# Algebraic Fractions: Multiplication and Division

Okay. We’ve got three fractions but don’t panic.
Just do exactly the same thing. Divide!
We change it to a multiplication sign by flipping it. You can see that c squared is c times c.
18 b is 6 times 3 b. So 18 is 6 times 3, isn’t it?
The reason why I change to 6 times 3 is because I have a 6 here. So I want to cancel this and this.
So we just have a 3 left. Or we can think of it this way. You can see that 18 divided by 6 is 3. Okay?
So if you don’t like the idea of cancelling you can just think of it that way. Now anything else that’s common?
Look! We have a c and a c we can cross out. And we’ve got an a and an a we can cross out.
Anything else? That’s it. We can’t. We don’t have anything more common on top and bottom.
We just want we just find the remaining. See here we just have 5 5 b over we cross that out.
It doesn’t become zero, guys. It becomes a one, because six divided by six is one.
We have five b over one. We have three b over one and then b over c. Okay?
Multiply the tops together bottoms together. So 5 b times 3 b times b is 15 b cubed because we’ve got 3 lots of b’s.
And 1 times 1 times c is just c, okay? And that’s it.
Although you have three, it’s the same kind of method.
But you just need to be very very careful though. Okay?
Because you’re easy to make silly mistakes. ## Index Notation: Expanded Form to Index Form

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