How to work out this easy fraction? I need help working out this fraction, I know it seems quite easy but I'm a bit stuck.
The question is:
$$\frac{\frac {5}{2}}{\frac{5}{9}}$$  
My attempt was changing the denominators by multiplying by $2$ to make $18$ and then changing the same way the nominators:
$$\frac{\frac {45}{18}}{\frac{10}{18}}$$  
The thing is that I'm not sure how to simplify it as no numbers go into all of them. Thank you, I know this is quite easy.
Question: Why is it considered a division if the easiest solution is by multiplication? 

5/2 * 9/5
Multiply by what you're dividing by's reciprocal. 
