Dividing a mixed fraction by a whole number
The skill being taught is how to divide a mixed fraction by a whole number. It involves converting the mixed fraction into an improper fraction and then multiplying the denominator of this fraction by the whole number to perform the division.
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Let's divide this mixed fraction by a whole number
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When we are working with fraction division or multiplication, improper fractions are often a lot easier to deal with, so let's convert this into an improper fraction. 2 wholes is 4 quarters.
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So 2 and three quarters is 8 plus 3, quarters, or 11 quarters.
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Now we can divide. Dividing a fraction by a whole number is the same as multiplying the denominator by that whole number. So we have 11 over, 4 times 3
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Which gives us an answer of 11 over 12
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Dividing a mixed fraction by a whole number
Test your understanding of mixed fraction division by whole by practicing it! Work through the below exercises to use it in practice.