This document contains mathematics problems involving lowest term, greatest common factor (GCF), least common multiple (LCM), equivalent fractions, comparing fractions, and converting mixed fractions to improper fractions. It provides 15 example problems worked out step-by-step with the GCF and LCM shown for each. The problems cover topics typically taught in 6th grade mathematics.

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

2. 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

3. 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 3
GCF: 2 x 2 x 2 x 2 x 3 = 48
LCM: 2 x 2 x 2 x 2 x 3 x 3 = 144
LOWEST TERM
÷

4. 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
21
÷

5. 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
÷

6. 4.) 264__
704
÷ 88
88
3
8=
704: 2x2x2 x11x2x2x2
264: 2x2x2x3x11
GCF: 2x2x2 x11 = 88
÷

7. 5.) 102__
255 ÷
51
51
2
5
=
255: 3 x 17 x 5
102: 2 x 3 x 17
GCF: 3 x 17 = 51
÷

8. 6.) 99___
111
÷ 3
3
33
37
=
111: 3 x 37
99: 3 x 3 x 11
GCF: 3 = 3
÷

9. 7.) 104___
221
÷ 13
13
8
17
=
221: x 13 x 17
104: 2 x 2 x 2 x 13
GCF: 13 = 13
÷

10. 8.)560____
512
÷
16
16
35
32
=
512 :2x2x2x2 x2x2x2x2x2
560 :2x2x2x2x7x5
GCF:2x2x2x2 = 16
÷

11. 9.)846____
648 ÷
18
18
47
36=
648 :2x2x2x3x3 x3x3
846 :2 x3x3x47
GCF:2 x3x3 = 18
÷

12. 10.) 7_____
23
÷ 1
1
7
23=
23 : 23
7 : 7
GCF: = 1
÷

13. 10.) 7
23
14
46
28
92= =
x2 x2
x2 x2

14. 11.) 19____
17 ÷
1
1
19
17=
17 : 17
19 : 19
GCF: 1 = 1
1
or 2
17
÷

15. 11.) 19
17
38
34
76
68= =
x2 x2
x2 x2

16. 12.) 27____
29 ÷
1
1
27
29=
29 : 29
27 : 3 x 3 x 3
GCF: = 1
÷

17. 12.) 27
29
54
58
108
116= =
x2 x2
x2 x2

18. 13.) 41_____
37 ÷
1
1
41
37
=
37 : 37
41 : 41
GCF: = 1
or 14
371
÷

19. 13.) 41
37
82
74
164
148= =
x2 x2
x2 x2

20. 14.) 29____
19
÷
1
1
29
19
=
19 : 1 x 19
29 : 1 x 29
GCF: 1 = 1
or 10
191
÷

21. 14.) 29
19
58
38
116
76= =
x2 x2
x2 x2

22. 15.) 23____
46
÷
1
1
23
46=
46 : 2x2x3x3
23 :23
GCF: = 1
÷

23. 15.) 23
46
46
92 92
184
= =
x2 x2
x2 x2

24. >, <, =

25. 16.) 11
7
11
6
6666 7777
<<
<<

26. 17.) 13
6
9191 7878
>>
>>
13
7

27. 18.) 15
16
14
15
225225 224224
>>
>>
14
15

28. 19.) 21
30
189
270
56705670 56705670==
==

29. 20.) 32
33
33
34
10881088 10891089<<
<<

30. 21.) 56
112
53
106
59365936 59365936==
==

31. 22.) 31
32
21
23
11

32. 22.) 31
32
1
1 x 32 = 32
32 + 31 = 63
Convert Mixed Fraction to Improper Fraction
63 will become our new numerator

33. 22.) 31
32
1 =
32 + 31 = 63
63
32

34. 22.) 63
32
21
23
1

35. 22.) 21
23
1
1 x 23 = 23
23 + 21 = 44
Convert Mixed Fraction to Improper Fraction
44 will become our new numerator

36. 22.) 21
23
1 =
23 + 21 = 44
44
23

37. 22.) 63
32
44
23
14491449 14081408>>
>>

38. 22.) 31
32
21
23
11 >>

39. 23.) 7
8
49
50
44

40. 23.) 7
8
4
4 x 8 = 32
32 + 7 = 39
Convert Mixed Fraction to Improper Fraction
39 will become our new numerator

41. 23.) 7
8
4 =
32 + 7 = 39
39
8

42. 23.) 39
8
49
50
4

43. 23.) 49
50
4
4 x 50 = 200
200+49 = 249
Convert Mixed Fraction to Improper Fraction
249 will become our new numerator

44. 23.) 49
50
4 =
200 + 49 = 249
249
50

45. 23.) 39
8
249
50
19501950 19921992<<
<<

46. Simplify Each
Fraction.
Express the
Improper Fraction
as a Mixed Number

47. 1.) 154
189
= 154 7 = 22
189 7 27
189 : 7x x3x3x3
154 :2x7x11
GCF: 7 = 7

48. 2.) 117
180
=117 9 = 13
180 9 20
GCF:3x3 = 9
180 :3x3 x2x2x5
117 :3x3x13

49. 3.) 4
3
= 4 3 =
1
3 4
3
1
1 mixed number
3

50. 3.) 4
3
= 4 3 = 4 x 3 = 12 =
3 3 3 3 9
= 1
9 12
9
3
3 3 = 1
9 3 3
1
1
3

51. 4.) 225
288
=225 9 = 25
288 9 32
225 :3x3x5x5
288 :3x3 x2x2x2x2x2
GCF:3x3 = 9

52. 5.) 264
336
= 264 24 = 11
336 24 14
264 :2x2x2x3x11
336 :2x2x2x3 x2x7
GCF:2x2x2x3 = 24

53. 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

54. 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

55. 8.) 152
128
= 152 8 = 19 = 3
128 8 16 16
1
152 :2x2x2x19
128 :2x2x2 x2x2x2x2
GCF:2x2x2 = 8

56. 9.) 264
112
= 264 8 = 33 = 5
112 8 14 14
2
264 :2x2x2x3x11
112 :2x2x2 x2x7
GCF:2x2x2 = 8

57. 10.) 504
576
= 504 72 = 7
576 72 8
504 :2x2x2x3x3x7
GCF:2x2x2x3x3 = 72
576 :2x2x2x3x3 x2x2x2

58. 11.) 276
368
= 276 92 = 3
368 92 4
276 :2 x 2 x 3 x 23
GCF:2 x 2 x 23 = 92
368 :2 x 2 x 23 x 2 x 2

59. 12.) 192
648
= 192 24 = 8
648 24 27
192 :2x2x2x2x2x2x3
GCF:2x2x2 x3 = 24
648 :2x2x2 x3x3x3x3

60. 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

61. 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

62. 15.) 616
528
= 616 88 = 7
528 88 6 Or 1
1
6
616 :2x2x2x 7 x 11
528 :2x2x2 x 11 x 2 x 3
GCF:2x2x2 x 11 = 88