Multiplying unit fractions: expression to area model

- [Instructor] We are
asked to select the diagram

that represents 1/6 times 1/4.

So why don't you pause this video?

Have a go at it before
we do this together.

Okay, before I even look at these choices,

I could think about what
this might look like.

So if I had a square unit,

I'm just gonna hand draw it so
it's a little bit shaky here.

So I could imagine having
1/6 on the left side

and then 1/4 on top.

So how would I do that?

So I would divide it into six
equal sections horizontally.

So I could do it like this.

So it could look something like this

where each of these is 1/6
and then I'm going to multiply

and maybe I would put
that maybe in that color

and then in the other direction

I would divide it into fourths.

So let's see, that's about half.

And then I will put those
in half to get fourths.

So 1/6 times 1/4.

And so the fourth, let me
do this in a light color

so it doesn't write over.

It would be that-

Well, lemme do it in the color
that you can actually see.

It might be all of that right over there.

And then their overlap
would be right over here.

So this would be 1/6 times 1/4

and that's actually 1/24
of this entire square.

So let's see.

Do I see anything that looks like that?

Let's see.

This first one looks like 1/4 times 1/4.

That's not right.

This one looks like 1/6
'cause this is 1/6 right here,

but it's 1/6 times 1/2
'cause in this direction

we're only split into two.

This one over here doesn't
look like what we did.

But if we turn it around and
if we do it the other way,

where if we divide it into
fourths on horizontally

and then into sixths vertically,

it looks a lot like choice C.

So if I divided into sixths here,

so if I had 1/4 times 1/6,

1/4 would be that entire row.

1/6 would be this entire column.

When you take their product,
you would get that shaded area,

which is exactly what
they did in choice C.

So this is 1/4 times 1/6,

and you get that shaded area.

So I like choice C.