# Numerator and denominator

A fraction is each of the parts into which the unit has been divided. They express the division of a whole into parts; he denominator represents the divisor (or the parts into which the unit is divided) and the numerator, to the dividend (or the parts that are taken after dividing the unit). For example, 1/2 represents a fraction, where 1 is the numerator and 2 the denominator.

## Definition Suppose you have a cake that has been cut into eight equal pieces and then only half of them are distributed. The denominator indicates the parts into which the cake was divided and the numerator, the pieces that were taken or eaten later. The above can be represented as follows:

4/8 = eaten parts / parts into which the cake was divided

• Denominator: indicates the number of equal parts into which the unit is divided, that is, represents the divisor.
• Numerator: indicates the number of parts that are taken after the unit is divided, in other words, it represents the dividend.

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

## Nomenclature

The number in the numerator reads the same, not the denominator. Let's see how the denominator can be read:

• 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).

## Exercises

1. Represent the following situations in fractions, indicating which is the numerator and denominator:

a) An orange is divided into two equal parts and one is taken.

b) A draft is divided into five parts and three pieces are distributed.

c) A bread is divided into twenty equal parts and all the pieces are taken.

d) A cake is divided into thirty-three equal parts and 25 pieces are eaten.

e) In a bag there are two twenty-three yellow chocolates, five twenty-three brown and four twenty-three.

a) 1/2 = part taken / parts into which the orange was divided; where 1 is the numerator and 2 the denominator.

b) 3/5 = parts taken / parts into which the draft was divided where 3 is the numerator and 5 the denominator.

c) 20/20 = parts taken / parts into which the bread was divided where 20 is the numerator and 20 the denominator.

d) 25/33 = Parts eaten / Parts into which the cake was divided; where 25 is the numerator and 33 the denominator.

e) In the bag there are: 2/23 yellow chocolates, 5/23 brown and 4/23 blue.

1. Write the name of the following fractions, indicating their numerator and denominator.

a) 5/9

b) 1/3

c) 5/5

d) 245/13

e) 5/129

a) Five ninths.

b) One third.

c) Five fifths.

d) Two hundred forty-five thirteen.

e) Five twenty-ninths.