Let's divide both the numerator and the denominator by four.

Divide the numerator and the denominator by 3.

Just multiply the numerator and denominator by 4.

I can do this by hand but just because this video is already getting a little bit long ... ... let me get my trusty calculator out ... ... just for the sake of time ... ... 5000 divided by 3600 ... ... which should be really the same thing as 50 divided by 36 ... ... that is 1.3 ... i'll just round it over here ... 1.39.

Both our numerator and our denominator have numbers that are divisible by 4, so let's divide both the numerator and the denominator by 4.

You can divide the numerator and the denominator by 9.

Numerator and denominator by h of 2x plus h.

We could divide the numerator and the denominator by 4.

Let's divide the numerator and the denominator by x.

I'm just dividing the numerator and the denominator by x.

Let's multiply the numerator and the denominator by the conjugate of this.

Both the numerator and the denominator are divisible by 3.

And now these two characters don't seem to share any other common factors, so we've written it in simplified form.

We can divide the numerator and the denominator by 2.

If I multiply the numerator and the denominator by a squared, right?

Now, they want us to identify the numerator and denominator,

Divide the numerator and denominator by 5.

You divide the numerator and the denominator by 3.

We see a term in the numerator and the denominator that are the same.

So these cancel out.

So let's multiply the numerator and denominator of this expression by the conjugate of the denominator.

Well, let's just multiply both the numerator and the denominator here by 10 twice.

You swap the numerator and the denominator, make them negative, and they become equal to each other.

Both the numerator and the denominator are divisible by 5.

Let's divide the numerator and the denominator by our change in x.

Both the numerator and denominator is divisible by x.

well I can divide the numerator and the denominator by b

Let's factor out an x squared out of the numerator and the denominator.

And that's the same thing as if you divide the top and bottom by three.

So all I did is I multiplied the numerator and denominator by 10.

So if we divide both the numerator and the denominator by 15, what happens?

And you might say, Hey Sal, look, I have the same thing in the numerator and the denominator.

We can divide the numerator and the denominator by 3, or by, by 2.

You can divide the numerator and denominator by 4, this becomes a 2.

We can divide both the numerator and denominator by 4.

So lets divide both the numerator and the denominator by 2.

I'm just dividing numerator and denominator by delta x plus six plus delta x.

And if you divide the numerator and denominator by 25, this is 5 3.

Negatives cancel out, we could divide the numerator and the denominator by 10.

We can divide the numerator and the denominator by our highest degree term.

If we divide the numerator and denominator by 3 we're not changing the value.

So if you divide the numerator by 2, 16 divided by 2, or you could view it as multipying the numerator and denominator by one half.

In the second step, they were divided by 3.

So we can divide both the numerator and the denominator by 15.

And you might say, hey Sal, why did you do this x minus 1 in the numerator and denominator?