Dividing Unit Fractions

Vocabulary:

Unit Fraction: A fraction with a 1 in the numerator such as 1/3, 1/4, 1/8. All fractions are built on unit fractions. For example 2/3 is 1/3 + 1/3 and is made from 2 unit fractions.

This week we will change focus a little bit. Last week we were dividing whole numbers into unit fractions. This week we will take a unit fraction and break it into same size pieces.

We can start by asking What do I have? and What do I do with it?

Today we have 1/4 and we are partitioning, or dividing, our amount into 3 same size pieces.

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Start by showing what you have: 1/4

Once you show what you have, 1/4 of your whole. You can break your 1/4 into 3 same size pieces.

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Breaking your 1/4 into 3 same size pieces

Your model now needs to show how much of your whole each new piece is. You also need to break up the rest of your fourths into 3 same size pieces.

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Each one of your new pieces is 1/12 of the whole

This model can now be represented with the equation 1/3 รท 4 = 1/12