30 alGebra De mystif ieD

4.

)

24

(^5524)
4
20
4
24
5
(^445)
−

5. 
   

   )
   26
   (^7726)
   3
   21
   5
   26
   7 3
   (^57)
   −

   
   

Mixed Number Arithmetic

We can add (or subtract) two mixed numbers in one of two ways. We will

compute^4323 +^12 both ways. One strategy is to add the whole numbers and then

to add the fractions.

434 2

3

3 1

2

43 2

3

1

2

(^23) += 12  +++=+++






 ()




==+ +=+=++ =




7 4
6
3
6
7 7
6
711
6
(^816)
The other strategy is to convert the mixed numbers in improper fractions before
adding them.
4314
3
7
2
28
6
21
6
49
6
(^23) += (^12) += +== (^816)
PRACTICE
Find the sum or difference.

1. 2137 + 21


2. 21165 + 1211


3. 4156 +^23

PRACTICE

Find the sum or difference.