Plus 4 divided by 4 is 1.

So it's 22 plus 3 9, but this can be simplified.

Let me just label them numerator and denominator ... de nom in a tor

And that's the complex conjugate.

This would have been a 2.

This becomes a 1.

line the one that goes through both of these is going to be equal if you divide the numerator and denominator this becomes 6.

And remember, this is an or.

So x minus 2 times x plus 1.

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

7 divided by 8.

You could have said, OK, let's see.

I've written right here, that's not the case.

So let's try with 3 12 first.

So our denominator here is equal to 2x minus 1 times x plus 3.

The other situation is when they are both negative.

Let's see if I can simplify this.

30 is 2 times 15 and 45 is 3 times 15.

So, 4 5 is the same thing as 16 20.

We're just doing the distributive property in reverse over here. x plus 6.

So you get x is greater than or equal to 125 75.

If 36 is 9 2 times 8, let me write this. 8 9 2 36.

That's exactly the same thing we did here.

That will make it a positive.

Now let's do it the other way.

So let's say I had the fraction 3 5.

5 over 35 I'm leaving some space so we can divide well, these are both divisible by 5, so let's divide the numerator and the denominator by 5.

And if you wanted to work it out mathematically, you just have to do the same thing to the numerator and the denominator.

So they've given us 15 to 25.

So it's going to be four plus thirteen minus one.

And then the denominator is x plus 6 times 2x plus 5.

You have a proper fraction if your numerator if your numerator is less than your denominator if your numerator is less than your denominator and if you don't have a proper fraction you have an improper fraction.

And so that's equal to 9 15 plus 1 15, which equals 10 15.

If you just go two decimal places, it's 87.5 100.

And now, we can simplify it.

So this is the same thing as a 140 over 6.

Let's see how that works.

So 91 156 is the exact same thing as 7 12.

Both the numerator and the denominator are divisible by four. They both have the factor four.

If we multiplied 8 times 5, we have to multiply 5 times 5 to get 25.

We could divide the 3 by 3 and get 1, and divide the 18 by 3, and get 6.

Notice, here we multiplied the numerator and the denominator by 13.

So 21 28 you can see that they are both divisible by 7.

And you can do that to any fraction.

Let me remind you an improper fraction is one where the numerator is gretaer than or equal to denominator, absolute value of numerator is greater than or equal to absolute value of denominator