Fractions are invented by the human mind and then applied to geometry or applications involving objects in space, like pizza.
Counting by whole numbers does not work for many applications. So we invent a new object, the fraction and apply it. The invention is stimulated by the application, but the application does not create the properties of fractions.
Man wanted to communicate over distance and so telegraphy and telephony were invented. But the principles of telegraphy and telephony do not follow from the existence of spatial separation.
We do not tell students, people dwell apart and therefore the electric force between two charges falls of as the square of the distance.
The rule for the electric between two particles is not derived from people dwelling apart. To tell students it comes from that would be to confuse them. This is obvious for the laws of electricity but not for the rules for fractions.