PSAT Math : How to add rational expressions with different denominators

Example Questions

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

Simplify the expression.

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.