Why do you times the reciprocal of the second fraction by the first when dividing fractions.

Let's use an analogy here where divide means share/split. If you share 1 pizza between a couple of 2 people, they will each end up with a half. Now lets try picture the reverse slowly.You have a couple of 2 people and you share 1 pizza between half the couple, this means each half of the couple ( 1 person) is getting one pizza and this is only possible if there are 2 pizzas. Now this can be done with halves, thirds, quarters .. it really does not matter. This is why dividing by a number is the same as multiplying by the reciprocal as if you was to divide by a fraction you are basically saying a fraction of the set gets "a value" and so what does the set get all together. This is why dividing anything whether it is a whole number or fraction by a fraction is the same as multiplying by the reciprocal of the fraction.