6th Grade Math Textbook, Progress

8-11

Miguel cuts a piece of wood into 


2

3 
-foot-long

pieces. If the piece of wood is 6 ft long, how many


^23 
-ft pieces in all will he cut?

To find how many pieces, write and evaluate a

division expression:

s
^23 
, when s6.

s


2

3 


6 


2

3 
 

2

3 

 



  9

s 9

Miguel will cut nine 
^23 
-foot-long pieces of wood.

Study these examples.

9

1

3 
 3

1 
 1

3

2

6

1

6

1

Multiplication and Division

Expressions with Fractions

Let srepresent the

length of the original

piece of wood.

3

1

Replace the variable with

the given value.

Multiply by the reciprocal of the

divisor. Then simplify if possible.

Multiply the numerators.

Then multiply the denominators.

Write the quotient in simplest form.

Evaluate:

r 7 s, when r and s.

r 7  s  

    

  

 18

54

3

52

3

2

3

13 
 4

3 
 1

2

3

12

5

65

9

2

3

5

12

65

9

2

3

2

9

5

12

2

3

2

9

13

3 1

4

Evaluate:

, when t6.



6  7  

 

^34 5 

 71 ^3435

1

7

34

5

7

1

34

5

4

5

7

t

7

4

5

t

7

value

(^645)
value
fraction bar
means 
0 1 2 3 6
S
4 5
2
3
2
3
1.1
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