Basic Mathematics for College Students

300 Chapter 3 Summary and Review

21. Fill in the blanks: To multiply two fractions, multiply
    the and multiply the.
    Then , if possible.


22. Translate the following phrase to symbols.You do
    not have to find the answer.

of

Multiply. Simplify the product, if possible.

23. 
    
    
    
    24. 
        
    
    
    
    


24. 
    
    
    
    26. 
        
    
    
    
    


25. 
    
    
    
    28. 
        
    
    
    
    


26. 
    
    
    
    30. 
        
    
    
    
    

Evaluate each expression.

31. 
    
    
    
    32. 
        
    
    
    
    


32. 
    
    
    
    34. a
    
    
    
    

2

3

b

2

a

2

5

b

3

a

5

2

b

3

a

3

4

b

2



6

7

a

7

6

3 a b

1

3

b

 4 a

9

16

b

3

5

 7



5

6

a

1

15

ba

18

25

b

9

16



20

27

2

5

a

7

9

b

1

2



1

3

2

3

5

6

35. DRAG RACING A top-fuel dragster had to make
    8 trial runs on a quarter-mile track before it was
    ready for competition. Find the total distance it
    covered on the trial runs.


36. GRAVITY Objects on the moon weigh only
    one-sixth of their weight on Earth. How much
    will an astronaut weigh on the moon if he weighs
    180 pounds on Earth?


37. Find the area of the triangular sign.


38. Find the area of the triangle shown below.

43 ft

15 ft

22 ft

8 in.

15 in.

SLOW

REVIEW EXERCISES

SECTION 3.3 Dividing Fractions

One number is the reciprocalof another if their

product is 1.

To find the reciprocal of a fraction,invert the

numerator and denominator.

DEFINITIONS AND CONCEPTS EXAMPLES

The reciprocal of is because.

Fraction Reciprocal

Invert

5

4





4

5

4

5



5

4

 1

5

4

4

5

To divide two fractions, multiply the first

fraction by the reciprocal of the second fraction.

Simplify the result, if possible.

Divide and simplify, if possible:

Multiply by the reciprocal of , which is.

Multiply the remaining factors in the numerator:

1  2  3  1 6.

Multiply the remaining factors in the

denominator: 5  1  1 5.



6

5

To simplify, remove the common

factors of 2 and 7 from the

numerator and denominator.



2

1

 2  3  7

1

5  7

1

 2

1

To prepare to simplify, write 4, 21, and

 35 in prime-factored form.

2  2  3  7

5  7  2

Multiply the numerators.

 Multiply the denominators.

4  21

35  2

21

2

2

21

4

35

4

35



2

21



4

35



21

2

4

35



2

21