1. goteachmaths.co.uk Fraction of a Quantity – Complete Lesson
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2. 28 February 2019
Fraction of a Quantity

3. Shade What would of 12 be?
Shade What would of 24 be?
Shade What would of 12 be?
Shade What would of 24 be?
Shade What would of 12 be?
Shade What would of 24 be?
Shade What would of 12 be?
Shade What would of 24 be?

6. Shade What would of 12 be? 3
Shade What would of 24 be? 3
Shade What would of 12 be?
Shade What would of 24 be? 4 15
Shade What would of 12 be?
Shade What would of 24 be? 9 20
Shade What would of 12 be? 8
Shade What would of 24 be? 16

7. Shade What would of 12 be? 3
Shade What would of 24 be? 3
Shade What would of 12 be?
Shade What would of 24 be? 4 15
Shade What would of 12 be?
Shade What would of 24 be? 9 20
Shade What would of 12 be? 8
Shade What would of 24 be? 16

8. A shark attacks a school of 12 fish.
She eats of them.
How many does she eat?

9. A shark attacks a school of 16 fish.
She eats of them.
How many does she eat?

10. A shark attacks a school of 16 fish. She eats 3 4 of them.
How many does she eat?
No animations.

11. 5 7 of 42 = 30. A shark attacks a school of 42 fish.
She eats of them.
How many does she eat?
1) Find of the amount.
42 ÷ 7 = 6
2) Multiply the fraction by the numerator.
6 x 5 = 30
5 7 of 42 = 30.

12. 5 7 of 42 = 30. A shark attacks a school of 42 fish.
She eats of them.
How many does she eat?
1) Find of the amount.
42 ÷ 7 = 6
2) Multiply the fraction by the numerator.
6 x 5 = 30
No animations.
5 7 of 42 = 30.

13. Jo’s mum buys 20 sweets and gives Jo 1 4 of them
How many sweets does Jo get? 20 5 5 5 5
Jo gets 5 sweets.

14. 5 5 5 5 5 5 5 5 40 Jo gets 25 sweets. Mo gets 15 sweets.
Jo and Mo share the 40 sweets they bought.
Jo gets of them.
Mo gets of them. How many do they each get? 40 5 5 5 5 5 5 5 5
Jo gets 25 sweets.
Mo gets 15 sweets.

15. 8 8 8 8 8 8 8 8 8 72 Jen gets 32 sweets. Ben gets 40 sweets.
Jen and Ben share the 72 sweets they bought.
Jen gets of them.
Ben gets of them. How many do they each get? 72 8 8 8 8 8 8 8 8 8
Jen gets 32 sweets.
Ben gets 40 sweets.

16. 8 8 8 8 8 8 8 8 8 72 Jen gets 32 sweets. Ben gets 40 sweets.
Jen and Ben share the 72 sweets they bought.
Jen gets of them.
Ben gets of them. How many do they each get? 72 8 8 8 8 8 8 8 8 8
Jen gets 32 sweets.
Ben gets 40 sweets.

17. Calculate of 20.

18. Calculate of 18.

19. To calculate a fraction of an amount:
Calculate of 25.
To calculate a fraction of an amount:
Divide by the denominator
Multiply by the numerator
1) Divide by the denominator: 25 ÷ 5 = 5
2) Multiply by the numerator: 5 x 3 = 15

20. Calculate of 20.
1) Divide by the denominator: 20 ÷ 4 = 5
2) Multiply by the numerator: 5 x 3 = 15
3 4 of 20 is 15

21. Calculate of 42.
1) Divide by the denominator: 42 ÷ 7 = 6
2) Multiply by the numerator: 6 x 5 = 30
5 7 of 42 is 30

22. 1) of 30 =
7) of 30 =
13) of 40 =
2) of 24 =
8) of 49 =
14) of 140 =
3) of 42 =
9) of 40 =
15) of 35 =
4) of 60 =
10) of 63 =
16) of 90 =
5) of 25 =
11) of 72 =
17) of 80 =
6) of 120 =
12) of 45 =
18) of 90 =

23. 1) of 30 = 20
7) of 30 = 5
13) of 40 = 35
2) of 24 = 12
8) of 49 = 21
14) of 140 = 100
3) of 42 = 7
9) of 40 = 25
15) of 35 = 84
4) of 60 = 40
10) of 63 = 49
16) of 90 = 96
5) of 25 = 15
11) of 72 = 42
17) of 80 = 100
Answers.
6) of 120 = 100
12) of 45 = 60
18) of 90 = 162

24. Jo and Mo share the 20
sweets they bought.
Jo gets of them.
Mo gets of them.
How many do they each get?
Sam and Pam share the 25
sweets they bought.
Sam gets of them.
Pam gets of them.
How many do they each get?
2 friends share 56 marbles
between them.
One person gets
How many does the other
person get?
3 friends share £120.
One person gets , another gets
How much does each person get?

