This math skill teaches how to divide mixed fractions by first converting them into improper fractions, then multiplying by the reciprocal of the divisor fraction to find the result.
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Let's divide these two mixed fractions
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For division of fractions, we're best to work with improper fractions, so let's convert our wholes into fractions. 3 wholes is 15 fifths
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So our left side becomes 15 plus 2, or 17 fifths. On the right side, 2 wholes is 6 thirds.
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So the right side becomes 6 plus 1, or 7 thirds
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Division is the same as multiplying by the inverse, so we can flip the second fraction and multiply
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Our answer is 51 over 35.
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Dividing mixed fractions
Test your understanding of dividing mixed fractions by practicing it! Work through the below exercises to use it in practice.