Before entering fully into the meaning of the term mixed fraction, we will proceed to know the etymological origin of the two words that shape it:

-Fraction, first, derives from Latin. Exactly emanates from "fractio, fractionis", which can be translated as "part of a whole" or "broken piece". Likewise, it is necessary to highlight the fact that it comes from the verb "frangere", which is synonymous with "breaking" or "breaking".

-Mixta, secondly, we can indicate that it also comes from Latin, where appropriate, from the word mixtus.

In the field of **mathematics** , the concept of **fraction** It is used to refer to an expression that refers to a division. This expression is formed with the **numerator** (the number to be divided), the **denominator** (the number by which it is divided) and a **dividing line** (which presents the numerator above and the denominator below).

**1/9** It is an example of a fraction. As you can see, the numerator of this fraction is **1** while the denominator is **9** . Both numbers are separated by the dividing line. The result of the division raised by the fraction, on the other hand, is **0,11** .

According to their characteristics, we can classify fractions in different ways. In this case, to focus on the **mixed fractions** , first we must know what are the **own fractions** and the **improper fractions** .

A proper fraction is a fraction whose numerator is smaller than its denominator, provided that both are positive numbers. **2/6** Therefore, it is a proper fraction. In improper fractions, the opposite occurs: its numerator is greater than its denominator (**7/3** , to cite a case).

From these definitions, we can already refer to the mixed fractions. A mixed fraction allows to represent a **improper fraction** from a **whole number** and one **proper fraction** . This is useful for writing units of measure.

Suppose we have the improper fraction **45/25** . If we want to write this fraction as a mixed fraction, we must solve the **division** and write the result as an integer plus the corresponding proper fraction:

*9 / 5 = 1,8 = 1 4/5*

In the same way, we cannot ignore that to make the sum of two mixed fractions, what you have to do is add the whole parts on one side and what the fractions are on the other. If the result of this operation, as far as the fractions are concerned, does not turn out to be a proper fraction, it will be necessary to have its entire part to which it already has.

In addition to all of the above, we must emphasize that mixed fractions are not only used in the field of mathematics, as we can imagine, but in many others that may be curious. Thus, for example, in the kitchen sector they are used to indicate the amount of a specific ingredient in a recipe. In this way, you can say that you have to add 2 ¼ of flour.

Not forgetting that they are also widely used to express time intervals: 3 2/3 hours.