Write the fraction to represent the shaded area of each figure



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Fractions

Write the fraction to represent the shaded area of each figure. (p. 1&2 in notes)

1. 2.

3. 4.

5. 6.

Represent the shaded area in each figure group with an improper fraction. (p. 1&2 in notes)

7. 8.

9. 10.

List all the factors of the following numbers. (p. 3 in notes)

11. 12 12. 80

13. 45 14. 128

Write the prime factorization of each number. (p. 4&5 in notes)

15. 12 16. 80

17. 45 18. 128

Find the GCF of the numerator and denominator and use the GCF to reduce. (p. 6&7 in notes)

19. 5/20 20. 18/4

21. 25/55 22. 18/45

23. 14/35 24. 18/24

Find the prime factorization for the numerator and denominator and cancel to reduce. (p. 8&9 in notes)

25. 5/20 26. 18/4

27. 25/55 28. 18/45

29. 14/35 30. 18/24

Build the higher term using the denominator given. Show your work. (p. 9&11 in notes)

31. 3/5; denominator 20 32. 1/6; denominator 24

33. 1/3; denominator 30 34. 4/6; denominator 12

Build the higher term. Show your work. (p. 9-11 in notes)

35. 5 = 36. 2 =

8 3 12

37. 5 = 38. 2 =

8 56 3 30

Find each product. Do not reduce. (p. 11&12 in notes)

39. 1/3 ( 2/5 40. 2/3 ( 4/7 41. 3 ( 3/8

42. 6/5 ( 1/7 43. 7/3 ( 2/3 44. 2 ( 7/11

45. 5/9 ( 7/4 46. 2/3 ( 5/9 47. (2/3)3

Find the reciprocal of each. (p. 12&13 in notes)

48. 4/3 49. ¾ 50. 5/9

51. 7/6 52. 1 53. 2

Divide. Do not reduce. (p. 14&15 in notes)

54. 5/8 ( 2/3 55. 10/11 ( 4/5 56. 100 ( ½

Add/Subtract. Do not reduce. (p. 15&16 in notes)

57. 2/15 + 4/15 + 9/15 58. 9/13 + 10/13 + 7/13

59. 4/11 ( 5/11 ( 3/11 + 2/11 60. 15/8 ( 1/8 + 2/8

(All the following are from p. 21-23 in notes)

Addition. Reduce when necessary. Change all improper fractions to mixed numbers.

Remember: If denominators are the same:

1) Add the numerators for the numerator of the answer

2) The common denominator is the denominator of the answer

Example: 7 + 9 = 7 + 9 = 16 = 1 7/9

9 9 9 9

61. 7 + 9 62. 31 + 22 63. 57 + 29

2 2 91 91 102 102

64. 25 + 25 65. 48 + 25 66. 16 + 17

75 75 35 35 54 54

Subtraction. Reduce when necessary. Change all improper fractions to mixed #'s.

Remember: If the denominators are the same

1) Subtract the numerators for the numerator of the answer

2) The common denominator is the denominator of the answer

Example: 13 - 7 = 13 - 7 = 6 = 1

12 12 12 12 2

67. 50 ( 25 68. 13 ( 7 69. 23 ( 17

75 75 9 9 17 17

70. 21 ( 10 71. 7 ( 2 72. 12 ( 11

16 16 9 9 109 109

Multiplication. Reduce when necessary. Change all improper fractions to mixed #'s.

Remember: 1) Multiply the numerators for the numerator of the answer

2) Multiply the denominators for the denominator of the answer

Example: 9 ( 5 = ( 9 )( 5 ) = 45 = 3 3/14

2 7 ( 2 )( 7 ) 14

73. 5 ( 2 74. 9 ( 5 75. 5 ( 2

3 7 8 9 9 3

76. 4 ( 2 77. 1 ( 5 78. 7 ( 3

5 7 3 9 9 5

Division. Reduce when necessary. Change all improper fractions to mixed #'s.

Remember: 1) Invert the divisor (That means flip the second number over) and

multiply.

