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Dividing whole numbers by unit fractions and unit fractions by whole numbers are 5th grade standards. (CCSS.MATH.CONTENT.5.NF.B.7)
I've never taught division of fractions, but when you are struggling to understand something yourself, you often do a better job explaining it to someone else.
In my classroom, dividing fractions is all about pans of brownies.
If you have four pans of brownies and you want to divide them each into fourths, how many fourths will you have?
4 ÷ 1/4 = 16
You will have sixteen one-fourth-sized pieces to share with your friends.
But what if you you share 15 of those one-fourth-sized pieces and realize you forgot to share with 4 other friends?
If you chop a one-fourth-sized piece into four pieces, what size of piece will each of those friends get?
1/4 ÷ 4 = 1/16
They will get a tiny little piece, but at least you didn't completely forget them!
| Creative Commons photo from Wikimedia Commons |









