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There are 10 lessons in this math tutorial covering Rational Expressions. The tutorial starts with an introduction to Rational Expressions and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Rational Expressions. you can access all the lessons from this tutorial below.
In this Math tutorial, you will learn:
- What are rational expressions?
- What do rational expressions have in common with rational numbers?
- What are relatively prime factors?
- How to convert an algebraic fraction into a rational expression
- What the disallowed values are in a rational expression
- How to simplify the rational expressions
- How to multiply/divide rational expressions
- How to add/subtract rational expressions
- How to calculate the Least Common Multiple (LCM) of two or more monomials
- What are complex fractions? How to deal with them?
- How to calculate the value of recurring complex fractions
Introduction
As we saw in the previous tutorial, not all expressions resulting from the division of two polynomials are polynomials. This is because the division operation does not possess the closure property. (Recall the division of numbers, where the division of two integers does not always give an integer as a result. For example, 30 ÷ 8 = 3.75, which is not an integer).
Therefore, we must use a different approach when dealing with the division of two polynomials. The expression obtained due to this operation is called rational expression, which we are going to discuss extensively in this tutorial.
Please select a specific "Rational Expressions" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.
Polynomials Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 11.4 | Rational Expressions | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 11.4.1 | A Recap of Rational Numbers | | |
| 11.4.2 | The Definition of Rational Expressions | | |
| 11.4.3 | The Disallowed Values in Rational Expressions | | |
| 11.4.4 | How to Simplify Rational Expressions | | |
| 11.4.5 | The Multiplication of Rational Expressions | | |
| 11.4.6 | The Division of Rational Expressions | | |
| 11.4.7 | The Addition and Subtraction of Rational Expressions | | |
| 11.4.8 | How to find the Least Common Multiple (LCM) in Rational Expression | | |
| 11.4.9 | Understanding Complex Fractions | | |
| 11.4.10 | How to find the Value of Recurring Complex Fractions | | |
Whats next?
Enjoy the "Rational Expressions" math tutorial? People who liked the "Rational Expressions" tutorial found the following resources useful:
- Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
- Polynomials Video tutorial: Rational Expressions. Watch or listen to the Rational Expressions video tutorial, a useful way to help you revise when travelling to and from school/college
- Polynomials Revision Notes: Rational Expressions. Print the notes so you can revise the key points covered in the math tutorial for Rational Expressions
- Polynomials Practice Questions: Rational Expressions. Test and improve your knowledge of Rational Expressions with example questins and answers
- Check your calculations for Polynomials questions with our excellent Polynomials calculators which contain full equations and calculations clearly displayed line by line. See the Polynomials Calculators by iCalculator™ below.
- Continuing learning polynomials - read our next math tutorial: The Definition of Monomials and Polynomials
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