# Algebraic Fractions: Multiplication

When we multiply we don’t have to worry. We don’t have to bother making the same denominators.
When we multiply the numerators together and the denominators together that’s all you need to do. So it’s very simple.
But what I’m going to do here guys you can see that 7m is just 7m but 15 is 3 times 5 and 9 is 3 times 3 and 14 is 7 times 2.
Now you’ll see why I did that in a second. The reason why I did that is that I want to see if I can cancel any common factors, Okay?
So guys for example if I have two x on four see how two and four they have a common factor of two because two x over four is two times two so it’s two divided by two I can cancel these, can’t I?
So I just have x on two left so that’s the whole point I want to see if I can cancel anything on top and cancel anything on the bottom together if they’re common if they have the same factor.
So I try to break this down into common factors basically prime factors.
So see how here seven and the seven I can cancel you can cross you can cancel crossways you can cancel diagonally as long as one’s on top and the other’s on the bottom, Okay?
So you can cancel the seven and the seven and here you can cancel the three and the three because they’re common. So we just have m over five so m over five times three over two left. We can’t cancel any further.
So now do the multiplication. So m times three is three m five times two is ten and that’s the simplest form of the fraction. Get the idea, guys?
Now if you can, try simplifying interesting you can try cancelling without doing all this expansion.
But if you need a bit of working if you need a bit of guidance to cancel out, do what I did. 