Suppose you have a loaf that has been divided to be shared equally among eight people, yet only one of them takes a piece. In this case, the **denominator** represents the parts into which the bread was divided and the **numerator**, the part that was taken after dividing it. The above, we can represent it in the following way:

1/8 = part taken by the person / part into which the bread was divided

This expression represents a **fraction **(or** broken**), which is defined as each of the parts into which the unit is divided.

**Definition**

A fraction is each of the parts into which the unit has been divided. They express the division of a whole into parts; it is also known as broken. To be clear about this concept, we must first know the parts of it, such as the denominator and the numerator:

**Denominator**: indicates the number of equal parts into which the unit is divided.**Numerator**: indicates the number of parts that are taken after the unit is divided.

**Notation**

To write a fraction, write the numerator at the top separated by an oblique or horizontal line of the denominator. Thus, three-fourths is written or 3/4.

**Nomenclature**

To read a fraction, the number that is in the numerator is stated first and then the denominator, however, the number in it does not read the same:

- If it is 2 it is read
**Medium**or**Half**. - If it is 3 it is read
**Third**or**Third part)**. - If it is 4 it is read
**Quarter**or**Fourth part)**. - If it is 5 it is read
**Fifth**or**Fifth part)**. - If it is 6 it is read
**Sixth**or**Sixth (part)**. - If it is 7 it is read
**Seventh**or**Seventh)**. - If it is 8 it is read
**Eighth**or**Eighth (part)**. - If it is 9 it is read
**Nineth**or**Ninth)**. - If it is 10 it is read
**Tenth**or**Tenth)**.

When the denominator is greater than 10, the denominator is read by adding the ending **Avo **to the name of the number (eleventh or eleventh (part), sixteenths, fifty-sixth).

**Meaning**

Every fraction is considered as the quotient of two algebraic expressions, in which the numerator represents the dividend and the denominator the divisor. Thus 7/8 represents the quotient of a division in which the numerator 7 is the dividend and 8 the divisor.

**Fraction types**

**Own fractions**: in them the numerator is less than the denominator. For example: 2/3, 7/9, 15/19.**Improper fractions**: in them the numerator is greater than or equal to the denominator. For example: 4/3, 9/9, 21/19.**Mixed fractions**: they are those that consist of an integer part and a fractional part. For example: 5 ⅜, a + x / y.