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