

Add and Subtract Unlike Denominators
Presentation
•
Mathematics
•
10th - 11th Grade
•
Hard
Joseph Anderson
FREE Resource
8 Slides • 13 Questions
1
4.6 Add/Subtract Unlike denominators
Notes

2
Multiple Choice
8vu−v+8v6u−3v
16v7u−4v
8v7u−4v
8v7u+2v
16v7u+2v
3
Like Denominators are required to add/subtract Rational Expressions
These denominators are called LCD or least common Denominator.
How we find them is First identify what factors are in the denominator
4
Multiple Select
What factors are in the denominator of the following? Select ALL that apply.
5m+44+m−32m
5m+4
4
2m
m-3
5
5m+44+m−32m
Factors in the denomiator are 5m+4 and m-3
The LCD is (5m+4)(m-3)
We do this by multiplying by 1 aka m−3 m−3 and 5m+45m+4
Lets take this step by step
6
Multiple Choice
Lets multiply, Only distribute the NUMERATOR (top)
m−3 m−3⋅5m+44(m−3)(5m+4)4m−12
m−34m−12
5m+44m−12
5m+4m−3
m−34
7
Multiple Choice
Now lets do the other fraction. Remember only distribute the Numerator.
m−32m⋅5m+45m+410m2+8m
5m+42m
(m−3)(5m+4)10m2+8m
m−35m+4
8
So you found that the two expressions are now
(m−3)(5m+4)4m−12+(m−3)(5m+4)10m2+8mNow we can add these together by combining their numerators
9
Multiple Choice
Simplify.
m−13m+3
(m−3)(5m+4)10m2+12m−12
6m+14+2m
5(m−6)21m−56
10
Now lets try a subtraction
35x−3x(x+6)3x
Pay attention if you can sipmplify here do it.
11
Multiple Select
What factors are in the denominator?
35x−3x(x+6)3x3
x
x+6
5x
12
Why isn't x a factor in the denominator?
Becuase 3x is in the numerator and denominator of the second fraction so it cancels out.
So our LCD is 3(x+6)
Now lets multiply
13
Multiple Choice
x+6x+6⋅35x
3x+6
x+65x
3(x+6)5x+30
3(x+6)5x2+30x
14
Multiple Choice
Remember that 3x canceled out, which equals 1.
x+61⋅33
3(x+6)3
3(x+6)9x
x+63
x+61
15
What does the problem look like now?
3(x+6)5x2+30x−3(x+6)3
16
Multiple Choice
3(x+6)5x2+30x−3(x+6)3
3(x+6)5x2+31x+4
25x2+31x+6
1−x2−6xx
3(x+6)5x2+30x−3
17
Lets try some!
18
Multiple Choice
19
Multiple Choice
20
Multiple Choice
A.
B.
C.
D.
21
Multiple Choice
Simplify the expression.
4.6 Add/Subtract Unlike denominators
Notes

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