# SAT Math : How to add rational expressions with different denominators

## Example Questions

### Example Question #1 : Rational Expressions

Simplify the expression.

Possible Answers:

Correct answer:

Explanation:

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 : Rational Expressions

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

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).