NUMBERS AND OPERATIONS
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.
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