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Fraction simplification through factoring

This math skill teaches how to simplify fractions by factoring out and cancelling common terms in the numerator and denominator to find the simplest form.

Skill Practice

Fraction simplification through factoring

Test your understanding of fraction simplification through factoring by practicing it! Work through the below exercises to use it in practice.

  • Factoring - Simplifying Fraction Multiplication with Factors - Composite to Factored
  • Factoring - Simplifying Fraction Multiplication with Factors - Composite to Simplified
  • Factoring - Simplifying Fraction Multiplication with Factors - Factored to Simplified
  • Factoring - Simplifying Fractions with Factors - Composite to Bracketed Factors
  • Factoring - Simplifying Fractions with Factors - Composite to Factored
  • Factoring - Simplifying Fractions with Factors - Composite to Simplified
  • Factoring - Simplifying Fractions with Factors - Factored to Simplified
  • Factoring - Simplifying Multiplication with Factors - Bracketed Factors to Composite
  • Factoring - Simplifying Multiplication with Factors - Composite to Bracketed Factors
  • Factoring - Simplifying Multiplication with Factors - Composite to Factors
  • Factoring - Simplifying Multiplication with Factors - Factors to Composite
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Teaching Transcript

🎙️

Let's simplify these fractions with factoring

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First we expand all factors, so it becomes 3 times 3 times 2 times 7, over 3 times 2 times 7 times 7

🎙️

Then we can cancel matching factors on top and bottom, cancelling a three, a two, and a seven

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Only 3 over 7 is left, so that is our answer