A ** fractional number or fraction ** expresses a certain number of ** portions ** that are taken from a whole divided ** in equal parts**.

It is represented by a dividing bar (oblique or horizontal), also called the "fraction line" that separates the first quantity (**numerator**) from the second (**denominator**).

#### Recognize the terms of a fraction

We define the concept of fraction as "*the number obtained by dividing a natural number (positive integer) into equal parts*"

ELEMENTS OF A FRACTION

- The ** numerator ** (top number) ** ** of a fraction indicates the number of parts that are chosen from the unit.

- The ** denominator ** (bottom number) represents the number of equal parts the unit is divided into.

#### Read and write simple fractions

HOW TO READ AND WRITE FRACTIONS

__To correctly read and write any fraction, initially, we will read the numerator and then the denominator:__

- The ** numerator ** is read and written using the ** cardinal numbers ** or ** natural numbers**: one, two, three, four, five, thirty-six, hundred fifteen, nine hundred and eighty four...

- The ** denominator ** is read and written using the ** partitive numbers**:

2 = half / halves

3 = third/s

4 = quarter/s

5 = fifth/s

6 = sixth/s

7 = seventh/s

8 = eighth/s

9 = ninth/s

10 = tenth/s

__We present a visual scheme to facilitate the assimilation of learning to read and write fractional numbers:__

#### Interpret fractions as dividing two whole numbers

Every ** fraction of two natural numbers ** (positive integers) __ always represents the division between these numbers. __

To express the ** quotient of a fraction ** (also called "result"), __ we will divide the numerator by the denominator__:

#### Interpret and graph fractions

FRACTIONS LESS THAN ONE

NUMERATOR < DENOMINATOR

FRACTIONS GREATER THAN ONE

NUMERATOR > DENOMINATOR

#### Compare fractions of the same denominator (like fractions) with each other

When comparing different ** fractions with the same denominator ** (also called "like fractions") with each other, the fraction with the ** greater numerator will be greater. **

__In the following example, the fraction 5/9 will be greater than 4/9 because its numerator is greater ( 5 > 4 ):__

#### Compare fractions of the same numerator with each other

When comparing different ** fractions with the same numerator ** (also known as "same numerator fractions") with each other, the fraction with ** lower denominator ** will be greater.

View the ** lesson ** for quick understanding and solve our ** activities ** to keep improving your fraction comparisons.

SPANISH

ENGLISH

__In the lesson that we propose, the fraction 1/2 will be greater than 1/4 because its denominator is smaller ( 2 < 4 ):__

#### Recognize and interpret equivalent fractions through their graphic representation

We teach you how to recognize and interpret when ** two fractions are equivalent to each other ** through their ** graphical representation ** to make it easier for you to learn. Remember that two or more fractions will be equivalent if, even though their numerator and denominator are different, they represent the ** same portion of the unit**.

__In the proposed example, you can see that the fractions 1/3 and 2/6 represent graphically the same part of the unit (equivalent portions):__

Therefore, it will be the same to eat one-third of a cake as two-sixths of the same cake.

#### Adding fractions of the same denominator (like fractions) by graphing

#### Add fractions of the same denominator (like fractions)

#### Subtracting fractions of the same denominator (like fractions) by graphing

#### Subtract fractions of the same denominator (like fractions)

#### Read and write decimal fractions

Do you know what a ** decimal fraction ** is? And would you know how to ** represent it **?

We define the concept of "decimal fraction" as that __ fractional number in which the denominator is a power of base ten__, for example, 10, 100, 1,000, 10,000, etc.

Here's how decimal fractions are read and written based on the ** power of base ten ** in the ** denominator**:

2/**10** = 2 **Tenths**

6/**100** = 6 **Hundredths**

9/**1.000** = 9 **Thousandths**

#### Recognize and graph decimal fractions

Can you recognize the ** portion ** that represents a ** decimal fraction**? We have put together a set of **tasks** for you to practice ** graphing ** easily.

Do you want access to more Third Grade learning?

Select more ** exercises**, ** worksheets** and ** activities ** of ** Mathematics ** for each of the 4 learning blocks of the Educational Curriculum (*"Numbers and Operations", "Quantities and Measurements", "Geometric and Spatial Reasoning" and "Data Analysis and Probability"*) aimed at improving the logical-mathematical competencies and skills that are developed throughout ** "Grade 3" or "Year 4"**:

##### NUMBERS AND OPERATIONS

##### QUANTITIES AND MEASUREMENTS

##### GEOMETRIC AND SPATIAL REASONING

##### DATA ANALYSIS AND PROBABILITY

Prejudices are more difficult to eradicate from the heart whose soil has never been fallowed or fertilized by Education: they grow there, firmly like grass between the stones

Charlotte Brontë