High School Math : Simplifying Rational Expressions

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Adding And Subtracting Rational Expressions

Simplify 

Possible Answers:

Correct answer:

Explanation:

This is a more complicated form of

Find the least common denominator (LCD) and convert each fraction to the LCD, then add the numerators.  Simplify as needed.

which is equivalent to

Simplify to get

Example Question #103 : Intermediate Single Variable Algebra

Divide and simplify the following rational expression:

Possible Answers:

Correct answer:

Explanation:

Multiply by the reciprocal of the second expression:

Factor the expressions:

Remove common terms:

Example Question #104 : Intermediate Single Variable Algebra

Add and simplify the following rational expression:

Possible Answers:

Correct answer:

Explanation:

Begin by multiplying the left term by :

 

Simplify:

Example Question #105 : Intermediate Single Variable Algebra

Simplify the following rational expression:

Possible Answers:

Correct answer:

Explanation:

Begin by combining the terms in the denominator:

Multiply by the reciprocal of the denominator:

Remove like terms:

Example Question #106 : Intermediate Single Variable Algebra

Simplify the following rational expression:

Possible Answers:

Correct answer:

Explanation:

Create a common denominator of  in both the numerator and denominator:

Multiply by the reciprocal of the denominator:

Simplify:

Remove common terms:

Example Question #107 : Intermediate Single Variable Algebra

Multiply and simplify the following rational expression:

Possible Answers:

Correct answer:

Explanation:

Factor the expression:

 

Remove like terms:

Example Question #1 : Simplifying Rational Expressions

Divide and simplify the following rational expression:

Possible Answers:

Correct answer:

Explanation:

Multiply by the inverse of the denominator:

 

Factor:

Remove like terms:

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