AddingSubtracting RE with Like Denominators(1).ppt

ADDING AND SUBTRACTING RATIONAL ALGEBRAIC EXPRESSIONS

1. Addition/Subtraction Addition/Subtraction
of Rational Expression of Rational Expression
with Like Denominatorswith Like Denominators

2. The learner performs operations on
rational algebraic expressions.
(M8AL-Ic-d-1)
 
A. Recall addition and subtraction of
fraction with like denominators.
B. Add/Subtract Rational Expression with
like denominators.

3. 14
4
14
3

14
7

2
1
Review : Find each sum or difference
2
1

10
5
10
9

10
4

5
2

2
5

4. 32
9
32
6



 xx
x
3
32
96




x
x
Find each sum or difference. Write in
simplest form
32
)32(3




x
x
Combine the
numerators
Factor using
CMF
Cancel common
factor

5. 2
16
2
9

22



 y
yy
y
y
2
)16(9

22



y
yyy
Find each sum or difference. Write in
simplest form
Apply the distributive
property
Simplify by
combining
like terms
2
169

22



y
yyy
2
168

2



y
yy

6. y8
Factor using
CMF
2
168

2



y
yy
2
)2(8




y
yy
Cancel common
factor

7. ACTIVITY ACTIVITY 
Find the sum or difference.
12
72
12
36
.)1





m
m
m
m
13
1
13
9
.)2
2


 yy
y

8. Answers Answers 
.)1
.)2
4
13y