Basic Mathematics for College Students

Fill in the blanks.

1. A number, such as , contains a
   whole-number part and a fractional part.


2. We can add (or subtract) mixed numbers quickly
   when they are written in form by working
   in columns.

178

VOCABULARY 3. To add (or subtract) mixed numbers written

in vertical form, we add (or subtract) the

separately and the numbers

separately.

4. Fractions such as , that are greater than or equal to
   1, are called fractions.

11

8

SECTION 3.6 STUDY SET

1. 
   
   
   
   2. 
      
      
      
      3. 
         
         
         
         4. 
            
            
            
            5. 
               
               
               
               6. 
                  
                  
                  
                  7. 
                     
                     
                     
                     8. 9.2,170 321 10. 41 18 oz 11. 2 14 yd^3
                     
                     
                     
                     
                  
                  
                  
                  
               
               
               
               
            
            
            
            
         
         
         
         
      
      
      
      
   
   
   
   

4 1315  1 65 3563023 94 2324 157 59 126 1324 4 125 82 1613

ANSWER TO SELF CHECKS

3.6 Adding and Subtracting Mixed Numbers 279

EXAMPLE (^11) Baking How much butter is
left in a 10-pound tub if pounds are used for a wedding
cake?
Analyze

• The tub contained 10 pounds of butter.


• pounds of butter are used for a cake.


• How much butter is left in the tub?

Form The key phrase how much butter is leftindicates subtraction.
We translate the words of the problem to numbers and symbols.

is equal to minus

 10 

SolveTo find the difference, we will write the numbers in vertical form and
borrow 1 (in the form of ) from 10.

In the fraction column, we need to have a fraction from which to subtract.

Subtract the fractions separately.

Subtract the whole numbers separately.

StateThere are pounds of butter left in the tub.

CheckWe can check using addition. If pounds of butter were used and
pounds of butter are left in the tub, then the tub originally contained
2 23  7 13  9 33  10 pounds of butter. The result checks.

(^2 237 13)
(^713)

10

(^93)
3
 2

2

3

7

1

3

10  10

(^93)
3


 2

2

3

  2

2

3



1

3

  

2

3

3

3

2

2

3

The amount of

butter left in

the tub

the amount of

butter used for

the cake.

the amount

of butter in

one tub

The amount of

butter left in

the tub

(^2 23)
(^2 23)
Self Check 11
TRUCKINGThe mixing barrel
of a cement truck holds 9 cubic
yards of concrete. How much
concrete is left in the barrel if
cubic yards have already
been unloaded?
Now TryProblem 95
(^6 34)
Image copyright Eric Limon, 2009. Used under license from Shutterstock.com