Chapter Review of Fractions Section Exercises 2-1, p 49 proper 13 improper 157 7ͤ 12 improper 1 20 20ͤ 21 20 13 1,300 = = phones per person 1,000 10 10 proper 18ͤ 18 18 14 10 proper 37 7ͤ 17 14 11 improper 8ͤ 16 16 12 1,500 = = phones per person 1,000 2 15 (4 * 6) + = 25; 25 16 (5 * 27) + = (135) + = 137; 18 (5 * 3) + = 19; 19 19 (8 * 1) + = 13; 137 13 17 (3 * 2) + = 7; 12 , = 15 , 22 12 , = 20 , 23 20 , = 24 , 24 18 , 18 = 36 , 18 25 24 , 12 = 36 , 12 26 13 , 13 = 39 , 13 27 400 million = 9,000 million 45 28 4,000 million = 24,000 million 30 31 32 R15 21ͤ 36 21 15 R9 15ͤ 24 15 R6 15ͤ 21 15 R6 9ͤ 15 R3 6ͤ 15 12 R3 6ͤ R0 3ͤ 6 R0 3ͤ 6 3ͤ 6 GCD = GCD = 21 21 , = = 36 36 , 12 15 15 , = = 24 24 , R12 18ͤ 48 36 12 R6 12ͤ 18 12 R0 6ͤ 12 12 GCD = 18 18 , = = 48 48 , R10 15ͤ 40 30 10 R5 10ͤ 15 10 R0 5ͤ 10 10 GCD = 15 15 , = = 40 40 , 33 8ͤ 16 * = * 16 34 5ͤ 20 * 16 = * 20 35 8ͤ 32 * 12 = * 32 36 9ͤ 27 * 15 = * 27 37 3ͤ 15 * 5 = * 15 38 5ͤ 15 * = * 15 Chapter 20 (3 * 6) + = 20; 21 29 24 163 16ͤ 387 32 67 64 Copyright © 2014 Pearson Education, Inc 20 2-2, p 57 10 13 16 19 9 + 9 15 = 24 14 + = + 12 24 29 = 24 24 20 = 51 18 72 27 +86 = +86 24 72 47 137 72 51 20 = 36 = 12 36 24 +2 = +2 36 47 11 10 = 11 36 36 21 = 28 20 - = 28 28 16 = 21 = 20 10 10 7 -12 = -12 = -12 10 10 10 10 21 81 -5 33 + 12 = = 8 10 = 12 +7 = +7 12 16 11 = 12 = 12 12 12 7 = 12 12 3 = 12 +2 = +2 12 18 10 = 11 = 11 12 12 11 14 8 = 2 = -6 = -6 6 32 = 15 15 60 25 -7 = -7 12 60 60 17 15 = 11 5 4 -7 = -7 5 20 12 Copyright © 2014 Pearson Education, Inc 25 = 30 14 + = + 15 30 39 = = 30 30 10 20 = 23 12 48 21 +48 = +48 16 48 41 71 48 21 = 24 3 = 24 24 +6 = +6 24 28 = = 24 24 6 12 15 23 9 = 9 7 -12 = -12 9 2 15 = 14 27 = 23 = 22 24 24 14 14 = =12 24 24 13 22 24 18 23 3 + 11 + 18 = 4 6 17 11 + 11 + 18 = 40 = 8 8 42 yards 21 11 Chapter 3 + 37 + 12 + 23 = 8 42 + 37 + 12 + 23 = 8 8 17 114 = 116 feet 8 23 22 42 4 3 + + + + = 5 8 32 32 32 15 15 + + + + = 40 40 40 40 40 126 26 = 29 inches 40 20 5 + 12 + 12 + 12 8 1 + + = 2 5 + 10 + 12 + 12 + 12 8 8 4 40 + + = 84 = 89 feet 8 + 10 25 45 - 42 24 26 12 - 10 +12 10 +12 10 = 11 - 10 = feet 4 4 = 44 - 42 = 8 yards; she can use the fabric 15 10 15 - 12 = 13 - 12 = feet 16 16 16 16 14 - 12 = 13 - 12 = = feet 8 8 8 14 - 12 = 13 - 12 = feet 8 8 13 13 10 13 - 12 = 13 - 12 = feet 16 16 16 16 27 13 + = 16 = 17 = 17 4 4 2 1 36 - 17 = 35 - 17 = 18 inches 2 2 28 2-3, p 64 1 * = 10 12 39 ; = 7 39 5 * = 42 35 805 13 23 * = = 22 36 36 1 12 12 21 , = * = = 13 , = 7 10 10 14 12 25 75 75 200 , = * = 16 75 , = 8 3 = 66 , or 67 sheets 3 39 200 800 17 200 , = 200 , = * = 4 39 39 20 = 20 rooms 39 35 40 32 18 40 , = 40 , = * = 4 35 7 = ; boxes 149 149 20 * 18 = * = = 74 feet 8 2 Theoretically, cabinets will exactly fit on the wall 10 Chapter 2 21 21 63 31 , = , = * = = 4 32 32 3 3 15 , = , = * = 4 20 21 21 19 21 , = , = * = 2 10 3 = , = * 12 10 5 11 , = * = 8 27 10 = ; 8 27 24 * = Copyright © 2014 Pearson Education, Inc 1 13 13 * = * = = inches long 4 2 28 , = 14 inches wide 12 inches long * 14 inches wide 33 33 21 * = * = = 16 feet 8 2 22 Yes, if no more than a total of 18 inch is needed for spacing between the desks Exercises Set A, p 71 100 41 Examples will vary , , , , ; proper fractions 301 53 20 12 132 Examples will vary , , , , ; improper fractions 89 (3 * 4) + 13 = 3 (3 * 33) + 100 = 3 (6 * 5) + 35 = 6 15 , = 18 , 10 20 , 10 = 30 , 10 11 30 , = 48 , 12 10 * = * 12 13 * 20 = * 32 14 * 13 