We are gonna place these four fractions on
this number line.
Right now the number line takes us from zero to one.
And it is a divided into equal parts. How many? One,
two, three, four, five, six, seven, eight. It is divided
into equal parts; each equal part is an eighth.
So one eighth
would accurately be placed
where the first eighth on the number line is.
And 2-eighths belongs right here.
That is pretty straightforward,
but I am gonna change the number line a little
bit.
I am going to remove some of the
partitions
so that now the number line is divided into
fourths.
1-forth, 2-forths, 3-fourths and then to
one, or 4-forths.
So now where do these eighths belong?
Well, if we change the way that the eighths are represented
we might learn more about them.
Here is our 1-eighth, and here is our 2-eighths, and
here is 1-forth. 
Let us look at that again;
1-eighths, 2-eighths and 1-fourth.
And we can see
that 2-eighths,
is twice the size of 1-eighth,
and it is the same size as  (well come on move
over there) 
as 1-fourth.
So 1-forth and 2-forths are the same, and 1-
eighth is half of that amount, so let us do some
more with this.
So the 1-fourth, we know where that goes,
right there on 1-fourth.
The 2-eighths, we know where that goes, because
it is the same as the 1-fourth, it is another name
for the 1-forth.
And 1-eighth is half of the 2-eighths,
and it goes right about there, in the middle.
3-eighths, well that is going to be the
same as 1-eighth plus 2-eighths, and lets prove that.
Let's just move these up here for a moment,
and make sure that this all makes sense.
So if you take the 1-eighth and you add it to the 2-eighths
check this out, it's going to have the same
height as the three eighths. So were gonna
put him back on the number line,
the 2-eighths was here,
and the 1-eighth was here,
and then the 3-eighths,
well that is the same as 1-eighth plus 2-eighths.
And that is why it fits right here, you take
the 2-eighths and you add one more.
That is how we place these fractions on the
number line.
