It is probably best, before addressing the definition of Fractional Numbers,** to briefly review the definition of Rational Numbers,** as these are the elements that make up the numerical set where this can be considered to belong kind of numbers.

## Rational numbers

In this sense, it can then begin to say that rational numbers will be those that are either integer or fractional, and especially non-zero, are expressed in fractional form. Mathematics **also identifies rational numbers as the elements that make up the Q numeric set,** a collection that in turn belongs to or can be marked as a subset of the Actual Numbers.

## Fractional numbers

In this way, it will begin by saying then that fractional numbers will constitute a subset of the number set Q. They will also be considered as all those numerical elements used to represent non-whole quantities, that is, fractional, name that receives precisely for expressing portions, **fragments or fractions of a quantity. Likewise, mathematics has pointed out** that fractional numbers can be raised as the division between two non-zero natural numbers.

## Forms of expression of fractional numbers

However, this discipline notes that Mathematics has pointed to at least two ways in which fractional numbers can be given expression,** which are then described as follows:**

**As fractions:**the first of them will be fractions, which will be expressed as a fraction or division of natural numbers, where you can count on the presence of the numerator,**which will express the number of where certain amounts will be taken, and the denominator,**which in turn will represent the number of elements to be taken from the denominator.**An example of this type of expression will be the following:**

**As decimal expressions:**so too, fractional numbers can be expressed as decimals, once the division raised between natural numbers in the fraction is resolved. In these decimal expressions you will find an integer, which will be located to the left of the comma,**while after that you can express the decimal places (tenths, hundredths and thousandths) of the number.**Decimal expressions may be periodic pure or mixed.**An example of this form of expression will be the following:**

0,756756

## Representations of fractional numbers in the Number Line

Like any kind of number, fractionaries may be annotated or registered in the Number Line, where they will be placed first on the basis of the sign that accompanies the number. **On the other hand, when writing down the number, regardless of how it is represented,** but in order to know its precise location, the division raised by the fraction must be resolved.

In this sense, it will be taken into account that fractional numbers are characterized by not being continuous, **so between one natural number and another there are infinite fractional numbers.** On the other hand, those fractions that when resolved result in decimal expressions whose integer is zero, then will be located somewhere between 0 and 1, **if it were a positive decimal expression, or between -1 and 0 , on the contrary, it was negative.**

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September 21, 2019