Math 6 (for download viewing only due to different display and animation settings)

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Mathematics Lowest Term GCF LCM Equivalent Fraction Comparing Fraction Convert Mixed Fraction to Improper Fraction Teacher Eddie – Grade 6

Transcript of Math 6 (for download viewing only due to different display and animation settings)

Page 1: Math 6 (for download viewing only due to different display and animation  settings)

Mathematics Lowest Term GCF LCM Equivalent Fraction Comparing Fraction Convert Mixed Fraction to Improper Fraction

Teacher Eddie – Grade 6

Page 2: Math 6 (for download viewing only due to different display and animation  settings)

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Prime Numbers and Composite Numbers = 1 -100

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1.) 48___ 144

÷

48 48

1 3

=

48 : 2 x 2 x 2 x 2 x 3 144: 2 x 2 x 2 x 2 x 3 x 3GCF: 2 x 2 x 2 x 2 x 3 = 48LCM: 2 x 2 x 2 x 2 x 3 x 3 = 144

LOWEST TERM

÷

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2.) 120____ 48

÷

24 24

5 or 2

=

48 : 2 x 2 x 2 x 3 x 2 120: 2 x 2 x 2 x 3 x 5

GCF: 2 x 2 x 2 x 3 = 24

3 2

1

÷

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3.) 168__ 504

÷ 168 168

1 3

=

504: 2 x 2 x 2 x 3 x 7 x 3 168: 2 x 2 x 2 x 3 x 7

GCF: 2 x 2 x 2 x 3 x 7 = 168

÷

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4.) 264__ 704

÷ 88 88

3 8

=

704: 2x2x2 x11x2x2x2 264: 2x2x2x3x11

GCF: 2x2x2 x11 = 88

÷

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5.) 102__ 255

÷

51 51

2 5

=

255: 3 x 17 x 5 102: 2 x 3 x 17

GCF: 3 x 17 = 51

÷

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6.) 99___ 111

÷

3 3

33 37

=

111: 3 x 37 99: 3 x 3 x 11

GCF: 3 = 3

÷

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7.) 104___ 221

÷ 13 13

8 17

=

221: x 13 x 17 104: 2 x 2 x 2 x 13

GCF: 13 = 13

÷

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8.)560____ 512

÷

16 16

35

32

=

512 :2x2x2x2 x2x2x2x2x2 560 :2x2x2x2x7x5

GCF:2x2x2x2 = 16

÷

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9.)846____ 648

÷ 18 18

47

36

=

648 :2x2x2x3x3 x3x3 846 :2 x3x3x47

GCF:2 x3x3 = 18

÷

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10.) 7_____ 23

÷

1 1

7 23

=

23 : 23 7 : 7

GCF: = 1

÷

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10.) 7 23

14 46

2892

=

=

x2 x2

x2 x2

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11.) 19____ 17

÷ 1 1

19 17

=

17 : 17 19 : 19

GCF: 1 = 1

1

or 2 17

÷

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11.) 19 17

38 34

7668

=

=

x2 x2

x2 x2

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12.) 27____ 29

÷ 1 1

27

29

=

29 : 29 27 : 3 x 3 x 3

GCF: = 1

÷

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12.) 27 29

54 58

108116

=

=

x2 x2

x2 x2

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13.) 41_____ 37

÷ 1 1

41 37

=

37 : 37 41 : 41

GCF: = 1

or 14 37

1

÷

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13.) 41 37

82 74

164148

=

=

x2 x2

x2 x2

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14.) 29____ 19

÷

1 1

29 19

=

19 : 1 x 19 29 : 1 x 29

GCF: 1 = 1

or 10 19

1

÷

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14.) 29 19

58 38

116 76

=

=

x2 x2

x2 x2

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15.) 23____ 46

÷

1 1

23 46

=

46 : 2x2x3x3 23 :23

GCF: = 1

÷

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15.) 23 46

46 92

92184

=

=

x2 x2

x2 x2

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>, <, =

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16.) 11 7

11 6

66 77

<

<

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17.) 13 6

91

78 >

> 13 7

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18.) 15 16

14 15

225

224 >

> 14 15

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19.) 21 30

189 270

5670 5670

=

=

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20.) 32 33

33 34

1088 1089

<

<

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21.) 56 112

