Rational expressions with like denominators are added or subtracted in the same way as number fractions with like denominators. In the following example, two steps are used to subtract 1/10 from 1/10.
You can use this same method to add or subtract rational
expressions with like denominators. Recall that in rational expressions, both
the numerator and denominator can have variables.
Find each sum or difference.
When adding or subtracting fractions, the result is not
always in simplest form. To find the simplest form, divide the numerator and the
denominator by the greatest common factor (GCF).
You can use similar steps to combine rational expressions.
Example
Find each sum or difference. Write in simplest form.
Example
Find each sum or difference. Write in
simplest form.
Sometimes you must factor in order to simplify the sum or
difference of rational expressions.
Example
Find each sum or difference. Write in simplest form.
You can solve some geometry problems by adding rational
expressions.
Geometry
Link
10.
Find
the perimeter of rectangle ABCD.
Alternative Solutions:
The
perimeter of rectangle ABCD is 4 centimeters.
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