117 = 11 * 13 143 15 15 = = of the employees 105 21 16 2)4 12 16 2)2 2)1 2)1 3)1 1 1 * * * * = 48 18 2)1 10 3)1 5 5)1 5 1 1 * * = 30 21 + = + = 11 8 8 23 12 25 = 10 -4 = -4 10 3 10 28 -3 = 8 20 22 11 24 26 -3 = 24 12 42 12 21 21 3 21 1 1 * * * = 168 2 10 16 + = + = = 15 15 15 15 + = 11 + = 19 = 20 = 20 6 6 = = 12 12 12 5 27 2 = -3 5 5 = 6 -3 = -3 1 = 29 18 30 32 33 10 * = = 3 3 5 = -3 8 feet 56 * = 28 31 + = = 5 5 + 16 = 28 = 29 yards 8 28 19 17 2)56 2)28 2)14 3) 7) * Copyright © 2014 Pearson Education, Inc Chapter 11 3 35 , = * = 4 1 13 34 = ; 4 13 15 15 15 , = * = = 36 , = 2 2 4 22 1 22 11 37 , = , = * = 7 11 38 244 , 244 61 244 = 32 pieces = , = * 8 61 39 6 10 5 + - = + - = = = inches 8 8 8 4 96 18 * = 12 hours 40 1 2 $288 41 - = - = ; * = +192 3 3 1 Exercises Set B, p 73 15ͤ 52 45 7 15 (8 * 7) + 59 = 8 18 , = 63 , 13 10 11 77 ͤ 77 20 4ͤ 83 3 (5 * 10) + 51 = 5 78 , 13 = 96 , 16 = of the class 30 15 110 10ͤ 19 10 18 , = 20 , 10 27 , = 36 , 11 * 63 = * 81 12 28 * = * 49 14 2)8 20 16 2)4 10 2)2 2)1 5)1 1 1 * * * * = 80 17 + = = 8 16 2)12 15 2) 15 3) 15 5) 1 15 2)8 12 24 2)4 12 2)2 3)1 3 3)1 1 11 1 * * * * = 72 11 18 + + = 12 16 12 44 21 77 29 + + = = 48 48 48 48 48 * * * = 60 + + = 10 + + = 12 12 12 17 = 12 12 20 19 21 12 12 = = 14 14 14 = 14 22 Chapter 3 + + = + + 8 8 13 = 21 = 22 8 21 = = 14 14 12 12 -3 = -3 = -3 14 14 14 Copyright © 2014 Pearson Education, Inc 8 1 -4 = -4 8 7 23 12 25 24 = 11 12 = = 10 10 3 -2 = -2 = -2 10 10 10 10 27 40 = 39 26 40 1 -37 = -37 2 1 hours 10 35 = 37 = 37 hours Maxine Ford worked 4 2 hours more than = = = = = George Mackie 24 27 * = = 7 32 * = cakes 30 10 * = 8 33 1 1 3 28 * * * = 10 35 31 19 = ; 8 19 34 32 = 15 = * = 20 1 ; 61 12 = ; 12 12 61 35 20 , = * = = 6 3 36 15 , 21 12 29 10 * = * = 18 7 37 1 15 , = , 3 15 = * = = 2 38 91 , 91 13 91 = , = * = 56 pieces 8 13 39 1 15 10 29 + + = + + = = feet 20 20 20 20 20 13 = 13 feet 41 * = * 8 16 13 = - = feet 40 - 16 16 16 16 Practice Test, p 75 1 5 3 4 12 , = 15 , 5 15 , = 35 , 7 (8 * 2) + 16 + 21 = = 8 8 (12 * 3) + 36 + 37 = = 12 12 12 Copyright © 2014 Pearson Education, Inc = ; 5 21 , = 51 , 17 39 = 213 9ͤ 21 18 Chapter 13 10 4 13 13ͤ 56 52 11 - = 6 12 14 , = 15 10 7 13 * = 10 16 25 36 61 21 + = + = = 10 40 40 40 40 , = 21 23 , = 10 * = = 9 21 * = 23 42 19 = 23 23 16 56 * 32 1 + = 3 + = 6 6 = = 5 136 - 89 = 47 5 18 137 - 89 17 56 230 = 1,840 * 19 = entire load 3 - = Part of the truckload to be unloaded 3 1 20 87 = 580 20 * = of the truckload remains to be unloaded 1 22 % + % = % + % = % 4 , = 125 , = 21 62 25 1 125 * = 100 sheets 2 $80 = The main course cost was of the total budget 23 $200 5 225 900 900 1,125 24 * = * = = 31 = 31 36 36 36 36 1 The recipe for 900 cupcakes requires 31 cups of sugar Critical Thinking, p 77 The two operations that require a common denominator are addition and subtraction The product of any number and its reciprocal is Exam3 ples will vary * = 14 Chapter 2 The number can be written as any fraction that has a 21 = denominator and numerator that are the same 21 Division requires the use of the reciprocal of a fraction Answers will vary One example is: 15 45 , = * = 15 56 Copyright © 2014 Pearson Education, Inc 5 The parts that are known must be added The sum of the known parts is then subtracted from the total to give the one unknown part Examples will vary The deductions for a paycheck are: Withholding tax, $261; Credit Union, $100; Insurance, $217; and