53 106

5936 5936

=

=

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22.) 31 32

21 23

1

1

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22.) 31 32

1

1 x 32 = 32

32 + 31 = 63

Convert Mixed Fraction to Improper Fraction

63 will become our new numerator

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22.) 31 32

1 =

32 + 31 = 63

6332

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22.) 63 32

21 23

1

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22.) 21 23

1

1 x 23 = 23

23 + 21 = 44

Convert Mixed Fraction to Improper Fraction

44 will become our new numerator

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22.) 21 23

1 =

23 + 21 = 44

4423

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22.) 63 32

44 23

1449 1408

>

>

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22.) 31 32

21 23

1

1

>

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23.) 7 8

49 50

4

4

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23.) 7 8

4

4 x 8 = 32

32 + 7 = 39

Convert Mixed Fraction to Improper Fraction

39 will become our new numerator

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23.) 7 8

4 =

32 + 7 = 39

39 8

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23.) 39 8

49 50

4

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23.) 49 50

4

4 x 50 = 200

200+49 = 249

Convert Mixed Fraction to Improper Fraction

249 will become our new numerator

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23.) 49 50

4 =

200 + 49 = 249

249 50

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23.) 39 8

249 50

1950 1992

<

<

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Simplify Each Fraction.

Express the Improper Fraction

as a Mixed Number

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1.) 154 189

= 154 7 = 22 189 7 27

189 : 7x x3x3x3 154 :2x7x11

GCF: 7 = 7

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2.) 117 180

=117 9 = 13 180 9 20

GCF:3x3 = 9180 :3x3 x2x2x5 117 :3x3x13

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3.) 4 3

= 4 3 =

1 3 4

3 1

1 mixed number3

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3.) 4 3

= 4 3 = 4 x 3 = 12 = 3 3 3 3 9 =

1 9 12

9 3

3 3 = 19 3 3

1 13

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4.) 225 288

=225 9 = 25 288 9 32

225 :3x3x5x5 288 :3x3 x2x2x2x2x2 GCF:3x3 = 9

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5.) 264 336

= 264 24 = 11 336 24 14

264 :2x2x2x3x11 336 :2x2x2x3 x2x7 GCF:2x2x2x3 = 24

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6.) 156 130

= 156 26 = 6 = 1 130 26 5 5

1

156 :2 x 2 x 3 x 13 130 :2 x 13 x 5 GCF:2 x13 = 26

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7.) 170 136

= 170 34 = 5 = 1 136 34 4 4

1

170 :2 x 5 x 17 136 :2 x 17 x 2 x 2 GCF:2 x17 = 34

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8.) 152 128

= 152 8 = 19 = 3 128 8 16 16

1

152 :2x2x2x19 128 :2x2x2 x2x2x2x2 GCF:2x2x2 = 8

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9.) 264 112

= 264 8 = 33 = 5 112 8 14 14

2

264 :2x2x2x3x11 112 :2x2x2 x2x7 GCF:2x2x2 = 8

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10.) 504 576

= 504 72 = 7 576 72 8

504 :2x2x2x3x3x7

GCF:2x2x2x3x3 = 72576 :2x2x2x3x3 x2x2x2

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11.) 276 368

= 276 92 = 3 368 92 4

276 :2 x 2 x 3 x 23

GCF:2 x 2 x 23 = 92368 :2 x 2 x 23 x 2 x 2

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12.) 192 648

= 192 24 = 8 648 24 27

192 :2x2x2x2x2x2x3

GCF:2x2x2 x3 = 24648 :2x2x2 x3x3x3x3

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13.) 392 504

= 392 56 = 7 504 56 9

392 :2 x 2 x 2 x 7 x 7 504 :2 x 2 x 2 x 7 x 3 x 3 GCF:2 x 2 x 2 x 7 = 56

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14.) 252 672

= 252 84 = 3 672 84 8

252 :2 x 2 x 3 x 3 x 7 672 :2 x 2 x 3 x 7 x2x2x2 GCF:2 x 2 x 3 x 7 = 84

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15.) 616 528

= 616 88 = 7 528 88 6

Or 1

16

616 :2x2x2x 7 x 11 528 :2x2x2 x 11 x 2 x 3 GCF:2x2x2 x 11 = 88