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Fraction simplification through factoring

Teaching Transcript

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Let's simplify these fractions with factoring

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

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

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.