Addition and Subtraction of Rational Expressions
Key Questions
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You can keep the same denominator and add or subtract the numerators.
a/c+b/c={a+b}/c anda/c-b/c={a-b}/c
I hope that this was helpful.
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The least common denominator is the least common multiple of denominators.
Example
Find the least common denominator to compute:1/3+1/4-1/6 Let us observe:
Multiples of
3 :3,6,9 , 12,15,...
Multiples of4 :4,8 ,12,16,...
Multiples of6 :6 ,12,18,... ,So, the least common multiple of
3 ,4 , and6 is12 .Hence,
1/3+1/4-1/6=4/12+3/12-2/6={4+3-2}/12=5/12
...
I hope that this was helpful. -
You need to put each term over a common denominator by multiplying each term by the appropriate form of
1 orn/n -
A/B + C/D = (AD + BC)/(BD) and
A/B - C/D = (AD - BC)/(BD)
Questions
Rational Equations and Functions
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Inverse Variation Models
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Graphs of Rational Functions
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Division of Polynomials
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Excluded Values for Rational Expressions
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Multiplication of Rational Expressions
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Division of Rational Expressions
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Addition and Subtraction of Rational Expressions
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Rational Equations Using Proportions
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Clearing Denominators in Rational Equations
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Surveys and Samples