Fractions of Quantities – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

A shark attacks a school of 12 fish. She eats 1 3 of them. How many does she eat? 4

A shark attacks a school of 12 fish. He eats 1 4 of them. How many does he eat? 3

A shark attacks a school of 12 fish. She eats 3 4 of them. How many does she eat? 9

A shark attacks a school of 16 fish. He eats 1 4 of them. How many does he eat? 4

A shark attacks a school of 16 fish. She eats 3 4 of them. How many does she eat? 12

a) 1 3 of them? b) 2 3 of them? 4 fish c) 1 4 of them? d) 3 4 of them? A shark attacks a school of 12 fish. How many does she eat, if she eats… a) 1 3 of them? b) 2 3 of them? c) 1 4 of them? d) 3 4 of them? e) 5 6 of them? 4 fish 8 fish 3 fish 9 fish 10 fish

a) 2 3 of them? b) 3 4 of them? 16 fish c) 3 8 of them? A shark attacks a school of 24 fish. How many does he eat, if he eats… a) 2 3 of them? b) 3 4 of them? c) 3 8 of them? d) 5 6 of them? e) 9 12 of them? 16 fish 18 fish 9 fish 20 fish 18 fish

20 5 5 5 5 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.

16 4 4 4 4 Tim’s mum buys 16 sweets and gives Tim 3 4 of them. How many sweets does Tim get? 16 4 4 4 4 Tim gets 12 sweets.

20 4 4 4 4 4 Tom & Chris share 20 sweets. Tom gets 2 5 of them. Chris gets 3 5 of them. How many sweets do they each get? 20 4 4 4 4 4 Tom gets 8 sweets. Chris gets 12 sweets.

Rob & Mike share 30 sweets. Rob gets 3 5 of them. Mike gets 2 5 of them. How many sweets do they each get? 30 6 6 6 6 6 Rob gets 18 sweets. Mike gets 12 sweets.

24 4 4 4 4 4 4 Hannah & Sal share 24 sweets. Hannah gets 5 6 of them. Sal gets 1 6 of them. How many sweets do they each get? 24 4 4 4 4 4 4 Hannah gets 20 sweets. Sal gets 4 sweets.

Jess & Tom share 24 sweets. Jess gets 3 8 of them. Tom gets 5 8 of them. How many sweets do they each get? 24 3 3 3 3 3 3 3 3 Jess gets 9 sweets. Tom gets 15 sweets.

32 4 4 4 4 4 4 4 4 Joe & Polly share 32 sweets. Joe gets 5 8 of them. Polly gets 3 8 of them. How many sweets do they each get? 32 4 4 4 4 4 4 4 4 Joe gets 20 sweets. Polly gets 12 sweets.

36 4 4 4 4 4 4 4 4 4 Anna & Josh share 36 sweets. Anna gets 4 9 of them. Josh gets 5 9 of them. How many sweets do they each get? 36 4 4 4 4 4 4 4 4 4 Anna gets 16 sweets. Josh gets 20 sweets.

Ash & Sam share 54 sweets. Ash gets 7 9 of them. Sam gets the rest. How many sweets do they each get? 54 6 6 6 6 6 6 6 6 6 Ash gets 42 sweets. Sam gets 12 sweets.

Draw a bar model to answer each pair of questions. EXAMPLE A bar model to find 2 5 of 20. Draw a bar model to answer each pair of questions. 1 5 of 20 3 5 of 20 Find… & 3 8 of 32 7 8 of 32 Find… & 5 9 of 45 Find… & 5 12 of 60 7 12 of 60 Find… & 2 9 of 45

Draw a bar model to answer each pair of questions. EXAMPLE A bar model to find 2 5 of 20. Draw a bar model to answer each pair of questions. 1 5 of 20 3 5 of 20 Find… & 3 8 of 32 7 8 of 32 Find… & 4 12 12 28 5 9 of 45 Find… & 5 12 of 60 7 12 of 60 Find… & 2 9 of 45 10 25 25 35

Fractions of Quantities Answers. 6) 5 6 of 120 = 12) 11 9 of 45 = 18) 180 100 of 90 =

Fractions of Quantities Answers. 6) 5 6 of 120 = 100 12) 11 9 of 45 = 55 18) 180 100 of 90 = 162

Jo and Mo share the 20 sweets they bought. Jo gets 3 10 of them. Mo gets 7 10 of them. How many do they each get? Sam and Pam share the 25 sweets they bought. Sam gets 3 5 of them. Pam gets 2 5 of them. How many do they each get? 2 friends share 56 marbles between them. One person gets 4 7 . How many does the other person get? 3 friends share £120. One person gets 3 12 , another gets 6 9 . How much does each person get?

Answers Jo and Mo share the 20 sweets they bought. Jo gets 3 10 of them. Mo gets 7 10 of them. How many do they each get? Sam and Pam share the 25 sweets they bought. Sam gets 3 5 of them. Pam gets 2 5 of them. How many do they each get? 6 15 14 10 Answers 2 friends share 56 marbles between them. One person gets 4 7 . How many does the other person get? 3 friends share £120. One person gets 3 12 , another gets 6 9 . How much does each person get? Answers £30, £80, £10 32 and 24 marbles

How many sweets does Mo get? Tom and Dom share the sweets they bought. Jo and Mo share 55 sweets they bought. Jo gets 2 11 of them. How many sweets does Mo get? Tom and Dom share the sweets they bought. Dom gets double what Dom gets. What fraction do they each get? 3 friends share 240 marbles between them. One person gets 5 12 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

Answers 1 3 , 2 3 1 2 £54 Jo and Mo share 55 sweets they bought. Jo gets 2 11 of them. How many sweets does Mo get? Tom and Dom share the sweets they bought. Dom gets double what Dom gets. What fraction do they each get? 1 3 , 2 3 Answers 45 3 friends share 240 marbles between them. One person gets 5 12 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

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