Basic Mathematics for College Students

3. and are examples of fractions.


4. In the complex fraction , the

is and the is

5. What operations are involved in this expression?


6. a. To evaluate , what operation should be
   performed first?
   b. To evaluate , what operation should
   be performed first?


7. Translate the following to numbers and symbols.Yo u
   do not have to find the answer.
   Add to the difference of and.


8. Refer to the trapezoid shown below. Label the length
   of the upper base inches, the length of the lower
   base inches, and the height inches.


9. What division is represented by this complex
   fraction?


10. Consider:

a. What is the LCD for the fractions in the

numerator of this complex fraction?

b. What is the LCD for the fractions in the

denominator of this complex fraction?

2

3



1

5

1

2



4

5

2

3

1

5

(^5 122 23)
(^3 12)
1
10
2
(^13)
2
15
7
8 ^1
1
3 
1
42
2
7
8 ^1
1
321
1
42
5 a 6

1

3

ba

1

4

b

3

CONCEPTS

2

5



1

4

.

2

5



1

4

2

5



1

4

2

5



1

4

7

8



2

5

1

2



1

3

1

2

3

4

11. Write the denominator of the following complex
    fraction as an improper fraction.


12. When this complex fraction is simplified, will the
    result be positive or negative?

Fill in the blanks to complete each solution.

13.

14.

Evaluate each expression.See Example 1.

15. 
    
    
    
    16. 
        
    
    
    
    


16. 
    
    
    
    18. 
        
    
    
    
    

1

5



1

9

a

3

2

b

1 3

6



9

8

a

2

3

b

3

1

4



8

27

a

3

2

b

3 2

4



2

5

a

1

2

b

2

GUIDED PRACTICE



1



1 

1

2 

1

 3



1 

8  3



1

8



1

8

3

4



1

8





12



7

12



12



7

12



1

6





7

12



1

7

12



1

2



1

3



7

12



1  1

2 

NOTATION



2

3

3

4

1

8



3

16

5

3

4

3.7 Order of Operations and Complex Fractions 291