25. Answers Jo and Mo share the 20 sweets they bought.
Jo gets of them.
Mo gets of them.
How many do they each get?
Sam and Pam share the 25
sweets they bought.
Sam gets of them.
Pam gets of them.
How many do they each get? 6 15 14 10
Answers
2 friends share 56 marbles
between them.
One person gets
How many does the other
person get?
3 friends share £120.
One person gets , another gets
How much does each person get?
Answers
£30, £80, £10
32 and 24 marbles

26. How many do they each get? Sam and Pam share the 45
Jo and Mo share the 30
sweets they bought.
Jo gets of them.
Mo gets of them.
How many do they each get?
Sam and Pam share the 45
sweets they bought.
Sam gets of them.
Pam gets of them.
How many do they each get?
2 friends share 84 marbles
between them.
One person gets
How many does the other
person get?
3 friends share £144.
One person gets £22, another gets
£26.
What fraction does the other
person get?
Answers

27. Answers Jo and Mo share the 30 sweets they bought.
Jo gets of them.
Mo gets of them.
How many do they each get?
Sam and Pam share the 45
sweets they bought.
Sam gets of them.
Pam gets of them.
How many do they each get? 10 35 20 10
Answers
2 friends share 84 marbles
between them.
One person gets
How many does the other
person get?
3 friends share £144.
One person gets £22, another gets
£26.
What fraction does the other
person get?
Answers
2 3
49 and 35 marbles

28. How many sweets does Mo get? Tom and Dom share the 60
Jo and Mo share the 55
sweets they bought.
Jo gets of them.
How many sweets does Mo get?
Tom and Dom share the 60
sweets they bought.
Tom gets 𝑥 of them.
Dom gets double that.
What fraction do they each get?
3 friends share 240 marbles between them.
One person gets of the marbles.
Another person gets 20 marbles.
What fraction of the marbles
does the third person get?
5 friends share £188.
One person gets £46, another gets
£34.
The other people share the
remaining money in the ratio 1:2:3.
How much is the biggest quantity?
Answers

29. Answers 1 3 , 2 3 1 2 £54 Jo and Mo share the 55 sweets they bought.
Jo gets of them.
How many sweets does Mo get?
Tom and Dom share the 60
sweets they bought.
Tom gets 𝑥 of them.
Dom gets double that.
What fraction do they each get?
1 3 , 2 3 45
Answers
3 friends share 240 marbles between them.
One person gets of the marbles.
Another person gets 20 marbles.
What fraction of the marbles
does the third person get?
5 friends share £188.
One person gets £46, another gets
£34.
The other people share the
remaining money in the ratio 1:2:3.
How much is the biggest quantity?
Answers
1 2
£54

30. Amber Can you find the mistakes? Correct them when you do!
When you think you’ve found all the mistakes,
answers the questions around the outside.

31. Amber Amber Can you find the mistakes? Correct them when you do!
When you think you’ve found all the mistakes,
answers the questions around the outside.
Can you find the mistakes?
Correct them when you do!
When you think you’ve found all the mistakes,
answers the questions around the outside.
Two worksheets to print.
Amber
Amber

32. Answers
Amber

33. Answers
9 7 𝑜𝑓 42=54
5 4 𝑜𝑓 40=50
7 12 𝑜𝑓 72=42
𝑜𝑓 60=55
8 9 𝑜𝑓 36=32
6 7 𝑜𝑓 140=120
4 9 𝑜𝑓 54=24
3 7 𝑜𝑓 77=33
4 5 𝑜𝑓 85=68
3 7 𝑜𝑓 63=27
3 4 𝑜𝑓 68=51
2 3 𝑜𝑓 120=80

34. Green Can you find the mistakes? Correct them when you do!
When you think you’ve found all the mistakes,
answers the questions around the outside.
Spot the Mistake worksheet.

35. Green Green Can you find the mistakes? Correct them when you do!
When you think you’ve found all the mistakes,
answers the questions around the outside.
Can you find the mistakes?
Correct them when you do!
When you think you’ve found all the mistakes,
answers the questions around the outside.
Two A5 worksheets to print.
Green
Green

36. Answers
Green

37. Answers
15 6 𝑜𝑓 54=135
13 7 𝑜𝑓 56=104
13 9 𝑜𝑓 18=26
9 4 𝑜𝑓 88=198
7 3 𝑜𝑓 60=140
5 3 𝑜𝑓 120=200
5 2 𝑜𝑓 28=70
6 5 𝑜𝑓 120=144
7 6 𝑜𝑓 360=420
𝑜𝑓 78=84
11 9 𝑜𝑓 72=88
6 3 𝑜𝑓 240=480

38. Check your success! I can calculate a fraction of an amount.
I am confident calculating a fraction of an amount.
I can calculate an improper fraction of an amount.

39. Check your success! I can calculate a fraction of an amount.
I am confident calculating a fraction of an amount.
I can calculate an improper fraction of an amount.