 # Simplify Rational Expressions

Common Core: HSA-APR.D.7

Related Topics:
Common Core (Algebra)
Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

### Suggested Learning Targets

• Simplify rational expressions by adding, subtracting, multiplying, or dividing.
• Understand that rational expressions are closed under addition, subtraction, multiplication, and division (by a nonzero expression).
Simplifying Rational Expressions
This video explains how to simplify rational expressions.
Ex 1: Simplifying Rational Expressions - Monomials
The video provides examples of simplifying rational expressions. These examples have monomial numerators and denominators.

Ex 2: Simplify Rational Expressions
This video provides examples of how to simplify rational expressions. Ex 3: Simplify Rational Expressions
This video provides examples of how to simplify rational expressions. Ex 4: Simplify Rational Expressions
This video provides examples of how to simplify rational expressions. Rational Expressions: Writing in Lowest Terms - Ex 1
The steps are first factor the rational expressions and then cancel to write in lowest terms. The video also discusses the domain of the expressions obtained. Rational Expressions: Writing in Lowest Terms
In this example, we reduce a rational expression involving a cubic polynomial and a quadratic polynomial. Simplifying Rational Expressions

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  