1. Fraction Revision

2. Finding Fractions of Amounts3 5
If you are asked for of an amount 1 5 3 5
Find by dividing by 5 and then find by multiplying by 3. 3 5
To find of 60:
60 ÷ 5 = 12
12 x 3 = 36 3 5
of 60 is 36

3. Finding Fractions of Amounts2 7
If you are asked for of an amount 1 7 2 7
Find by dividing by 7 and then find by multiplying by 2. 2 7
To find of 35:
35 ÷ 7 = 5
5 x 2 = 10 2 7
of 35 is 10

4. Finding Fractions of Amounts5 9
If you are asked for of an amount 1 9 5 9
Find by dividing by 9 and then find by multiplying by 5. 5 9
To find of 63:
63 ÷ 9 = 7
5 x 7 = 35 5 9
of 63 is 35

5. Finding Fractions of Amounts
A quick way to remember what to do is:
“Divide by the bottom, times by the top”

6. Fractions of Amounts
10 multiple choice questions, work out your answer then click to see if you were right

7. What is.. 1
of 60 2 15 6 A) B) 30 40 C) D)

8. What is.. 1
of 60 4 20 15 A) B) 4 12 C) D)

9. What is.. 1
of 36 3 6 9 A) B) 8 12 C) D)

10. What is.. 1
of 56 4 14 16 A) B) 12 18 C) D)

11. What is.. 3
of 66kg 6
13kg
11kg A) B)
21kg
33kg C) D)

12. What is.. 3
of 100m 4 m
75m A) B)
80m
25m C) D)

13. What is.. 3
of 100ml 5
20ml
60ml A) B)
35ml
15ml C) D)

14. What is.. 1
of €200 8
€45
€50 A) B)
€80
€25 C) D)

15. What is.. 20
Of 280 40 80
100 A) B)
140
120 C) D)

16. What is.. 7
of 90 9 70 49 A) B) 81 74 C) D)

17. Equivalent Fractions

18. Three friends each have 12 sweets
2/4, ½ and 3/6 look different but these fractions are all the same, they are EQUIVALENT
They all eat 6 sweets
Three friends each have 12 sweets
Abbie puts hers into 4 piles and eats 2 of them
Libby puts hers into 2 piles and eats 1 of them
Chrissy puts hers into 6 piles and eats 3 of them
Chrissy has had 3/6
Abbie has had 2/4
Libby has had 1/2

19. Are these fractions EQUIVALENT?
Simplify the fractions 8 1 ÷8 24 3
Look for the biggest number that goes into the top and bottom of the fractions
Divide by the number 12 1
÷12
These fractions are equivalent 36 3

20. Are these fractions EQUIVALENT?
Simplify the fractions 8 4 ÷2 10 5
Look for the biggest number that goes into the top and bottom of the fractions 12
Divide by the number 3 ÷4
These fractions are NOT equivalent 16 4

21. Are these fractions EQUIVALENT?
Simplify the fractions 9 3 ÷3
Look for the biggest number that goes into the top and bottom of the fractions 12 4
Divide by the number 21 3 ÷7
These fractions are equivalent 28 4

22. What number goes here? 15 3 ÷5 20 4 32 4 ÷8 40 5

23. What number goes here? 2 8 X8 3 24 1 9 X9 5 45

24. Equivalent Fractions
10 multiple choice questions. Work out your answer then click to see if you were right

25. Which fraction is equivalent to....12 39 28 A) B) 48
4 10 C) D)

26. Which fraction is equivalent to....13 39
4 12 A) B) 48
5 20 C) D)

27. Which fraction is equivalent to....14
5 16
7 21 A) B)
3 10
4 16 C) D)

28. Which fraction is equivalent to....
1 10
3 30
4 44 A) B)
4 44
4 44 C) D)

29. Which fraction is equivalent to....34
12 20
18 20 A) B)
16 20
15 20 C) D)

30. Which fraction is equivalent to....25
6 25
6 15 A) B)
8 22
12 35 C) D)

31. Which fraction is equivalent to....56
15 24
30 36 A) B)
35 36
10 18 C) D)

32. Which fraction is equivalent to....49
12 54
16 81 A) B)
8 27
1636 C) D)

33. Which fraction is equivalent to....57
10 21
35 35 A) B)
3042
15 28 C) D)

34. Which fraction is equivalent to....
9 11
6377
27 22 A) B)
63 88
45 44 C) D)

35. Cancelling fractions down
It is often best to have the numbers as small as possible when we write fractions
12 20 3 5
Instead of
we would have
We have cancelled the fractions down, by dividing top and bottom numbers by the same number (in this case 4)

