Lawrence Hall of Science
The Math Page: Skill in Algebra: Adding Algebraic Fractions
Here is a site that clearly and thoroughly explains adding algebraic fractions (rational expressions) both with common denominators and with different denominators. There are example problems solved, problems for the student to attempt,...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Multiplying & Dividing Algebraic Fractions
Here is a site that clearly and thoroughly explains multiplying and dividing algebraic fractions (rational expressions). There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Purple Math
Purplemath: Rational Expressions: Finding the Domain
Use this Purplemath lesson to learn everything you've ever wanted to know about simplifying rational expressions. You'll find great explanations and examples on this page.
Purple Math
Purplemath: Multiplying Rational Expressions
Not only will you learn how to multiply and divide rational expressions, but Purplemath shows you what common mistakes are made so you can avoid them.
Paul Dawkins
Paul's Online Notes: Rational Expressions: Practice Problems
Practice exercise reviews how to reduce a rational expression to lowest terms and how to add, subtract, multiply and divide rational expressions.
Math Planet
Math Planet: Division of Polynomials
Gain an understanding of how to divide polynomials by taking a look at examples.
Paul Dawkins
Paul's Online Notes: Limits at Infinity, Part I: Practice Problems
Provides practice problems that review limits at infinity concentrating on polynomials and rational expressions and a brief look at horizontal asymptotes.
Math Planet
Math Planet: Simplify Rational Expression
An algebraic expression where both the numerator and the denominator are polynomials e.g.(x+3) / x is called a rational expression. Since the denominator can't be zero there are values of x which are excluded from the rational...
Math Planet
Math Planet: Solving Rational Expressions
An equation that contains at least one rational expression is called a rational equation. You solve a rational equation as you solve any other equation.
Illustrative Mathematics
Illustrative Mathematics: a.apr Combined Fuel Efficiency
The purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context, in this case, the fuel efficiency of a car. A-APR.D.6.
Illustrative Mathematics
Illustrative Mathematics: A Apr Egyptian Fractions Ii
In this task, young scholars will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a...
Khan Academy
Khan Academy: Divide Polynomials With Remainders
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
Khan Academy
Khan Academy: Algebra Ii: Divide Polynomials by Linear Expressions
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....
Khan Academy
Khan Academy: Divide Polynomials by Monomials (With Remainders)
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
Khan Academy
Khan Academy: Intro to Adding & Subtracting Rational Expressions
Learn how to add or subtract two rational expressions into a single expression.
Khan Academy
Khan Academy: Multiply and Divide Rational Expressions
Check your understanding of how to multiply and divide rational expressions with these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Add and Subtract Rational Expressions: Like Denominators
Check your understanding of how to add and subtract rational expressions that have like denominators with these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive...
Khan Academy
Khan Academy: Add and Subtract Rational Expressions: Factored Denominators
Check your understanding of how to add and subtract rational expressions with these problems where the denominators have factors. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Khan Academy
Khan Academy: Multiply and Divide Rational Expressions (Advanced)
Check your understanding of how to multiply and divide rational expressions with these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Multiply and Divide Rational Expressions (Basic)
Check your understanding of how to multiply and divide rational expressions with these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Add and Subtract Rational Expressions
Check your understanding of how to add and subtract rational expressions with these problems. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Add and Subtract Rational Expressions: Unlike Denominators
Add and subtract rational expressions with relatively prime denominators by manipulating them to have the same denominators. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Khan Academy
Khan Academy: Algebra Ii: Dividing Rational Expressions
Learn how to find the quotient of two rational expressions.
Khan Academy
Khan Academy: Multiplying Rational Expressions
Learn how to find the product of two rational expressions.