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We are going to use these factions circles
to learn about adding fractions.
We have two circles
that been divided into equal parts
and they display fraction quantities.
So how many equal parts are they divided into? Well,
one, two, three, four, five, six,
one, two, three, four, five, six. Both of these
are showing sixths.
How many?
Well here we have one sixth that has been shaded in and in this case
two of the sixths have been shaded in so we will write that down.
In both cases we have sixths,
six equal parts and that is what we enter into the denominator, the number of equal parts.
How many are shaded? What is the numerator? Well, one sixth
two sixths.
So, we are going to be adding
one-sixth
plus two sixths.
Lets use the models to see what that looks like.
If you add 1 sixth to 2 sixths, what do you get?
We get three sixths.
In fact if you add 2 sixths to 1 sixth, what do you get? Same thing. You know addition is
commutative - that means it goes in either direction.
So we can go ahead and show what the answer looks like in this model.
So we will divide it into two
equal parts, then three equal parts, four, five, we will divide it into six equal parts.
And we will shade one, two, three, of those, and we will write that down.
We are saying that 1 sixth plus 2 sixths equals three sixths - that is the whole idea.
And if we press this button to check work, we can really see how it shows up.
We see how the one sixth
plus two sixths
equals three sixths.