Post on 11-Apr-2017
transcript
Mathematics Lowest Term GCF LCM Equivalent Fraction Comparing Fraction Convert Mixed Fraction to Improper Fraction
Teacher Eddie – Grade 6
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
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
÷
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
÷
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
÷
4.) 264__ 704
÷ 88 88
3 8
=
704: 2x2x2 x11x2x2x2 264: 2x2x2x3x11
GCF: 2x2x2 x11 = 88
÷
5.) 102__ 255
÷
51 51
2 5
=
255: 3 x 17 x 5 102: 2 x 3 x 17
GCF: 3 x 17 = 51
÷
6.) 99___ 111
÷
3 3
33 37
=
111: 3 x 37 99: 3 x 3 x 11
GCF: 3 = 3
÷
7.) 104___ 221
÷ 13 13
8 17
=
221: x 13 x 17 104: 2 x 2 x 2 x 13
GCF: 13 = 13
÷
8.)560____ 512
÷
16 16
35
32
=
512 :2x2x2x2 x2x2x2x2x2 560 :2x2x2x2x7x5
GCF:2x2x2x2 = 16
÷
9.)846____ 648
÷ 18 18
47
36
=
648 :2x2x2x3x3 x3x3 846 :2 x3x3x47
GCF:2 x3x3 = 18
÷
10.) 7_____ 23
÷
1 1
7 23
=
23 : 23 7 : 7
GCF: = 1
÷
10.) 7 23
14 46
2892
=
=
x2 x2
x2 x2
11.) 19____ 17
÷ 1 1
19 17
=
17 : 17 19 : 19
GCF: 1 = 1
1
or 2 17
÷
11.) 19 17
38 34
7668
=
=
x2 x2
x2 x2
12.) 27____ 29
÷ 1 1
27
29
=
29 : 29 27 : 3 x 3 x 3
GCF: = 1
÷
12.) 27 29
54 58
108116
=
=
x2 x2
x2 x2
13.) 41_____ 37
÷ 1 1
41 37
=
37 : 37 41 : 41
GCF: = 1
or 14 37
1
÷
13.) 41 37
82 74
164148
=
=
x2 x2
x2 x2
14.) 29____ 19
÷
1 1
29 19
=
19 : 1 x 19 29 : 1 x 29
GCF: 1 = 1
or 10 19
1
÷
14.) 29 19
58 38
116 76
=
=
x2 x2
x2 x2
15.) 23____ 46
÷
1 1
23 46
=
46 : 2x2x3x3 23 :23
GCF: = 1
÷
15.) 23 46
46 92
92184
=
=
x2 x2
x2 x2
>, <, =
16.) 11 7
11 6
66 77
<
<
17.) 13 6
91
78 >
> 13 7
18.) 15 16
14 15
225
224 >
> 14 15
19.) 21 30
189 270
5670 5670
=
=
20.) 32 33
33 34
1088 1089
<
<
21.) 56 112
53 106
5936 5936
=
=
22.) 31 32
21 23
1
1
22.) 31 32
1
1 x 32 = 32
32 + 31 = 63
Convert Mixed Fraction to Improper Fraction
63 will become our new numerator
22.) 31 32
1 =
32 + 31 = 63
6332
22.) 63 32
21 23
1
22.) 21 23
1
1 x 23 = 23
23 + 21 = 44
Convert Mixed Fraction to Improper Fraction
44 will become our new numerator
22.) 21 23
1 =
23 + 21 = 44
4423
22.) 63 32
44 23
1449 1408
>
>
22.) 31 32
21 23
1
1
>
23.) 7 8
49 50
4
4
23.) 7 8
4
4 x 8 = 32
32 + 7 = 39
Convert Mixed Fraction to Improper Fraction
39 will become our new numerator
23.) 7 8
4 =
32 + 7 = 39
39 8
23.) 39 8
49 50
4
23.) 49 50
4
4 x 50 = 200
200+49 = 249
Convert Mixed Fraction to Improper Fraction
249 will become our new numerator
23.) 49 50
4 =
200 + 49 = 249
249 50
23.) 39 8
249 50
1950 1992
<
<
Simplify Each Fraction.
Express the Improper Fraction
as a Mixed Number
1.) 154 189
= 154 7 = 22 189 7 27
189 : 7x x3x3x3 154 :2x7x11
GCF: 7 = 7
2.) 117 180
=117 9 = 13 180 9 20
GCF:3x3 = 9180 :3x3 x2x2x5 117 :3x3x13
3.) 4 3
= 4 3 =
1 3 4
3 1
1 mixed number3
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
4.) 225 288
=225 9 = 25 288 9 32
225 :3x3x5x5 288 :3x3 x2x2x2x2x2 GCF:3x3 = 9
5.) 264 336
= 264 24 = 11 336 24 14
264 :2x2x2x3x11 336 :2x2x2x3 x2x7 GCF:2x2x2x3 = 24
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
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
8.) 152 128
= 152 8 = 19 = 3 128 8 16 16
1
152 :2x2x2x19 128 :2x2x2 x2x2x2x2 GCF:2x2x2 = 8
9.) 264 112
= 264 8 = 33 = 5 112 8 14 14
2
264 :2x2x2x3x11 112 :2x2x2 x2x7 GCF:2x2x2 = 8
10.) 504 576
= 504 72 = 7 576 72 8
504 :2x2x2x3x3x7
GCF:2x2x2x3x3 = 72576 :2x2x2x3x3 x2x2x2
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
12.) 192 648
= 192 24 = 8 648 24 27
192 :2x2x2x2x2x2x3
GCF:2x2x2 x3 = 24648 :2x2x2 x3x3x3x3
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
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
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