11-7 rational expressions with unlike denominators algebra 1 glencoe mcgraw-hilllinda stamper
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![Page 1: 11-7 Rational Expressions with Unlike Denominators Algebra 1 Glencoe McGraw-HillLinda Stamper](https://reader036.vdocuments.net/reader036/viewer/2022082422/56649edb5503460f94beb773/html5/thumbnails/1.jpg)
11-7 Rational Expressions with Unlike Denominators
Algebra 1 Glencoe McGraw-Hill Linda Stamper
![Page 2: 11-7 Rational Expressions with Unlike Denominators Algebra 1 Glencoe McGraw-HillLinda Stamper](https://reader036.vdocuments.net/reader036/viewer/2022082422/56649edb5503460f94beb773/html5/thumbnails/2.jpg)
As with fractions, to add or subtract rational expressions with unlike, or different denominators, you must rewrite with a common denominator before adding or subtracting.
83
21
21
83
44
84
83
87
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x2
2x
2x1x2
2x
2x1
22 x
2x1
x
2x
2x
2x12x
x1
2
2m
2m33m2
3m2
2m
2m3
23m
2m23m
m69
23m
m69m2
3m
9m4 2
xx
mm
33
3m
9m41 2
3m
9m4 2
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You must place the
subtracted quantity in
parentheses!
The problem.216x
x420x3
Write the denominators as prime factors.
x5223
Multiply numerator and denominator by factors needed to create a common denominator.
x22x22
55
Multiply to write the expression with a common denominator. Simplify.
xx2222
x4
x5223
xx2222x4
280x12x
280x
x52012x
280x
x52012x
80x
2017x 2
280x
x520
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You must place the
subtracted quantity in
parentheses!
The problem.216x
x420x3
Write the denominators as factors. x54
3
Multiply numerator and denominator by factors needed to create a common denominator.
x4x4 5
5
Multiple to write the expression with a common denominator. Simplify.
xx44
x4
x543
xx44x4
280x
12x280x
x520
280x
x52012x
280x
x52012x
80x
2017x 2
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Write in simplest form.
x2
x
12
2x
1x2 x
x
22 x
2x
x
1
2x
2x1
x
12x 2
Example 1
Example 2
32 9x
1
15x
3
xx533
xx533
3x3x
xxx331
55
345x
9x345x
5
45x
59x 3
xxx331
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Example 3
28x
1x6x7
x327
x327 x22
x22
xx2221x
33
224x28x
224x
3x3
xx222
1x
224x
33x28x
224x
3x328x
24x
325x 2
Write in simplest form. Example
41x
11x
1
1x1
1x
1x 1x
1
1x
1x
1x1x
1x1x
1x1xx2
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Example 5
x1
6x3
6x3 x
xx1
6x
6x
6xx3x 6xx
6x
6xx6x3x
6xx64x
6xx32x2
Write in simplest form. Example
62x2x
5x5x
5x
5x
2x2x
2x2x
5x5x
2x5x10x7x2
2x5x10x7x2
2x5x
10x7x10x7x 22
2x5x10x7x10x7x 22
2x5xx14
2x5xx14
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Example 7 Write in simplest form.
23 10x
1
4x
4x3
xxx22
4x3
55
xx521
xxx22
4x3
xx52
1
x2x2
3x20
x20153x02
2x
3x20
15x18
x20
5x63 3
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11-A6 Page 617-619 # 22–39,43-46,57,64-65.