How Do You Divide Two Rational Expressions?

How Do You Divide Two Rational Expressions?

Note:

Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!

Keywords:

  • problem
  • rational expression
  • fraction
  • algebraic fraction
  • polynomial
  • divide
  • simplify
  • reciprocal
  • reciprocal rule of division
  • divisor
  • like terms
  • cancel
  • cancel out
  • multiply
  • numerator
  • denominator

Background Tutorials

  • Dividing Fractions

      • What's the Reciprocal Rule of Division?What's the Reciprocal Rule of Division?

      What's the Reciprocal Rule of Division?

      When you divide fractions, the trick is to rewrite division as a multiplication. But the truth is that you can always rewrite division as a multiplication, and in this tutorial you'll see the rule that makes that possible!

  • Factors and Greatest Common Factor

      • What's a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

  • Fractions

      • What's a Numerator and What's A Denominator?What's a Numerator and What's A Denominator?

      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Vertical and Horizontal Lines

      • How Do You Graph a Horizontal Line?How Do You Graph a Horizontal Line?

      How Do You Graph a Horizontal Line?

      To graph a horizontal line that goes through a given point, first plot that point. Then draw a straight line left and right that goes through the point, and you're done! To see this process in action, watch this tutorial!

  • Factoring Strategies

  • From Factoring to Solving

      • How Do You Solve a Quadratic Equation by Factoring?How Do You Solve a Quadratic Equation by Factoring?

      How Do You Solve a Quadratic Equation by Factoring?

      One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!

  • Simplifying Rational Expressions

      • How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?

      How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?

      Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!

      • How Do You Find Excluded Values?How Do You Find Excluded Values?

      How Do You Find Excluded Values?

      Excluded values are values that will make the denominator of a fraction equal to 0. You can't divide by 0, so it's very important to find these excluded values when you're solving a rational expression. Follow along with this tutorial and learn how to find these excluded values!

      • What's a Rational Expression?What's a Rational Expression?

      What's a Rational Expression?

      Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.

      • What's an Excluded Value?What's an Excluded Value?

      What's an Excluded Value?

      Excluded values are simply that: values that are excluded, or left out. These are values that will

Further Exploration