This document contains notes from an algebra lesson on simplifying rational expressions. It includes examples of factoring polynomials in both the numerator and denominator of rational expressions and then dividing out common factors. Key steps outlined are to factor the top and bottom of a rational expression when possible and then divide out or "slash out" any common factors. Examples provided demonstrate simplifying rational expressions by factoring and dividing out common factors. The lesson notes also include sample homework problems for students to practice this skill.