Let's a and b are whole numbers and
b is not 0. A number a/b
is called fraction.
The number a is called numerator, and
b is denominator.
A fraction is a number that expresses part of a group.
Denominator shows on how many equal parts we devide and numerator shows how many
parts we take.
Fraction examples
Example 1: Becky, Merry and John wants to devide a chocolate. What part of the
chocolate will take everyone? And what part of the chocolate will take the girls?
The childred devide the chocolate on three parts. So every one takes 1/3 from the whole chocolate.
The girls are two so they will take
two parts of the devided chololate in math language they will take 2/3 from the chocolate.
Example 2: How many are the yellow solders from all soldiers?
Example 3: What is the part of the missing apples from all apples?
Fraction Properties
Propery I:
All hatched parts from the circles are half(1/2) of the circles and they are equal to 1/2, 2/4 and 3/6.
But they all represents half of the circles so 1/2 = 2/4 = 3/6
The fraction 2/4 is result of 1/2 when we multiply the numerator and the denomerator of the fraction by 2. From 3/6 => 1/2 when we devide the numerator
and the denomerator by 3.
Let's a, b and c are whole numbers, and b and
c are not 0.
a
b
=
a.c
b.c
and
a
b
=
a:c
b:c
Property II:
For every two fractions with equal denomerators the bigger fracrion is with the bigger nomerator.
If a, b and c
are whole numbers and c is not 0:
a
c
>
b
c
, if a > b
Property III :
For every two fractions with equal nomerator the bigger fraction is with the smaller denomerator.
If a, b and c
are whole numbers, b and c are not 0.