9780008161873

Recognise equivalent fractions Some fractions are equal to other fractions. We call them equivalent fractions.

Example: Hira has a pizza. She divides it into 3 equal pieces. She eats 1 piece, 1 so she eats 3 .

Leo buys a pizza too. He divides it into 6 equal pieces. He eats 2 pieces, so 2 he eats 6 .

1

2

Hira eats 3 . Leo eats 6 . They eat the same amount.

1 3

and

2 6

are equivalent fractions.

Warm up 1

Look at the shapes below. Which shapes have A

2

B

shaded?

C

Look at the shapes below. Which shapes have A

10

B

1 2

C

D

1 4

shaded?

D

Test yourself 3

Look at the fraction tiles below.

1 2

1 2

1 4

1 4

1 6

1 6

1 8

1 8

1 4 1 6

1 8

1 4

1 6

1 8

1 6

1 8

1 8

1 6 1 8

1 8 1

Write all the fractions equivalent to 2 .

4

Someone has been nibbling at the pizzas!

Which pizzas have

1 4

A

missing?

B

C

D

Challenge yourself 5

Look at the fraction wall. Find all the equivalent fractions for the following. a)

1 2

b)

1 3

c)

1 4

d)

2 3

e)

3 4

1 1 2

1 2

1 3

1 3

1 4

1 4

1 5 1 6 1 8 1 10 1 12

1 3 1 4

1 5 1 6 1 8

1 5

1 5

1 6 1 8

1 1 1 10 10 10 1 1 1 1 12 12 12 12

1 4

1 6 1 8 1 10 1 12

1 8 1 10 1 12

1 5 1 6

1 6 1 8

1 8

1 1 1 10 10 10 1 1 1 1 12 12 12 12

How did you do?

1 8 1 10 1 12

11

Progress test 3 1

Look at the shaded fractions. Write the letters in order from the smallest fraction to the largest.

A

2

B

Look at the shaded fractions. Write the letters in order from the smallest fraction to the largest.

D A

B

C

D

Which is the bigger fraction in each pair?

6

3 8

b) 5

3

5 5

2 6

5 6

a) 8

c)

3

C

7

8

Copy these fractions in order from smallest to largest.

4 5

4

2

Lea has 7 of a pizza, Marcus has 7 of another pizza the same size. Who has more pizza?

9

5 5

1 5

3 5

2 5

Mick and Mina each have an apple pie. Mick 5 ate 6 of his apple pie. His sister Mina has 9 12 of her apple pie. Who ate more pie?

10 Copy these fraction pairs. Put either >, < 4

Which of the fractions below is smaller 2 than 6 ?

4 6

5

5 6

1 6

3 6

1

a) 3

Put these fractions in order from the smallest to the largest.

5 21

7 21

2 21

18 21

or = between the fractions to make the statement correct. The first one has been done for you.

3 21

3

1 8

1 2

2 4

1

1 4

c)

Which is the bigger fraction in each pair?

1

1 4

b) 6

1

1 5

1 3

1 5

a) 3

c)

26

1 4

b) 8

d) 5

6

>

Score

/ 10

Progress test 4 1

Copy each fraction pair. Circle the bigger fraction from each pair.

4

1 7

5

8 9

8 12

6 12

a) 7 b) 9 c)

2

6

Which of the fractions below is greater 1 than 2 ?

4 8

7

5 8

8

20 25

B

C

1

1 6

D

1

1 9

1 10

1 5

b) 4

3

Copy these fraction pairs. Use <, > or = between each pair to make the statement correct. You can use the fraction wall on page 11 to help you.

2

1 5

b) 3

2

3 6

5 8

1 2

a) 10

c)

4

5

1 12

1 8

10 25

Look at the shaded fractions. Write the letters in order from the smallest fraction to the largest.

A

B

C

D

10 Are these fractions less than 13 ?

Copy these fractions in order from smallest to largest.

1 6

c)

9

15 25

Write each fraction pair. Circle the smaller fraction from each pair. a) 8

A

3 8

Put these fractions in order from the smallest to the largest.

5 25

Look at the shaded fractions. Write the letters in order from the smallest fraction to the largest.

1 8

1 9

1 16

Answer Yes or No for each one.

5

a) 6 1

b) 6

The boys all have fractions of pie.

c)

3 6 2

d) 6

3

5

2

Mike has 8 , Max has 8 and Paul has 8 .

Who has the most pie?

Score

/ 10

27

Subtract fractions We can subtract fractions that have the same denominator.

Example: Liam chops an apple into quarters. He gives one quarter away. How many quarters does he have left?

4 4

1 4

–

=

3 4

Warm up 1

Draw and shade the answers to these subtractions. a)

–

=

b) –

=

c) –

2

=

Draw and shade the answers to these subtractions. a)

–

=

b) – c)

30

= –

=

Test yourself 3

Copy these shapes and write the answers to these subtraction calculations as shaded fractions. a) –

=

b) –

=

c) – 4

=

Esha cuts her birthday cake into 8 equal pieces. She gives her friends. How much birthday cake is left over?

5 8

of the cake to

Challenge yourself 5

6

Copy these subtraction calculations and write the answers. a)

6 7

–

3 7

=

b)

5 8

–

1 8

=

c)

6 9

–

4 9

= 2

Jake, Zoe and Linda share an omelette. Jake eats 6 , Zoe eats What fraction of omelette is left over?

How did you do?

1 6

2

and Linda 6 .

31