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How Do You Simplify an Algebraic Fraction by Canceling Common Factors?

Note:

Want some practice simplifying algebraic fractions? Then check out this tutorial! In this tutorial, you'll see how to completely factor the numerator and denominator and then cancel common factors in order to simplify. Take a look!

Keywords:

  • problem
  • fraction
  • algebraic fraction
  • variable
  • variables
  • simplify
  • cancel
  • factor
  • common factor
  • common factors
  • factorization
  • prime factorization
  • reduce
  • reduce fractions
  • simplify fractions
  • numerator
  • denominator
  • monomial
  • monomials
  • divide
  • quotient

Background Tutorials

  • Fraction Basics

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      • |
        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.

  • Factors

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      • |
        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 Algebraic Fractions

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      • |
        What's an Algebraic Fraction?

      What's an Algebraic Fraction?

      You'll likely to encounter algebraic fractions while learning about algebra, so it would be a good idea to know what they are. In this tutorial, you'll learn what kind of fractions are algebraic fractions. Check it out!

Further Exploration

  • Rules of Exponents

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      • |
        What's the Quotient of Powers Rule?

      What's the Quotient of Powers Rule?

      Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!