SAT Math : How to add rational expressions with different denominators

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 : Rational Expressions

Simplify the expression.

Possible Answers:

Correct answer:


To add rational expressions, first find the least common denominator. Because the denominator of the first fraction factors to 2(x+2), it is clear that this is the common denominator. Therefore, multiply the numerator and denominator of the second fraction by 2.

This is the most simplified version of the rational expression.


Example Question #1 : How To Add Rational Expressions With Different Denominators

Simplify the following:

Possible Answers:

Correct answer:


To simplify the following, a common denominator must be achieved. In this case, the first term must be multiplied by (x+2) in both the numerator and denominator and likewise with the second term with (x-3).

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