Dues, $15 The Social Security tax is not known Find the Social Security tax if the deductions total $680 To find the reciprocal of a mixed number, first change the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the numerator of the improper fraction The denominator of the mixed number is the denominator of the improper fraction Then, interchange the numerator and denominator of the improper fraction to make its reciprocal 13 = 10 ; reciprocal = 10 Two fractions are equal if the lowest terms of both fractions are the same 3 * = = 14 3 9 * = ; = = 21 14 21 Therefore, and are equivalent or equal fractions 14 21 Answers will vary 12 , = 12 * = 24 12 16 12 , = * = = 16 A whole number, like 5, divided by a proper fraction, like 12, means the wholes are being broken up into halves, so you have more parts (pieces) than you started with , 12 = 51 * 21 = 10 11 The fraction in the minuend cannot be subtracted from the fraction in the subtractend The minuend must be rewritten so the fraction has a larger numerator 12 = 11 + + = 11 4 4 3 -7 -7 4 = 4 2 15 45 15 , = * = = 22 2 10 A proper fraction has a value that is less than and an improper fraction has a value that is greater than or equal to The division should be written as a multiplication by the reciprocal of the divisor (second number) , = 4 , = 4 16 * = 9 81 Challenge Problem p 77 19 6,681 = 92 72 24 Because a portion of the 93rd square yard is needed, we will buy 93 yards and additional yards for matching 93 + = 97 97 * 12 = +1,164 51 131 * 32 = * 4 6,681 = = 835 square feet 8 6,681 6,681 6,681 , = * = square yards 8 72 25 Case Studies 2-1, p 78 12 = 2 = 202 = 10 cups apples 5 2 cup = = cups brown sugar 5 2 tsp = = 14 tsp cinnamon 5 tsp = tsp each nutmeg/cloves 10 1 tsp = = tsp lemon juice 1 23 cup = 106 = 123 cups sugar 5 tsp = 16 tsp salt 15 cup = = cups flour 5 cup = cup butter 5 cup = cup walnuts Copyright © 2014 Pearson Education, Inc Chapter 15 cups + cups = cups apples 2 cup + cup = cup brown sugar tsp + tsp = tsp cinnamon tsp + tsp = tsp each nutmeg/cloves cup 12 = cup 2 = cup brown sugar; 14 31 = = cup granulated sugar; cup + tsp + 4 tsp + tsp = tsp lemon juice 3 cup = 113 cup sugar tsp = = cup + cup = cup + cup = cup + cup = 4 cup for all batches 31 tsp salt = 112 cups flour cup butter = cup walnuts = cup for batches 2-2, p 79 +240,000 +240,000 = * = = +120,000 materials 2 +240,000 +240,000 +240,000 * = * = = +80,000 labor 3 +240,000 - (+120,000 + +80,000) = +40,000 profit 40,000 or = fraction of cost 240,000 +240,000 * 400 ft * 400 ft = 160,000 square feet 5,000 10,000 80,000 40,000 = ; = ; = ; = 160,000 160,000 32 160,000 16 160,000 160,000 - (40,000 + 5,000 + 10,000 + 80,000) = 25,000 square feet 25,000 = is the portion that remains for a water garden 160,000 32 16 Chapter Copyright © 2014 Pearson Education, Inc ... number and adding the numerator to get the numerator of the improper fraction The denominator of the mixed number is the denominator of the improper fraction Then, interchange the numerator and. .. addition and subtraction The product of any number and its reciprocal is Exam3 ples will vary * = 14 Chapter 2 The number can be written as any fraction that has a 21 = denominator and numerator... the use of the reciprocal of a fraction Answers will vary One example is: 15 45 , = * = 15 56 Copyright © 2014 Pearson Education, Inc 5 The parts that are known must be added The sum of the known