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DefinitionRational Expressions 
The definition of the term "Rational Expressions." 

MATH EXAMPLE: Rational Expressions: Example 01 
Example 1: Combining rational expressions of the form 1/a + 1/b. 

MATH EXAMPLE: Rational Expressions: Example 02 
Example 2: Combining rational expressions of the form 1/a  1/b. 

MATH EXAMPLE: Rational Expressions: Example 03 
Example 3: Combining rational expressions of the form 1/(ax) + 1/b, under the following conditions: a = 1, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 04 
Example 4: Combining rational expressions of the form 1/(ax)  1/b, under the following conditions: a = 1, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 05 
Example 5: Combining rational expressions of the form 1/(ax) + 1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 06 
Example 6: Combining rational expressions of the form 1/(ax)  1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 07 
Example 7: Combining rational expressions of the form 1/(ax) + 1/b, under the following conditions: a = b. 

MATH EXAMPLE: Rational Expressions: Example 08 
Example 8: Combining rational expressions of the form 1/(ax)  1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 09 
Example 9: Combining rational expressions of the form a/(bx) + c/(dx), under the following conditions: a = c = 1, b > 0, d > 0. 

MATH EXAMPLE: Rational Expressions: Example 10 
Example 10: Combining rational expressions of the form a/(bx)  c/(dx), under the following conditions: a = c = 1, b > 0, d > 0. 

MATH EXAMPLE: Rational Expressions: Example 11 
Example 11: Combining rational expressions of the form a/(bx) + c/(dx), under the following conditions: a > 0, b > 0, c > 0, d > 0. 

MATH EXAMPLE: Rational Expressions: Example 12 
Example 12: Combining rational expressions of the form a/(bx)  c/(dx), under the following conditions: a > 0, b > 0, c > 0, d > 0. 

MATH EXAMPLE: Rational Expressions: Example 13 
Example 13: Combining rational expressions of the form 1/(x + a) + 1/b, under the following conditions: a = 1, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 14 
Example 14: Combining rational expressions of the form 1/(x + a)  1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 15 
Example 15: Combining rational expressions of the form 1/(x  a) + 1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 16 
Example 16: Combining rational expressions of the form 1/(x  a) + 1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 17 
Example 17: Combining rational expressions of the form 1/(x  a)  1/b, under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 18 
Example 18: Combining rational expressions of the form 1/(x + a) + 1/(x + b), under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 19 
Example 19: Combining rational expressions of the form 1/(x + a)  1/(x + b), under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 20 
Example 20: Combining rational expressions of the form 1/(x  a) + 1/(x + b), under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 21 
Example 21: Combining rational expressions of the form 1/(x + a) + 1/(x  b), under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 22 
Example 22: Combining rational expressions of the form 1/(x  a) + 1/(x  b), under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 23 
Example 23: Combining rational expressions of the form 1/(x + a)  1/(x + b), under the following conditions: a > 0, b > 0. 

MATH EXAMPLE: Rational Expressions: Example 24 
Example 24: Combining rational expressions of the form 1/(x  a)  1/(x + b), under the following conditions: a > 0, b > 0. 