Basic Mathematics for College Students

Divide. Simplify each quotient, if possible.See Example 3.

21. 
    
    
    
    22. 
        
    
    
    
    


22. 
    
    
    
    24. 
        
    
    
    
    

Divide. Simplify each quotient, if possible.See Example 4.

25. 
    
    
    
    26. 
        
    
    
    
    


26. 
    
    
    
    28. 
        
    
    
    
    

Divide. Simplify each quotient, if possible.See Example 5.

29. 
    
    
    
    30. 
        
    
    
    
    


30. 
    
    
    
    32. 
        
    
    
    
    

Divide. Simplify each quotient, if possible.See Example 6.

33. 
    
    
    
    34. 
        
    
    
    
    


34. 
    
    
    
    36. 
        
    
    
    
    

Divide. Simplify each quotient, if possible.

37. 
    
    
    
    38. 
        
    
    
    
    


38. 
    
    
    
    40. 
        
    
    
    
    


39. 
    
    
    
    42. 
        
    
    
    
    


40. 
    
    
    
    44. 
        
    
    
    
    


41. Divide by 46. Divide by


42. 
    
    
    
    48. 
        
    
    
    
    


43. 
    
    
    
    50. 
        
    
    
    
    


44. 
    
    
    
    52. 
        
    
    
    
    


45. 
    
    
    
    54. 
        
    
    
    
    


46. 
    
    
    
    56. 
        
    
    
    
    

11

16

a

9

16

b

9

10

a

3

25

b



3

4



3

2



9

10



4

15

7

8

 210

15

16

 180



7

8

 (14)

4

5

(6)

9 

3

4

3 

1

12

4

5



7

10

3

4



15

32

2

3



2

3

4

5



4

5

a

15

16

ba

5

8

a b

7

4

ba

21

8

b

1

7



5

6

1

2



3

5

360 

36

5

120 

12

5

TRY IT YOURSELF



21

31

 (7)

33

23

(11)



32

45

 (8)

28

55

(7)

4

9

a

16

27

b

2

5

a

4

35

b

1

9

a

1

27

b

1

8

a

1

32

b

170 

17

6

150 

15

32

60 

10

3

50 

10

9

16

27



20

21

27

32



9

8

4

25



2

35

25

32



5

28

57. 
    
    
    
    58. 
        
    
    
    
    


58. 
    
    
    
    60. 
        
    
    
    
    

The following problems involve multiplication and division.

Perform each operation. Simplify the result, if possible.

61. 
    
    
    
    62. 
        
    
    
    
    


62. 
    
    
    
    64. 
        
    
    
    
    


63. 
    
    
    
    66. 
        
    
    
    
    


64. 
    
    
    
    68. 
        
    
    
    
    


65. 
    
    
    
    70. 
        
    
    
    
    


66. 
    
    
    
    72. 
        
    
    
    
    


67. 
    
    
    
    74. 
        
    
    
    
    


68. 
    
    
    
    76. 
        
    
    
    
    


69. PATIO FURNITURE A production process applies
    several layers of a clear plastic coat to outdoor
    furniture to help protect it from the weather. If each
    protective coat is -inch thick, how many
    applications will be needed to build up inch of clear
    finish?


70. MARATHONS Each lap around a stadium track
    is mile. How many laps would a runner have to
    complete to get a 26-mile workout?


71. COOKING A recipe calls for cup of flour, and the
    only measuring container you have holds cup. How
    many cups of flour would you need to add to follow
    the recipe?


72. LASERS A technician uses a laser to slice thin
    pieces of aluminum off the end of a rod that is -inch
    long. How many -inch-wide slices can be cut from
    this rod? (Assume that there is no waste in the
    process.)


73. UNDERGROUND CABLES Refer to the
    illustration and table on the next page.
    a. How many days will it take to install underground
    TV cable from the broadcasting station to the new
    homes using route 1?
    b. How long is route 2?
    c. How many days will it take to install the cable
    using route 2?

1

64

7

8

1

8

1

8

3

4

1

4

3

8

3

32

APPLICATIONS

39

25

a

13

10

b

25

7

a

30

21

b

2

3



7

9

3

4



5

7

9 

1

8

11 

1

6



28

15



21

10



15

32



5

64

a

16

35

ba

25

48

a b

11

21

ba

14

33

b

7

8

 6

13

16

 2



2

3

a

3

2

 b

4

5

a

3

2

b

7

10



20

21

7

6



9

49



1

15

  15

1

8

 8

5

8



2

9

3

16



1

9

240 Chapter 3 Fractions and Mixed Numbers