I know it's really messy.

You've made the division of labour very clear.

So let's divide both the top number and the bottom number by 4.

And then let's see, we have 2x is greater than negative 4.

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

All right, to get organized.

So to get the 1 on the right hand side let's divide everything by 36.

It only has to be done once so you're saving yourself half the effort every time that you do this, half keeps compounding and that's how we get down to algorithmic number of steps instead of a linear number of steps.

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Or to figure out what that times what is, you divide 360 divided by 8.

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Doing this calculation here is basically now repeating the same operation over again.

So you get nine x is equal to seven.

If it was the same or higher, we would do a little

I'll show it to you just for completeness' sake.

It's going to recurse on either the left or the right.

Lexical here has the same roots and lexicon like a dictionary.

And let me do it one more time.

You can just divide both sides of this equation by the coefficient on x.

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And now, we can simplify it.

And the process for writing it as a mixed number, you just divide the denominator into the numerator, so this just becomes 2 into 3.

The numbers here are 1 and 6.

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

And then we'll want to let's see, we can divide both sides of this equation by 4.

Well let's just say between 0 and 1.

Now something we should consider is that no end user pays was priced.

Things like 6 you can say, hey, 6 is 2 times 3, you can break it down, and notice, we can break it down as a product of prime numbers.

If this was an equation, or really any type of an inequality, we want to divide both sides by negative 20.

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.

And then it would have been more obvious that you can divide the numerator and the denominator by 2 once you can do it again and then you'd just be left with one over two times 5 times 5.

You know, you're gonna need to decide what you are.

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.

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We've already expressed it as a fraction, but now we can actually simplify it, because both 36 and 100 have some common factors.

So divide the numerator by 3, and let's divide the denominator by 3.

This next one reminds us that split only splits on spaces.

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And now 36 divided by 4, we know what that is.