Adding and subtracting rational expressions:

Adding and subtracting rational expressions: - PPT

To add or subtract rational expressions use the addition property:. Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1. If the expressions have the same (common) denominator, add or subtract the numerators, keep the same denominator, and simplify th.... ID: 619398

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Adding and subtracting rational expressions:

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Adding and subtracting rational expressions:
To add or subtract rational expressions use the addition property:
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
If the expressions have the same (common) denominator, add or subtract the numerators, keep the same denominator, and simplify the result.
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
Do the operations and simplify the result:
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
=1
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
=9
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
To add or subtract fractions with different denominators find the least common denominator (LCD), change each fraction so that it has that denominator then add or subtract
Simply stated, the LCD is the least number (expression) that all denominators will divide into evenly.
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
To find the LCD
factor each denominatorwrite the different factorsgive each factor the highest power to which it occursmultiply the results
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
0
Find the LCD for y²-16 and y²-8y+16
Factor eachwrite each factorgive each highest exponentmultiply results
(y+4)(y-4) and (y-4)²(y+4)(y-4)(y+4)(y-4)²(y+4)(y-4)²
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
1
Add :
LCD =
change each fraction to LCD
add/subtractsimplify
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
2
Add :
LCD =change each fraction to LCDadd/subtractsimplify
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
3
Add :
LCD =change each fraction to LCDadd/subtractsimplify
(Top isn’t factorable)
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
4
If the denominators have opposite factors, then change one of them using the 3 signs of a fraction rule.
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
5
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
6
1)
2)
3)
4)
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
7
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
8
(x+3)
(x-2)
(x+3) (x-5) (x-5) (x-2)
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1
9
(y – 2) (y+2) -(y-2)(y+2)
0
(x-1) (x-1)(x+1) (x+1)(x+1)
LCM: (x-1)(x+1)(x+1)
Taken from http://podcasts.shelbyed.k12.al.us/sclemons/files/2011/05/add-subtraction-rationals.ppt#1