Fraction -Types

1. FRACTIONS UNIT

2. Numerator = # on top
Denominator = # on the bottom
(down below)
The Denominator
How many equal parts are
described?
How many equal parts are in all
(total)?
You can also write it: 1/2

3. Parts of a Whole
 Whole = 1
complete thing
 Different from a
hole in the
ground

4. 1 WHOLE  fraction
 The top number and the bottom are the
same!
4 5 8 55 86
4 5 8 55 86
 Give me some more fractions
that equal 1 whole!

5. Parts of a Whole
4/6

7. Parts of a Whole
What’s the fraction we should write for
each?

8. Write a fraction for the part of each
flag that is red.
Italy Indonesia Taiwan
Austria Germany Spain

9. Draw a model to show each
fraction:
3 4 1
10 8 6

10. If 1/3 of a set is apples, what part is
NOT apples?

11. Draw a model of a set to show
each fraction.
2 1 5 7
3 5 6 8

12. Fractions on a Number Line
 Fraction Strips
How many
parts?
How many
parts?
How many
parts?
How many
parts?

13. Fractions on a number line
(continued)

14. TYPES OF FRACTIONS
Equivalent Fraction.
Like Fraction.
Unlike Fractions.
Proper Fraction.
Improper Fraction.
Unit Fraction.
Mixed Number.

15. Proper Fraction
 Proper fraction: fraction with a smaller number
on top (numerator) than the bottom
(denominator)

16. Improper Fraction
 Improper Fraction: fraction with the top number
(numerator) larger than the bottom number
(denominator).

17. Whole Number
 Whole number: regular whole
numbers without fractions.
Talk with a
partner, think
up and write 2
more WHOLE
NUMBERS on
your worksheet
packet page.

18. Mixed Number
 Mixed Number: A whole number
WITH a fraction.
Whole Number
Fractio
n

19. Fractions as Division
Statements
 Fractions are another way to write a division
statement!

20. Fractions and Division are
Related!
4
5
Fraction
Division
The numerator
always goes
inside the house!
The denominator
always goes
OUTSIDE the
house!

21. Improper Fractions: YOU CAN
DIVIDE!
 And get a whole number or mixed number!
12
4

22. Proper Fractions: You CANNOT
get a whole number or mixed
number.
2
3

23. Change each of the fractions into
division statements.
3 9 8
4 5 20
8 12 13
10 4 192

24. 1 Whole in fraction form
5
5
6
6
8
8
10
10
44
44
73
73
1
1
102
102
9
9
1
5
Which one is NOT a whole
number fraction?
Same digit on
the top and
same digit on
the bottom!

25. Multiply a fraction by 1 =
_______
THE SAME
NUMBER!!!!
3
4 1 3
4
So…
3
4
4
4

26. Equivalent Fractions
 Fractions that are EQUAL to
one another but “look”
differently.
2
4
1
2
=

27. How can you find equivalent
fractions without fraction bars?
 Remember: Any number multiplied or
divided by 1 is always itself!
2
5
1 2
5
2
5 1
2
5
Brought to you by…the IDENTITIY

28. Look at how ½ has MANY
Equivalents!

29. Multiply to get a more
“complicated” fraction!

30. Divide to get a more “simple”
fraction!

31. Find an equivalent fraction for
2/5!
2
5
*Multiply it by any
fraction that is
equal to 1 whole!
Because you are
multiplying will you get
a more complicated or
more simple equivalent
fraction?

32. Find an equivalent fraction for
4/6!
4
6
*Divide it by any
fraction that is
equal to 1 whole!
Because you are
dividing will you get a
more complicated or
more simple equivalent
fraction?

33. Let’s do one with a friend!
1
2

34. EQUIVALENT FRACTION
Fractions which express the same part of a whole
but have different names are called
Equivalent Fractions.
x =
Q .Change into an equivalent fraction with numerator as 20. (2 mark)
Ans: 4x5 = 20
9x5 =45
9
4
45
20

9
4


35. MISSING NUMERATOR OR DENOMINATOR OF
EQUIVALENT FRACTIONS
7
3
=
x 2
14
6
14
?
=
14 is 2 times 7
So, the missing numerator
must be 2 times 3.
3x2= 6
x 2
=
x 6
x 6
?
30
9
5
54
30
=
30 is 6 times 5
So, the missing numerator
must be 6 times 9.
9x6= 54

