FRACTIONS
What is a
fraction?
It is a part of a whole
There are two numbers in a fraction
3
: numerator = how many of the equal parts are shaded
8
: denominator = how many equal parts the circle is split into
= the ‘whole’, ‘total number of
portions’
Tip: d is for denominator, d
is for down – at the bottom.
Different value of
fractions
Writing Fractions
Example
Write the fraction:
Method:
Step1:
Write number starting from 1 on the shaded area until all portions are
numbered.
Step2:
Write the fraction with the last shaded number(4), and total portions
(7)
4
7
Practice
(1) Write the fraction:
(7/16) (8/12)
(2) (a) What fraction is in ‘BLUE”?
(b)
What fraction is in ‘ORANGE’?
(a) 1/8 (b) 2/8
(3) Shade the followings:
DIFFERENT TYPES OF FRACTIONS
PROPER FRACTIONS
A PROPER fraction is a fraction in
which the numerator is LESS than the denominator
3
|
4
|
2
|
|||||
8
|
,
|
5
|
,
|
3
|
IMPROPER FRACTIONS
An IMPROPER fraction is a fraction in
which the numerator is GREATER than or equal to
the denominator.
5
|
7
|
8
|
|||||
3
|
,
|
2
|
,
|
5
|
MIXED NUMBERS
A MIXED
NUMBER is made up of a WHOLE NUMBER
and a PROPER
FRACTION.
1 ⅖
|
,
|
2 ⅔
|
,
|
10 ⅞
|
Examples:
(1) Circle
the proper fractions
13 . 7 ,
1
8 5 3 Answer : 1/3
(2) Circle/s the improper fractions
9 ,
8 1 ⅖ Answer : 8/5
8
5
(3) Circle/s the mixed numbers
4 7 2 ⅔
9 3
Answer: 2 ⅔
CONVERT IMPROPER FRACTION TO MIXED NUMBER
Method 2: Long Division
7 / 3 =
7 ÷ 3 =
Tip: How to convert the fraction format into a long
division format
Example
Convert 11/5 into mixed number
Method
Step1: Change improper fraction to long division
CONVERT MIXED
NUMBER TO IMPROPER FRACTION
Example
Convert 1 ⅔ to an improper
fraction
Step 1 Denominator remains the same /3
Step 2: Multiply whole
number with denominator: 1 x 3 = 3
Step 3: Find numerator = number from step 2 + proper fraction
numerator: 3 + 2 = 5
Answer:
5
3
EQUIVALENT
FRACTIONS
Equivalent fractions are different
fractions that have the same values.
Example
-> 1
=
2 = 3
= 4 = 5
= 6
= 7 = 8
3 6 9
12 15
18 21 24
Finding Equivalent Fractions
Multiply or divide the
numerator and denominator by the same value -> different fractions with the same value
Example
3 = 3x2 = 6 20
= 20÷4 = 5
4
4x2 8 24 24÷4
6
LIKE FRACTIONS
Fractions that have the same denominators.
Example:
2
|
,
|
4
|
,
|
3
|
,
|
6
|
|||
7
|
7
|
7
|
7
|
~~~~ END ~~~~ :)
