6th Grade Fractions Chapter Questions

6th Grade Fractions Chapter Questions

1. Explain how to add, subtract, multiply and divide fractions.

2. Explain why you multiply by the inverse when dividing.

3. What is the GCF and how do you determine it?

4. What is the LCM and how do you determine it?

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Chapter Problems

Greatest Common Factor

Classwork

Find the Greatest Common Factor of each set of

numbers.

Least Common Multiple

Classwork

Find the Least Common Multiple of each set of

numbers.

1) 72 and 64

21) 9 and 21

2) 15 and 16

22) 12 and 80

3) 14 and 49

23) 6 and 10

4) 15 and 75

24) 14 and 12

5) 66 and 147

25) 15 and 36

6) 78 and 42

26) 8 and 20

7) 75 and 18

27) 9 and 6

8) 98 and 66

28) 15 and 10

9) 27 and 72

29) 8 and 14

10) 18 and 21

30) 55 and 22

Homework

Find the Greatest Common Factor of each set of

numbers.

Homework

Find the Least Common Multiple of each set of

numbers.

11) 30 and 45

31) 9 and 15

12) 70 and 130

32) 4 and 7

13) 98 and 30

33) 12 and 15

14) 45 and 66

34) 10 and 9

15) 77 and 21

35) 8 and 14

16) 63 and 45

36) 11 and 13

17) 36 and 63

37) 42 and 21

18) 21 and 40

38) 4 and 6

19) 6 and 51

39) 14 and 63

20) 63 and 99

40) 22 and 8

GCF/LCM Applications

Classwork

41) Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers

for her friends at school. She wants to divide the cookies into identical containers so that each

container has the same number of each kind of cookie.

a. If she wants each container to have the greatest number of cookies possible, how many

plastic containers does she need?

b. How many of each cookie will she put in each container?

42) Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency.

Tours for the National Capitol leave every 8 minutes. Tours for the White House leave every 10

minutes. How often do the tours leave at the same time?

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43) Joe is making key chains with beads. He wants each key chain to have the same number of

beads. He has 90 blue beads and 72 yellow beads.

a. What is the greatest number of key chains he can make that are exactly the same?

b. How many of each color bead will be on each key chain?

44) A florist has 36 roses, 27 tulips, and 18 carnations she must use to create bouquets.

a. What is the largest number of bouquets she can make without having any flowers left

over?

b. How many of each flower will she put in each bouquet?

45) A radio station is giving away prizes to its callers. Depending on what number caller you are, you

receive a different prize.

Prizes

Hat

T-shirt

Backpack

Caller

Every 3rd caller

Every 5th caller

Every 6th caller

What number caller will be the first to receive all 3 prizes?

Homework

46) Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks

every 6 seconds. In 60 seconds, how many times will they blink at the same time?

47) Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24

white balloons, and 16 orange balloons. She wants each arrangement to have the same number

of each color.

a. What is the greatest number of arrangements that she can make if every balloon is used?

b. How many balloons of each color will be in each arrangement?

48) At a display booth at an amusement park, every visitor gets a gift bag. Some of the bags have

items in them as shown in this table.

Items

Hat

T-shirt

Backpack

Bags

Every 2nd visitor

Every 7th visitor

Every 10th visitor

What number visitor will be the first to receive all 3 items in the gift bag?

49) There are 48 girls and 64 boys in the school choir. The choir teacher plans to arrange the

students in equal rows. The same number of boys and the same number of girls will be in each

row. What is the greatest number of rows the teacher can arrange?

50) Mike can buy red push pins in packages of 10 and yellow push pins in packages of 12. What is

the least amount of packages of each color he must buy in order to have the same number of

pins?

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Distribution

Classwork

Use the Distributive Property to rewrite each

expression:

1

2

3

3

76) 1 + 3

77) 1

1

12

51) 45 + 75

3

7

7

1

4

9

9

79) 6 + 4

53) 77 + 91

3

54) 32 + 44

80) 3

55) 46 + 69

1

1

2

3

1

2

3

5

32

82) +

57) 24 + 66

58) 38 + 95

83)

59) 85 + 95

3

60) 35 + 22

85)

12

5

3

6

7

84) +

12

2

+

18

6

1

1

2

3

1

1

4

7

86) 1 + 2

Homework

Use the Distributive Property to rewrite each

expression:

87) 4 + 5

3

88) 9

61) 20 + 44

62) 30 + 400

12

1

89) 6

11

63) 63 + 72

3

90) 3

64) 9 + 12

24

32

5

+

10

15

+ 11

81) +

56) 51 + 17

12

5

78) 3 + 2

52) 18 + 27

5

+2

11

+5

20

+ 4

4

9

16

+ 11

32

65) 33 + 45

66) 34 + 51

Homework

Simplify to lowest terms:

67) 65 + 91

69) 104 + 78

93)

94)

Adding Fractions

Classwork

Simplify to lowest terms:

1

1

2

2

1

2

4

4

72) +

73)

3

12

75)

3

7

7

12

32

+

4

2

3

6

6

6

+

18

11

+

12

4

+

16

6

18

15

12

6

16

1

3

6

6

3

5

8

8

96) 3 + 2

97) 1 + 3

98) 5

12

5

74) +

95)

14

+

3

4

92) +

70) 26 + 13

71) +

1

91) +

68) 102 + 42

99) 2

100) 7

16

1

18

4

13

11

12

7

+2

18

+ 3

+

11

13

5

12

32

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101)

102)

103)

104)

105)

2

8

3

8

4

+

9

7

+

11

12

20

22

3

4

5

3

5

8

9

2

2

7

5

1 + 2

106)

1 + 3

107)

4 + 4

10

109)

7

17

30

11

131)

132)

133)

+ 1

+

12

5

134)

12

5

135)

16

Subtracting Fractions

Classwork

110)

111)

112)

113)

114)

115)

116)

117)

118)

119)

120)

121)

122)

123)

124)

125)

126)

127)

5

2

5

7

7

8

8

10

23

8

1

4

4

12

6

137)

13

138)

15 ? 6

21

79

140)

7

9

8

20

4

141)

1

4

142)

3

22

143)

5

13

14

1

9

20

24

5

21

? 11

8

14

23

10

3

?

?

?

2

10

3

8

22

55

4

9

12

6

21

4

1

3 ? 1

6 ? 5

7 ? 7

9

3

13

148)

41

149)

15 ? 6

2

?

1

1

147)

20

2

9

150)

7

79

8

50

7

1

146)

6

24

3

1

145)

5

?

? 56

5

14

3

?

50

2

12

?

120

11

3

?

70

144)

? 13

11 ? 10

15

15

?

8

12

? 5

?

6

11

120

136)

139)

? 3

?

22

?

2

3

10

8

3 ? 1

6

7

11

?

120

5

7

2

10

7

7 ? 4

12

5

?

84

40

43

3

?

5

4

4

5

2

33

2 ? 1

3

6

3

?

2

?

22

9

5

8

14

1

8

3

3

3

2

3

?

3

2

2

?

20

7

3

?

15

11 ? 10

130)

150

1

108)

129)

10

Homework

30

+

100

43 ? 13

15

+

12

1

128)

33

50

6

? 30

6

15

3

5

? 56

7

20

12

30

90

3

1

4

3

2

1

5

7

3

5

5

6

2 ? 1

5 ? 2

7 ? 4

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