So let’s think about all

of the different ways that we can represent 7/9. So let’s just visualize 7/9. So here I have 9 equal sections. And 7/9 you could represent

as 7 of those equal sections. So let me get myself a

bigger thing to draw with, so that I can fill this in fast. Actually, I don’t

like how that looks. I’m going to use

the paint brush. So here we go. So that’s 1, 2, 3,

4– you know where this is going– 5, 6, and 7. So that’s one way

of representing 7/9. We already know that. That’s not too interesting. But let’s see if we

can represent 7/9 as the sum of other fractions. So let’s imagine maybe

we can represent it as– let’s do it as 2/9. Let me use a

different brush here. So let’s represent it as 2/9. 2/9 plus– I don’t know,

let’s see, maybe 3/9. But that doesn’t quite

get us to 7/9 yet. 2/9 plus 3/9 is going

to get us to 5/9. So we’re going to need 2 more. So it’s going to be

plus another 2/9. So what would this look like? So let’s just draw

another grid here. So this is going to

look like– and I’ll try to do it right

below it, so that we can see how they match up. So we have 2/9, this

2/9 right over here. Well, we have each

of these as a ninth. We have 9 equal sections. So we’re going to get 1 and 2. And then we’re going

to add 3 more ninths. So 1, 2, 3. So we add 3/9 right over

there and then 2 more ninths, 1 and 2. So notice, when I added 2/9 to

3/9 to 2/9, this equals 7/9. And we know that when we

add a bunch of fractions like this that have

the same denominator, we can just add the numerator. And this is why. This is 2/9 plus 3/9 times

2/9 is going to give me 7/9. Let’s do this one more time. This is actually a lot of fun. So let me draw my grid again. And then let’s see

what we can do. So let me get my pen tool out. Let me make sure my

ink isn’t too thick. Well, this is fine. And let’s add a

couple of ninths here. So let’s add first 1/9. And I’m going to draw

out all the 9’s in blue. And let’s add 2/9. And then we could add– I don’t

know, maybe we could add– let me give some space here

so we can add more. And maybe we could add 3/9. And then we could add, let’s

see– actually, let me just write this out. I’m going to try to add

four fractions here. So let’s say add first 1/9

and see where that gets us. So 1/9 is going to get

us right over here. So that’s 1/9. So let’s say we add 2/9 to that. I’ve got my little

paint brush going on. So that’s 1 and 2 more, 2/9. So that still

doesn’t get us there. This gives us a total of 3/9. 1 plus 2 is 3– 3/9. So let’s add 4/9. And I’ll do that

in this blue color. So 4/9. That’s different enough. So let’s see where this gets us. Actually, well, why not? So 4/9. And so that’s going

to get us 1, 2, 3, 4. So that looks like it

got us all the way, because 1 plus 2 plus 4 is

going to give us 7– 7/9. So what could we put here? Well, we could say 0/9. Why not? So we could call this

one right over here 0/9. And how would we visualize that? Well, we’re saying

none of these. No ninths right over here. So this is 1/9 plus 2/9

plus 4/9 is equal to 7/9. So these are all different

ways to decompose the exact same fraction.

Thank you for all the effort you put into these videos and your website!

Have a nice day

u sk dk

Thanks so much, I don't know what I'd do without these videos.

that really helped thanks

I get it thx

thank you before I didn't know what the heck a decompose fraction was.

thank you so so so much you help me with my home work and it's fun

rlly? ur kidding me. Do some Roblox vids.

Thanks just helped my son with homework and understood it.

Thank you so much my teacher recommends these videos

Mmm k

Omg I can understand thanks so much

How is this asmr to me?

WOW! I like how you used different colors to visualize the different fractions just one question can you add 4/9+3/9=7/9? Would that be called decomposing fraction?