fraction division understanding Want to visualize rule division of fraction.
For example
1)
2   2     4
_ * _   = _ 
2   3     6

in this case we "split" each piece of cake in numerator to the 2 "first fraction" and apply the same operation for the denominator.
Could you please clarify rule with devision, why we should turn fractions and multiply it. How can I visualize this rule?
Thanks. 

Here's a good way to think about it. When you divide $6$ by $2$, you're asking how many groups of $2$ apples make up $6$ apples. The answer, of course, is that there are $3$ groups.
Now, when you want to divide $1$ by $2/3$, you're asking how many groups of $2/3$ of a cup there are in $1$ cup. As the second picture clearly shows, there are $1 1/2$ or $3/2$ groups. This same principle generalizes for any fraction division.