36. 15 35 3 7 =
Divide by 5
24 36 2 3 =
Divide by 12
55 66 5 6 =
Divide by 11

37. Cancelling fractions down
If we pick the biggest number possible to divide by we only have to cancel down once. We must always check that there are no more numbers which go into the top and bottom number When there are no more numbers which go into the top and bottom of the fraction, the fraction is FULLY SIMPLIFIED or CANCELLED DOWN FULLY

38. 10 multiple choice questions
Cancelling Fractions
10 multiple choice questions

39. Cancel completely
1215
3 5
3 4 A) B)
2 5 45 C) D)

40. Cancel completely 48 13 28 A) B) 12
1 4 C) D)

41. Cancel completely
7 21
1 3 37 A) B) 18
1 7 C) D)

42. Cancel completely
1525
3 4
4 5 A) B)
5 6
3 5 C) D)

43. Cancel completely
28 32
7 8
7 14 A) B)
14 16
4 6 C) D)

44. Cancel completely
2736
5 7
3 5 A) B)
6 8
3 4 C) D)

45. Cancel completely
2460
3 8
2 5 A) B)
2 7
1 5 C) D)

46. Cancel completely
5566
8 9
5 6 A) B)
6 7
4 6 C) D)

47. Cancel completely
48 64 34
4 6 A) B)
3 5
2 3 C) D)

48. Cancel completely
5672
1 2
2 5 A) B) 79
6 7 C) D)

49. Mixed numbers and improper fractions
When you see a fraction with a large number in front of it, this is a MIXED NUMBER. 2 2 3
This mean, 2 and 2 thirds
When we have a fraction where the number at the top (NUMERATOR) is bigger than the number at the bottom (DENOMINATOR) we have an IMPROPER FRACTION 5 3 8 4 9 2

50. Mixed numbers and improper fractions
You need to be able to:
turn MIXED NUMBERS into IMPROPER FRACTIONS
turn IMPROPER FRACTIONS into MIXED NUMBERS

51. Improper fractions to mixed numbers14 3
How many 3’s go into 14? 4
What is the remainder? 2
So we can make 4 wholes and we have 2 thirds left over: 14 3 = 4 2 3

52. Improper fractions to mixed numbers19 5
How many 5’s go into 19? 3
What is the remainder? 4
So we can make 3 wholes and we have 4 fifths left over: 19 5 = 3 4 5

53. Improper fractions to mixed numbers31 10
How many 10’s go into 31? 3
What is the remainder? 1
So we can make 3 wholes and we have 1 tenth left over: 31 10 = 3 1 10

54. Mixed Numbers to Improper fractions
To turn the mixed numbers into top heavy fractions: 3 1 10 31 10 =
Multiply these numbers together= 30
Add on the number at the top=
31 (this will be the top number)
The number at the bottom will stay the same

55. Mixed Numbers to Improper fractions
To turn the mixed numbers into top heavy fractions: 5 3 4 23 4 =
Multiply these numbers together= 20
Add on the number at the top=
23 (this will be the top number)
The number at the bottom will stay the same

56. Mixed Numbers to Improper fractions
To turn the mixed numbers into top heavy fractions: 6 2 5 32 10 =
Multiply these numbers together= 30
Add on the number at the top=
32 (this will be the top number)
The number at the bottom will stay the same

57. 10 multiple choice questions
Improper fractions
10 multiple choice questions

58. 2 = 2 3 22 3 4 3 A) B) 8 3 7 3 C) D)

59. 3 = 4 5 17 5 19 5 A) B) 34 5 12 5 C) D)

60. 4 = 1 2 8 2 4 2 A) B) 12 2 9 2 C) D)

61. 10 = 3 5 53 5 13 4 A) B) 35 5 50 5 C) D)

62. 6 = 1 3 18 3 9 3 A) B) 6 3 19 3 C) D)

63. = 10 3 1 3 A) 9 3 B) 1 3 2 9 1 3 C) 1 3 D)

64. = 57 8 8 6 A) 1 8 B) 2 8 7 9 3 8 C) 1 8 D)

65. = 15 4 4 3 A) 3 4 B) 1 4 3 4 1 4 C) 3 4 D)

66. = 21 10 2 1 A) 1 10 B) 11 10 10 2 11 20 C) 1 2 D)

67. = 26 5 4 5 A) 1 5 B) 6 5 6 5 1 5 C) 1 5 D)

68. Fractions and Percentages
Think of percentages as fractions with 100 as the denominator so, 17
100
17 % = 32
100
32 % = 88
100
88 % =

69. Fractions and Percentages
Some fractions can be simplified 25
100 1 4
25 % = = 55
100 11 20
55 % = = 30
100 3 10
30 % = =

