How Do You Divide Quotients of Monomials?

How Do You Divide Quotients of Monomials?

Note:

Dividing fractions made up of monomials is easier than you might think! First, turn it into a multiplication problem by multiplying by the reciprocal of the divisor. Then, you can cancel common factors in the numerator and denominator to make things easier to work with. Finally, multiply to get your final answer! This tutorial will show you how.

Keywords:

  • problem
  • rational
  • rational expression
  • divide
  • reciprocal
  • multiply
  • reduce
  • factor
  • fraction
  • algebraic fraction
  • variable
  • monomial
  • quotient
  • quotient of powers
  • division
  • cancel
  • divide fractions
  • divide rational expressions

Background Tutorials

  • Fraction Basics

      • 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.

  • Dividing Real Numbers

      • 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!

  • Monomials

      • What's a Monomial?What's a Monomial?

      What's a Monomial?

      If you learn about algebra, then you'll see monomials everywhere! Watch this tutorial and learn what makes a monomial, and what does not.

  • Factors

      • 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!

  • Simplifying Rational Expressions

      • How Do You Reduce Common Factors in a Rational Expression?How Do You Reduce Common Factors in a Rational Expression?

      How Do You Reduce Common Factors in a Rational Expression?

      Multiplying rational expressions? Want to cancel common factors out to make things easier to work with? In this tutorial, you'll see how to cancel out common factors in order to find the simplified product of two rational expression. Check it out!

Further Exploration