The meaning of a fraction

Sometimes, It is a natural number. Other times this does not happen. In this case what is the meaning of ?

A fraction involves the following idea: divide something into equal parts. Among these parts, we consider an or some, as per our interest.

Example: Roberval ate of a chocolate. This means that if we divided the chocolate into 4 equal parts, Roberval would have eaten 3 parts:

In the picture above, the painted parts would be the parts eaten by Roberval, and the white part is the leftover part of the chocolate.

Next: How to Read a Fraction, Classification of Fractions