45
30
9
6
÷ 5
÷ 5 ?
6
=
30 ÷ 5 = 6
So, We divide 45 by 5.
45 ÷ 5 = 9

36. GOAL
 Convert mixed number to improper
fraction and vice versa​

37. CHANGING FRACTIONS
1. Improper fraction into mixed number.
5 1 4
2
1 0
4
Divisor
Natural Number Part
Remainder
5
4
2
5
14

Remainder
Divisor
Natural Number Part
Example
14 ÷ 5

39. 2. Mixed Number into Improper fraction
Step1: First multiply the whole number with denominator.
Step2: Then add product of whole number and denominator with numerator
Step3: Write the resultant number as numerator. Also write the denominator.
3
1
33
Example
Natural Number Part x Denominator + Numerator
(33 x 3) = 99 + 1 = 100
Natural Number Part x Denominator + Numerator
Numerator
=
Natural Number Part x Denominator
(33 x 3) = 99
3
100

41. QUESTIONS
18
12
3

24
18
4

50
10
5

20
4
3

20
10
2

40
5
3

50
45
10

56
8
5


42. LIKE FRACTION
Fractions having the same denominators are called
Like Fractions.
8
19
,
8
15
,
8
2
,
8
12
,
8
9
,
8
6
,
8
3
Addition and Subtraction of Like Fraction
6
14
6
9
6
5


Add the
Numerators
5 + 9 = 14
Denominators are same,
So we can add the
numerators
4
3
4
12
4
15


Subtract the
Numerators
15 – 12 = 3
Denominators are same,
So we can subtract the
numerators
Q. The fractions with same denominator are called as _____________ fractions. (1 Mark)
(i) Proper(ii) Like (iii) Unit (iv) Unlike
Ans: Like

43. UNLIKE FRACTION
Fractions having the different denominators are called
Unlike Fractions.
36
19
,
11
15
,
10
2
,
6
12
,
25
9
,
9
6
,
5
3

44. PROPER FRACTION
Fractions where numerators are smaller than
denominators are called
Proper Fractions
Value Of a Proper Fraction is always less than 1.
1
30
7
,
1
13
4
,
1
3
2
,
1
3
1





45. IMPROPER FRACTION
Fractions where numerators are greater than
denominators are called Improper Fractions
3
19
,
7
15
,
10
22
,
5
12
,
25
99
,
9
16
,
5
33
Value Of a Proper Fraction is always greater than 1.
1
25
99
,
1
9
16
,
1
5
33




46. UNIT FRACTION
Fractions having 1 in the numerator are called
Unit Fractions.
3
1
,
7
1
,
10
1
,
5
1
,
25
1
,
9
1
,
5
1
Q. What is a Unit Fraction? Give an example. ( 1 Mark)
Ans: Fractions having 1 in the numerator are called Unit Fractions.
5
1
Example:

47. MIXED NUMBER
Improper fraction written as a combination of a natural
number and a proper fraction is called a
Mixed Number.
,
3
1
33
,
5
1
11
,
8
6
7
,
3
2
6
,
5
1
3
3 Whole 8
5
8
5
3
Q. Convert into mixed number. (1 ½ Mark)
Ans: Natural Number Part = 5
Proper fraction =
13
68
13
5
Proper
fraction
Natural
number

48. FRACTION AS DIVISION
Pasha has 4 marbles.
He distributes these
marbles
equally among 2 of her
friends.
Each gets = 4 ÷ 2
= 2 Marbles
If Tobo has 2 mangoes
to distribute equally
among 2 of his friends.
Each gets = 2 ÷ 2
= 1 Mango
If Dobo has 1 apple to
distribute equally
among 2 of his friends.
Each gets = 1 ÷ 2
=
Apple
Some Other Examples
5
17
= 17 ÷ 5
5
9
= 9 ÷ 5
2
1

49. 5
7
12 24 12 24 36
50 50 50 50


 
35 23 35 23 12
50 50 50 50


 

50. FRACTIONS
What are Fractions
Fractions are a PART of a WHOLE
Equivalent
Fraction
Like
Fraction
Unlike
Fractions
Proper
Fraction
Improper
Fraction
Unit
Fraction
Mixed
Number
Examples

51. Maths Mastery
Identify, Name and Write
Equivalent Fractions
GOAL
Compare and order
fractions whose
denominators are all
multiples of the same
number

53. Write
 Write three equivalent fractions:
3
4
2
5
1
6
6
8
9
12
12
16
4
10
6
15
8
20
2
12
3
18
4
24
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