70. Fractions and Percentages
To turn a fraction into a percentage you need to use what you know about equivalent fractions. Turn your fraction into an equivalent fraction over 100. 12 60 x5 20
100
60%

71. Fractions and Percentages
To turn a fraction into a percentage you need to use what you know about equivalent fractions. Turn your fraction into an equivalent fraction over 100. 7 70
x10 10
100
70%

72. Fractions and Percentages
Sometimes you need to simplify the fraction first. 40 14 2
x20 =
100 35 5
40%

73. Fractions and Percentages
Sometimes you need to simplify the fraction first. 65 26 13 x5 =
100 40 20
65%

74. Practise Questions, click to show answers
60%
70% 8%
27%
80% 1 4 33
100 51
100 4 5 1 5

75. Fractions to Percentages
10 multiple choice questions, work out your answer then click to see if you were right

76. Convert this fraction to a percentage12
20%
100% A) B)
50%
40% C) D)

77. Convert this fraction to a percentage14
40%
25% A) B) 4% 2% C) D)

78. Convert this fraction to a percentage
1 10
10%
100% A) B) 1%
20% C) D)

79. Convert this fraction to a percentage15 2%
15% A) B) 5%
20% C) D)

80. Convert this fraction to a percentage34
80%
12% A) B)
45%
75% C) D)

81. 21 100 A) B) C) D) Convert this fraction to a percentage 0.21% 2.1%
210%
21% C) D)

82. Convert this fraction to a percentage
4 10 4%
40% A) B)
44%
10% C) D)

83. Convert this fraction to a percentage35 6%
15% A) B)
60%
80% C) D)

84. 1 100 A) B) C) D) Convert this fraction to a percentage 100% 1% 0.1%
0.110% C) D)

85. 13 A) B) C) D) Convert this fraction to a percentage 33.333333.. % 13%
11% C) D)

86. Fractions and Decimals
To turn fractions into decimals and decimals into fractions we need to remember column names
Thousandths
Hundreds
Tens
Units
Tenths
Hundredths

87. 0.03 0.5 Decimals to Fractions is 3 hundredths is 5 tenths 3 100 5 10

88. 0.12 0.01 Decimals to Fractions is 1 hundredth 12 is 12 hundredths 100
Tenths
0.12 12
100
is 12 hundredths
Tenths
Hundredths
0.01
is 1 hundredth 1
100

89. Don’t forget you may have to simplify
Decimals to Fractions
Don’t forget you may have to simplify
Hundredths
Tenths
Thousandths
0.032 32
1000
is 32 thousandths
Hundredths
Tenths
Thousandths
0.154
154
1000
is 154 thousandths

90. 000.000 Fractions to Decimals 7 10 = 0.7 64 100 = 0.64 3 100 = 0.03 =
Hundreds
Tens
Units
Tenths
Hundredths
Thousandths
Fractions to Decimals 7 10 =
0.7 64
100 =
0.64 3
100 =
0.03 =
0.053 =
0.152 53
1000 =
0.002
152
1000 2
1000

91. Fractions to Decimals
You can also turn fractions into decimals by dividing the top number by the bottom number either with a calculator or any other method you may know

92. To order fractions you need to know all about equivalent fractions
Ordering Fractions
To order fractions you need to know all about equivalent fractions

93. It’s difficult to order fractions when they have different denominators1 2 1 4 3 5 3 10 11 20
What number is in the 2,4,5,10 and 20 times table, we need a common multiple
20?

94. Make all fractions have 20 as a denominator1 2 1 4 3 5 3 10 11 20 10 20 5 20 15 20 6 20 11 20
Now order them 15 20 11 20 6 20 10 20 5 20

95. What denominator do we need now?1 3 4 6 2 5 5 12 5 6 20 60 40 60 24 60 25 60 50 60
Now order them 50 60 40 60 24 60 25 60 20 60

96. Ordering Fractions- click for answers
1/4 3/8 ½ and 4/8 3/4
2/5 ½ 3/5 and 6/10 2/29
1/3 5/12 1/1 4/6 3/4
1/4 1/2 2/3 5/6 7/8
1/4 2/5 1/2 6/10 3/4
1/3 4/9 1/2 2/3 5/6
2/6 1/4 5/12 2/3 7/9
2/7 2/4 5/8 11/14 3/2

97. The top number of a fraction is the NUMERATOR
Things you should know
The top number of a fraction is the NUMERATOR
The bottom number of a fraction is the DENOMINATOR
Fraction
Percentage
Decimal
1/2
50%
0.5
1/4
25%
0.25
3/4
75%
0.75
1/5
20%
0.2
1/10
10%
0.1
1/100 1%
0.01