Concept of a fraction 
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1. Concept of a fraction.
Three fifths is a fraction which can also be written as 3/5. Here we will use both forms.
The jar is divided into four measures. ¾ of the jar is full of milk to. There is ¼ that is empty.
The table is divided into 8 parts. 3 of them are colored in red and 5 of them are not colored, that is 5/8.
The rectangle is divided into 5 squares: 2 of them are colored in brown (2/5) and the other 3 are colored in blue, that is, 3/5.5.
In the fraction 3/5, we distinguish the numerator (3) and the denominator (5). This means that the rectangle has been divided into 5 parts and we have taken 3.
A fraction is one or several equal parts into which the unit is divided.
Answer these questions:
In the fraction 2/5, the numerator is... 

In the fraction ¾, the denominator is... 

In the fraction 3/8, the denominator is... 

In the fraction 1/3, the numerator is... 
2. Fractional Unit
A fractional unit is each of the parts that are obtained by dividing a unit into equal parts.
Examples: 1/2 (one half), 1/7 (one seventh), 1/8 (one eighth).
Examples: 2/9 (two ninths), 3/10 (three tenths), 4/7 (four sevenths).
Do this exercise:
What is the fractional unit? 

What is the fractional number? 

What is the fractional unit? 

What is the fractional number? 
3. How to read a fraction?
If the denominator is 2, the fractional unit is a half; if it is 3, the fractional unit is a third; if it is 4, the fractional unit is a fourth; if it is 5, the fractional unit is a fifth, if it is 6, the fractional unit is a sixth, if it is a 7, the fractional unit is a seventh; if it is 8, the fractional unit is an eighth; if it is 9, the fractional unit is a ninth and if is 10, the fractional unit is a tenth. From 11 onward, we add the termination “ths”
Examples: 3/11: three elevenths, 4/12: four twelfths; 4/25: four twenty fifths
What is the correct fraction?
Seven tenths 

Three ninth 

Seven thirteenths 

Twelve fifteenths 
4. Proper and improper fraction.
If the numerator and the denominator are equal, the fraction is equal to a whole unit.
Examples: 3/3 = 1; 5/5 = 1; 6/6 = 1.
When the numerator is less than the denominator, it is called proper fraction.
Examples: 4/6, 2/5, 1/3.
When the numerator is equal or greater than the denominator, it is called improper fraction.
Examples: 7/4, 3/3, 6/2.
Indicate if these are improper or proper fractions:
5/7 is a fraction 

4/4 is a fraction 

6/2 is a fraction 

1/3 is a fraction 
Examples: 6/5 = 1 1/5. It is read one and a fifth.
Indicate the correct mixed numbers:
Two and three quarters... 

Three and a fifth... 

Four and two thirds...... 

Two and fivesixths... 
 Educational applications 
Mathematics 
 In Spanish 
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®Arturo Ramo García.Record of intellectual property of Teruel (Spain)
No 141, of 29IX1999
Plaza Playa de Aro, 3, 1º DO 44002TERUEL