2.6 Chapter Review
Review Exercises
Find Equivalent Fractions
In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.
| 1. | 2. |
| 3. | 4. |
Simplify Fractions
In the following exercises, simplify.
| 5. | 6. |
| 7. | 8. |
| 9. | 10. |
| 11. | 12. |
Multiply Fractions
In the following exercises, multiply.
| 13. | 14. |
| 15. | 16. |
| 17. | 18. |
| 19. | 20. |
Divide Fractions
In the following exercises, divide.
| 21. ÷ | 22. ÷ |
| 23. ÷ | 24. ÷ |
| 25. ÷ | 26. ÷ |
| 27. ÷ | 28. ÷ |
| 29. ÷ | 30. ÷ |
| 31. | 32. |
| 33. | 34. |
| 35. | 36. |
Simplify Expressions Written with a Fraction Bar
In the following exercises, simplify.
| 37. | 38. |
| 39. | 40. |
| 41. | 42. |
| 43. | 44. |
| 45. | 46. |
| 47. | 48. |
Translate Phrases to Expressions with Fractions
In the following exercises, translate each English phrase into an algebraic expression.
| 49. the quotient of c and the sum of d and 9. | 50. the quotient of the difference of h and k, and . |
Add and Subtract Fractions with a Common Denominator
In the following exercises, add.
| 51. | 52. |
| 53. | 54. |
| 55. | 56. |
In the following exercises, subtract.
| 57. | 58. |
| 59. | 60. |
| 61. | 62. |
Add or Subtract Fractions with Different Denominators
In the following exercises, add or subtract.
| 63. | 64. |
| 65. | 66. |
| 67. | 68. |
| 69. | 70. |
| 71. | 72. |
| 73. | 74. |
Use the Order of Operations to Simplify Complex Fractions
In the following exercises, simplify.
| 75. | 76. |
| 77. | 78. |
Evaluate Variable Expressions with Fractions
In the following exercises, evaluate.
| 79. when a) b) |
80. when a) b) |
| 81. when and | 82. when and |
| 83. when |
84. when |
Name and Write Decimals
In the following exercises, write as a decimal.
| 85. Eight and three hundredths | 86. Nine and seven hundredths |
| 87. One thousandth | 88. Nine thousandths |
In the following exercises, name each decimal.
| 89. 7.8 | 90. 5.01 |
| 91. 0.005 | 92. 0.381 |
Round Decimals
In the following exercises, round each number to the nearest a) hundredth b) tenth c) whole number.
| 93. 5.7932 | 94. 3.6284 |
| 95. 12.4768 | 96. 25.8449 |
Add and Subtract Decimals
In the following exercises, add or subtract.
| 97. | 98. |
| 99. | 100. |
| 101. | 102. |
| 103. | 104. |
| 105. | 106. |
Multiply and Divide Decimals
In the following exercises, multiply.
| 107. | 108. |
| 109. | 110. |
| 111. | 112. |
In the following exercises, divide.
| 113. 0.15 ÷ 5 | 114. 0.27 ÷ 3 |
| 115. $8.49 ÷ 12 | 116. $16.99 ÷ 9 |
| 117. 12 ÷ 0.08 | 118. 5 ÷ 0.04 |
Convert Decimals and Fractions
In the following exercises, write each decimal as a fraction.
| 119. 0.08 | 120. 0.17 |
| 121. 0.425 | 122. 0.184 |
| 123. 1.75 | 124. 0.035 |
In the following exercises, convert each fraction to a decimal.
| 125. | 126. |
| 127. | 128. |
| 129. | 130. |
| 131. | 132. |
Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers
In the following exercises, write as the rati