2) Multiply the numerators for the numerator of the answer

3) Multiply the denominator for the denominator of the answer

Example: 3 ( 5 = 3 ( 7 = ( 3 )( 7 ) = 21 = 3 ( 7 = 7

9 7 9 5 ( 9 ) ( 5 ) 45 3 (15 15

79. 5 ( 7 80. 9 ( 5 81. 5 ( 2

3 2 8 9 9 3

82. 4 ( 2 83. 3 ( 5 84. 7 ( 3

5 7 1 9 9 5

Write each improper as a whole or mixed number. (p. 20 in notes)

85. 13/7 86. 42/13 87. 47/15

88. 65/12 89. 125/4 90. 42/6

91. 15/4 92. 39/13 93. 7/7

List the first 10 multiples of the following numbers. (p. 23 in notes)

94. 4

95. 10

96. 9

List the multiples of the denominators and then use them to find the LCD. (p. 23 in notes)

97. ¼ and 5/6 98. 7/12 and 7/15

99. ¾ , 1/6 and 13/18 100. 1/15 and 1/90

101. 7/8 and 13/12 102. 7/10, 8/15 and 9/100

List the prime factors of the denominators and then use them to find the LCD. (p. 24&25 in notes)

103. ¼ and 5/6 104. 7/12 and 7/15

105. ¾ , 1/6 and 13/18 106. 1/15 and 1/90

107. 7/8 and 13/12 108. 7/10, 8/15 and 9/100

Add or Subtract. Reduce when necessary. Convert all improper fractions to mixed numbers. (Page 25-27 in notes)

109. 5/6 + 1/6 110. 2/3 ( ¼

111. 2/5 + 3/25 112. 7/12 ( 5/18

113. 5/7 + 1 114. 5/6 ( 1/12

115. 4/5 ( 2/15 116. 5/8 ( 3/20

117. 10/13 ( 7/10 118. 4/13 ( 1/13

119. ½ ( 3/29 120. 9/16 ( 3/8

121. 4/5 + 4/9 122. 4/7 + 1/7 + 2/7

123. ¼ ( 1/8 ( 1/16 124. 6/5 + ¾ ( ½

Write each whole or mixed number as an improper fraction. (Page 28 in notes)

125. 2 1/3 126. 6 ¾ 127. 3 3/8

128. 3 129. 11 6/7 130. 8 9/10

131. 2 1/5 132. 5 133. 3 8/9

Add/Subtract by converting to improper fractions first. Reduce and/or change final answer to a mixed number. (Page 29-30 in notes)

134. 7 4/9 + 3 2/9 135. 15 3/25 ( 5 2/5

136. 5 3/8 ( 2 13/16 137. 9 1/5 ( 8 6/25

138. 3 5/8 139. 4 1/3 140. 7 4/9

2 1/6 9 2/5 ( 3 2/9

+ 7 ¾ + 3 1/6

141. 5 5/8 142. 23 3/5 143. 4 7/10

+ 2 3/8 ( 8 8/15 ( 2 1/10

Add/Subtract in columns. Do not change to improper fractions. Borrow and carry where necessary. Reduce and/or change final answer to a mixed number. (Page 30-34 in notes)

144. 7 4/9 + 3 2/9 145. 15 3/25 ( 5 2/5

146. 5 3/8 ( 2 13/16 147. 9 1/5 ( 8 6/25

148. 3 5/8 149. 4 1/3 150. 7 4/9

2 1/6 9 2/5 ( 3 2/9

+ 7 ¾ + 3 1/6

151. 5 5/8 152. 23 3/5 153. 4 7/10

+ 2 3/8 ( 8 8/15 ( 2 1/10

Multiply/Divide. Reduce and/or change final answer to a mixed number. (Page 35-38 in notes)

154. 2 2/3 ( 1/7 155. 5/9 ( 4 1/5 156. 8 ( 1 5/7

157. 5 ( 3 ¾ 158. 3 2/3 ( 1 ½ 159. 2 2/3 ( 1/7

160. 5/9 ( 4 1/5 161. 4 ½ ( 3 162. 5 1/5 ( 3 ¼

163. 6 2/3 ( 2 ¾

Write each fraction as a decimal. Show repeating decimals with a bar over the repeat. If an decimal is non-repeating after the thousandths place round to the nearest hundredth. (Page 39-42 in notes)

164. 2/5 165. 6/8 166. 6/5

167. 3/25 168. ¼ 169. 19/25

170. 5/12 171. 31/40 172. 7/9

173. 27/16 174. 9/11 175. 4/11

Round each as indicated.

176. Round #172's answer to the nearest hundredth

177. Round #173's answer to the nearest hundredth

178. Round #174's answer to the nearest tenth

179. Round #175's answer to the nearest tenth

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