- [Instructor] Plotting
fractions on a number line.
In your ALEKS pie, mouse
over the light green slice,
fractions, to reveal the
drop down list of topics
you need to cover.
Click on plotting
fractions on a number line.
Plot 1 1/2 and 2 5/6 on
the number line below.
Let's click explain.
We must first count the number of parts
between zero and one.
And it's divided into six parts.
This means that they are each 1/6,
so zero, 1/6, 2/6, 3/6, 4/6, 5/6 and one.
To plot 1 1/2, we need to put
a point between one and two.
But we're talking about sixths.
So what's the equivalent
fraction for half in sixths?
Well, two times what is six?
Two times three is six,
and what I do to the denominator,
I have to do to the numerator.
So if two times three is six,
one times three is three.
So one and 3/6 is my
equivalent fraction for 1 1/2.
And so, 1 and 1/6, 2/6, 3/6, or 1 1/2
are going to be the same
point, so 1 1/2 is right there,
between the one and the two.
And 2 5/6 is a point
between two and three.
This one's easier to do
because it's already in sixths,
and so I don't have to find
an equivalent fraction.
So two and 1/6, 2/6, 3/6, 4/6,
two and 5/6, and plot my point there.
So there's 1 1/2 and 2 5/6.
Let's try another one.
Plot 2 1/8 and 1 1/4 on
the number line below.
Well, these are broken into
one, two, three, four,
five, six, seven, eighths.
They're eighths.
So 2 1/8 should be pretty easy to do.
Here's my dot, two and 1/8.
Here are my notes.
The other point I'm
supposed to plot is 1 1/4,
but my number line is
divided into eighths.
So four times what is eight?
I'm trying to come up with an
equivalent fraction in eighths
so I can plot the correct point.
Well, four times two is eight.
And what I do to the
bottom, or the denominator,
I have to do to the top, or the numerator.
So, take the top times two
also, one times two is two.
So my equivalent fraction
for 1/4, 1 1/4 is 1 2/8.
In my ALEKS screen for 1 1/4,
I need to find 1 2/8.
So get out my point and plot 1 2/8,
same as 1 1/4, and click next.
And it says that I got the correct answer.
Thanks for watching.
