How Do You Multiply Quotients of Monomials by Canceling Factors?

How Do You Multiply Quotients of Monomials by Canceling Factors?

Note:

Multiplying fractions made up of monomials is easier than you might think! You can cancel common factors in the numerator and denominator to make things easier to work with. Then just multiply to get your final answer! This tutorial will show you how.

Keywords:

  • problem
  • rational
  • rational expression
  • multiply
  • simplify
  • cancel
  • reduce
  • factor
  • fraction
  • algebraic fraction
  • monomial
  • variable
  • common factor
  • quotient of powers
  • variables
  • divide
  • multiply fractions
  • multiplication
  • multiply rational expressions

Background Tutorials

  • 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.

  • Evaluating Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Factors and 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.

Further Exploration

  • Simplifying Monomial Expressions

  • Multiplying Rational Expressions

      • How Do You Multiply Quotients of Monomials?How Do You Multiply Quotients of Monomials?

      How Do You Multiply Quotients of Monomials?

      Multiplying together two monomials isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two monomials. Then, you'll see how to divide the numerator and denominator by the greatest common factor (GCF) in order to simplify and get your answer!

  • Dividing Rational Expressions

      • How Do You Divide Quotients of Monomials?How Do You Divide Quotients of Monomials?

      How Do You Divide Quotients of Monomials?

      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.