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Division by mixed fraction

Teaching Transcript

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Let's divide this whole number by the mixed fraction 2 and one fifth

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 10 fifths.

So 2 and one fifth is 10 plus 1, fifths, or 11 fifths.

Dividing by a fraction is the same as multiplying by its inverse, or the fraction flipped upside down. So it's 4, times 5 over 11.

Which gives us an answer of 20 over 11

The math skill taught is dividing a whole number by a mixed number. First, convert the mixed number into an improper fraction. Then, invert the fraction and multiply it with the whole number to find the result.

Skill Practice

Dividing a whole number by a mixed fraction

Test your understanding of division by mixed fraction by practicing it! Work through the below exercises to use it in practice.