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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.

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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

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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

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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