and this example we're graphing fractions
on a number of line i want to divide
the given line into units of length
one-sixth label each tick mark and then
plot and label the given numbers so
let's provide alternate forms for these
numbers if we can so i going to start
with the halfway point here and then put
two marks and then two marks that should
give me
one-sixth, two-sixth, three-sixth, four-sixth, five-
sixth
that gives me my equally spaced tick
marks of length one-sixth
I'm going to do the same thing over here
and put my smaller ones here
then it says to you label each tick mark so here's one over six
two over six
three over six
four over six
five over six
and notice that one is equivalent to six over six
this is seven over six
eight over six
nine
over six
ten over six and eleven
over six
and twelve
over six is two
and i can also write the mixed numbers for these would be one and one
sixth
one and two sixth
one and three
sixth
one and four
sixth
one and five-sixth this is starting to get
a little messey
i could reduce some of these but I'm going to leave that for now same thing over
here but just so you can see the
sixth counting by sixth
let's see where each of our numbers are
zero is the same thing is zero over six
so zero is an equivalent form to 
zero over six or alternate form
two over six is here
so I'm going to label that
let's go ahead and put a dot there and
put a dot here for zero i can reduce two
over six
two and six have a common factor of two
that reduces to one-third there's an alternate form
five over six is here we'll give that
a dot
six over six is here and we already know
that's equivalent to one we did that
before so we'll leave that
nine over six is here
I have that as one and three-sixths
I can also write that as one
and one half as another
alternate form
and so there you your number line
divided into six and all the points
plotted and labeled
