1. 
   
   
   
   2. 
      
      
      
      3. 4.61 in. 5. m^2 6. 7. 8.
         34
         15
         
         7
         10
      
      
      
      
   
   
   
   

4

9

95

5

6

2

11

24



1

9

31

32

ANSWERS TO SELF CHECKS

290 Chapter 3 Fractions and Mixed Numbers

Self Check 8

Simplify:

Now TryProblem 39

5 

3

4

1

7

8

EXAMPLE 8

Simplify:

StrategyRecall that a fraction bar is a type of grouping symbol. We will work

above and below the main fraction bar separately to write as a single fraction

and as an improper fraction.

WHYThe numerator and the denominator of the complex fraction must be

written as single fractions before dividing.

Solution

In the numerator, write 7 as. The LCD for the numerator is 3.

Build so that it has a denominator of 3.

In the denominator, write as the improper fraction.

Multiply in the numerator.

In the numerator of the complex fraction, subtract the

numerators: 21 2  19. Then write the difference over the

common denominator 3.

Multiply the first fraction by the reciprocal of , which is.

Multiply the remaining factors in the numerator.

 (^) Multiply the remaining factors in the denominator.

38

29

To simplify, factor 6 as 2 3. Then remove the common

 (^) factor of 3 from the numerator and denominator.
19 # 2 # 3
1
3
1

29

Multiply the numerators.
 (^) Multiply the denominators.
19 # 6
3 # 29
6
29
29
 6

19

3

#^6

29

Write the division indicated by the main

 (^) fraction bar using a  symbol.

19

3



29

6



19

3

29

6



21

3



2

3

29

6

29

(^4 6)
5
6
7
1
7
1

7 

2

3

4

5

6



7

1



3

3



2

3

29

6

(^4 56)

7 ^23

7 

2

3

4

5

6

Fill in the blanks.

1. We use the order of rule to evaluate
   expressions that contain more than one operation.

VOCABULARY 2. To evaluate a formula such as , we

substitute specific numbers for the letters, called

, in the formula and find the value of the

right side.

A^12 h(ab)

SECTION 3.7 STUDY SET