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Dividing fractions using factoring

Dividing fractions with factoring

This math skill teaches how to divide fractions by first flipping the divisor to find its inverse, then multiplying the fractions. It emphasizes factoring the numerators and denominators, simplifying by cancelling matching terms, and proceeding with multiplication of the simplified fractions.

Learn dividing fractions using factoring

Teaching Transcript

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Use factoring to help you divide these fractions

Dividing by a fraction is the same as multiplying by its inverse, so let's flip the fraction and multiply

Now let's find the prime factorization of each number

Multiplying fractions is the same as multiplying top and multiplying bottom

Now we can cancel matching terms on top and bottom

So our fraction simplifies to 10 over 9

Skill Practice

Dividing fractions with factoring

Test your understanding of dividing fractions using factoring by practicing it! Work through the below exercises to use it in practice.