Change to like fractions, and divide the numerator of the dividend by the numerator of the divisor.

Or, for convenience, invert the divisor and multiply, canceling when possible.

4
7

55. 907÷7

59. 621÷9

54. 308÷9 58. 671÷8 62. 41÷61 63. 39-33 66. 123-15 67. 163+18 68. 371+131 69. 331÷142 70. 59 +65 71. 44+63 72. 58÷83 73. 71%÷224 74. 183123 75. 143÷103 76. 42÷223 77. 621÷831

COMPLEX FRACTIONS

16

56. 603+5

57. 662÷6

60. 831+7

61. 1255÷12

64. 98+35

65. 4÷68

2 4 3
5

Such expressions as

are complex fractions.

31' 3' 21'

They are simplified by performing the operation indicated.

Since multiplying both terms of a fraction by the same number does not change the value of the fraction, we may simplify by multiplying both terms by the least common multiple of the denominators.

18. (+15)÷ (} + i) 20. (×6)+(14 × 21) 22. (35+27) × (3§ − 21)

19. (+)+( − 1 ) 21. (3) × ( -3) 23. (2+1)-(61-51) 24. (54 −31)÷(33 × 17) 25. (4×4)-(88-43) 26. (23 +11)−(17÷33)

MISCELLANEOUS PROBLEMS

1. Mr. Bryant sold three piles of wood containing 8 cords, 4 cords, and 7 cords, respectively. How many cords in all?