This word has its origin in Latin, specifically the word "fractio", the concept of fraction is used to refer to a process based on dividing something into parts. In the world of mathematics, the fraction is an expression that marks a division. It can then be said that a fraction is a number, which is obtained by dividing an integer into equal parts. It should be noted that a fraction is mathematically represented by numbers that are written one above the other and that are separated by a horizontal straight line called a fractional line. To better understand it, we have the following example, 3/4, this figure should be read as three-quarters and it indicates three parts out of four totals, which could also be expressed as 75%.
A fraction is made up of two terms: first you have the numerator and then there is the denominator. For its part, the numerator is that number that is located on the fractional line and the denominator is the one that is under it.
Depending on the type of link established between the numerator and the denominator, the fractions can be classified as proper and improper, irreducible and non-irreducible. Their own are characterized by the fact that the denominator is greater than the numerator. The improper ones on the other hand are those in which the numerator is greater than the denominator. Then the reducible ones are located, it is when the numerator and the denominator are not prime between one and the other, a characteristic that allows the structure to be simplified. Finally, the irreducible ones are those where the numerator and the denominator are prime to each other and for this reason, it cannot be made simpler).
Mixed fractions, on the other hand, have a particular characteristic, and that is that a whole number is written in front of the numerator and the denominator, usually said number is larger (in terms of its typography) and located in the center vertical. This value indicates how many times the denominator is completed, a fact that does not happen in the rest of the fractions. An example would be 4 1/3, which means that you have 4 units (four times three thirds) and one third.