Which is greater? 2 2 5 8 3 4
42. 42. Which is greater? 5 3 8 4
43. 43. Which is greater? 5 8 3 4
44. 44. Which is greater? 5 STEP TWO: Set up NEW DENOMINATORS 8 using the LCD (The LCM from Step One). 3 4
45. 45. Which is greater? 5 STEP TWO: Set up = NEW DENOMINATORS 8 using the LCD (The LCM from Step One). 3= 4
46. 46. Which is greater? 5 STEP TWO: Set up = NEW DENOMINATORS 8 8 using the LCD (The LCM from Step One). 3= 4 8
47. 47. Which is greater? 5 STEP TWO: Set up = NEW DENOMINATORS 8 8 using the LCD (The LCM from Step One). 3= STEP THREE: Find the equivalent fractions 4 8 using “The Rule”
48. 48. Which is greater? 5 x1 STEP TWO: Set up = NEW DENOMINATORS 8 x1 8 using the LCD (The LCM from Step One). 3= STEP THREE: Find the equivalent fractions 4 8 using “The Rule”
49. 49. Which is greater? 5 x1 5 STEP TWO: Set up = NEW DENOMINATORS 8 x1 8 using the LCD (The LCM from Step One). 3= STEP THREE: Find the equivalent fractions 4 8 using “The Rule”
50. 50. Which is greater? 5 x1 5 STEP TWO: Set up = NEW DENOMINATORS 8 x1 8 using the LCD (The LCM from Step One). 3 x2 = STEP THREE: Find the equivalent fractions 4 x2 8 using “The Rule”
51. 51. Which is greater? 5 x1 5 STEP TWO: Set up = NEW DENOMINATORS 8 x1 8 using the LCD (The LCM from Step One). 3 x2 6 = STEP THREE: Find the equivalent fractions 4 x2 8 using “The Rule”
52. 52. Which is greater? 5 8 6 8
53. 53. Which is greater? 5 Don’t forget about the whole 8 numbers. 6 8
54. 54. Which is greater? 2 5 8 Don’t forget about the whole numbers. 2 6 8
55. 55. Which is greater? 2 5 8 Don’t forget about the whole numbers. 2 With the new 6 equivalent fractions, which 8 is larger?
56. 56. Which is greater? 2 5 8 Don’t forget about the whole numbers. 2 With the new 6 equivalent fractions, which 8 is larger?
57. 57. Order the distances from least to greatest 2 2 2 5 8 1 2 3 4
58. 58. Order the distances from least to greatest 5 1 3 8 2 4
59. 59. Order the distances from least to greatest 5 8 1 2 3 4
60. 60. Order the distances from least to greatest 5 The LCM of 8,2,4 is 8. So the LCD is 8 8 1 2 3 4
61. 61. Order the distances from least to greatest 5 = The LCM of 8,2,4 is 8. So the LCD is 8 8 1 = 2 3 = 4
62. 62. Order the distances from least to greatest 5 = The LCM of 8,2,4 is 8. So the LCD is 8 8 8 1 = 2 8 3 = 4 8
63. 63. Order the distances from least to greatest 5 = The LCM of 8,2,4 is 8. So the LCD is 8 8 8 1 = Find equivalent fractions 2 8 using “The Rule” 3 = 4 8
64. 64. Order the distances from least to greatest 5 = 5 The LCM of 8,2,4 is 8. So the LCD is 8 8 8 1 4 = Find equivalent fractions 2 8 using “The Rule” 3 = 6 4 8
65. 65. Order the distances from least to greatest 5 = 5 The LCM of 8,2,4 is 8. So the LCD is 8 8 8 1 4 = Find equivalent fractions 2 8 using “The Rule” 3 = 6 Determine which is 4 8 least to greatest
66. 66. Order the distances from least to greatest 5 8 4 8 6 Determine which is 8 least to greatest
67. 67. Order the distances from least to greatest 5 8 4 8 6 Determine which is 8 least to greatest
68. 68. Order the distances from least to greatest 4 5 8 8 6 Determine which is 8 least to greatest
69. 69. Order the distances from least to greatest 4 5 6 8 8 8 Determine which is least to greatest
70. 70. Order the distances from least to greatest Don’t forget the whole numbers 4 5 6 8 8 8 Determine which is least to greatest
71. 71. Order the distances from least to greatest Don’t forget the whole numbers 2 2 2 4 8 5 8 6 8 Determine which is least to greatest
72. 72. Compare. Write > < =.
73. 73. Compare. Write > < =. 2 3 3 7
74. 74. Compare. Write > < =. 2 3 Denominators are different 3 7
75. 75. Compare. Write > < =. 2 3 Denominators are different 3 7 Find the LCM Find equivalent fractions using LCD (LCM).
76. 76. Compare. Write > < =. 2 3 Denominators are different 3 7 Find the LCM Find equivalent 3: 3, 6, 9, 12, 15, 18, 21 fractions using LCD (LCM).
77. 77. Compare. Write > < =. 2 3 Denominators are different 3 7 Find the LCM Find equivalent 3: 3, 6, 9, 12, 15, 18, 21 fractions using LCD 7: 7, 14, 21, 28, 35 (LCM).
78. 78. Compare. Write > < =. 2 3 Denominators are different 3 7 Find the LCM Find equivalent 3: 3, 6, 9, 12, 15, 18, 21 fractions using LCD 7: 7, 14, 21, 28, 35 (LCM).
79. 79. Compare. Write > < =. 2 3 Denominators are different 3 7 Find the LCM Find equivalent 3: 3, 6, 9, 12, 15, 18, 21 fractions using LCD 7: 7, 14, 21, 28, 35 (LCM). LCM = 21
80. 80. 2 3
81. 81. 2 3 3 7
82. 82. 2 LCM = 21 3 3 7
83. 83. 2 LCM = 21 3 Set up for equivalent 3 fractions 7
84. 84. 2 LCM = 21 = 3 Set up for equivalent 3 fractions = 7
85. 85. 2 LCM = 21 = 3 21 Set up for equivalent 3 fractions = 7 21
86. 86. 2 LCM = 21 = 3 21 Set up for equivalent 3 fractions = 7 21 Apply the rule
87. 87. 2 14 LCM = 21 = 3 21 Set up for equivalent 3 fractions = 7 21 Apply the rule
88. 88. 2 14 LCM = 21 = 3 21 Set up for equivalent 3 9 fractions = 7 21 Apply the rule
89. 89. 2 3 3 7
90. 90. 2 3 3 7 14 9 21 21
91. 91. 2 3 3 7 14 21 > 9 21