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Mixed numbers to fractions and vice versa

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Published on Nov 24, 2011

I explain both the visual models and the shortcuts for converting mixed numbers to fractions or fractions to mixed numbers.

To convert a mixed number to a fraction, divide the whole "pies" into pieces (the same kind of pieces as what the fractional part indicates), then figure out how many pieces you have. You can use multiplication, of course.

And to change a fraction into a mixed number, draw enough pies so you can "accommodate" all the fractional parts. The shortcut is, divide. For example, to change 16/5 into a mixed number, divide 16 by 5. That is 3 remainder 1. It means we get 3 whole "pies", and 1 remainder piece, which is a fifth, or 3 1/5.

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