Maths
Fractions
Year One
Maths | Fractions | Improper and Mixed Fractions | Lesson 1 of 4: Introduction to Mixed Numbers and Improper Fractions
Improper Fractions
Question
×
How many thirds make 1
whole? Is this fraction less or
greater than 1 whole?
1 whole is equivalent to
is greater than 1.
What fraction does this
representation show?
3
3
so
8
3
Improper Fractions
Improper Fractions
These
fractions
are
Which
Can
representations
you say
the
greater
than 1that
whole.
show
improper
fraction
fractions?
each
Theyshape
areyou
improper
How
do
represents?
know?
fractions.
3
3
2
3
6
4
0
1
4
2
4
3
4
4
4
5
4
6
4
7
4
12
5
Improper Fractions
Which fractions are improper fractions?
How do you know?
3
4
6
3
1
5
2
5
1 whole is equivalent
equivalent to
to 43 quarters.
thirds.
6
7
An improper
fraction
a numerator
that
has more
thanhas
3 thirds,
4
quarters,
so so
thisthis
4
3
is greater
than
the more
denominator.
This means
means
it has
than 1 whole.
that the fraction is more than 1 whole.
7
4
Representing Improper Fractions
Let’s spot some
improper fractions to
practise what we’ve
learnt!
Which improper
fraction does this
representation show?
13
5
13
4
15
4
11
5
Representing Improper Fractions
Which representation shows 15
?
4
Explain how you know.
Representing Improper Fractions
Match the improper fractions
to the correct representations.
5
4
7
3
10
4
12
3
Representing Improper Fractions
=
13
5
Representing Improper Fractions
13
13
Jack
wants
to
show
using
is
13
sixths.
Each
counter
6
6
counters.
manyso
of Jack
the will
representsHow
one-sixth
following
counters will he need
need 13 counters.
to show 13
?
6
1
6
Mixed Numbers
The other way to write a
fraction greater than 1 is as a
mixed number. A mixed
number tells us how many
wholes and how many parts
there are.
Let’s write this representation
as a mixed number.
What improper fraction does
this representation show?
Mixed Numbers
Improper
Mixed Numbers
Fractions
1
1
3
4
0
1
4
2
4
3
4
1
3
WhichCan
representations
you say the
show fraction
mixed numbers?
that each
Howshape
do you
represents?
know?
These fractions are
greater than 1 whole.
They are mixed numbers.
4
7
4
4
1 41 1 42 1 43
4
6
Mixed Numbers
Which
Can
fractions
you think
areof
mixed
any other
numbers?
How
mixed
do numbers?
you know?
3
24
5
13
1
5
2
45
6
14
1 5343 and
2
and 412546 are
both
mixed
havenumbers.
an improper
They
A mixed
has
an
(whole
bothnumber
fraction.
have
This
a iswhole
notinteger
the
number
right
way
andnumber)
to
a
and awrite
properafraction.
fraction
fraction
less
than
proper
mixed (a
number.
We
read We
them
never
as 1).
A mixed
is more
than 1 whole.
‘twonumber
write
and
mixed
three-quarters’
numbers
and
with ‘four
an
and two-fifths’.
improper
fraction.
Representing Mixed Numbers
Let’s spot some mixed
numbers to practise
what we’ve learnt!
Which mixed
number does this
representation show?
4
26
2
25
2
26
2
36
Representing Mixed Numbers
Which representation shows 3 41 ?
Explain how you know.
Representing Mixed Numbers
Match the mixed fractions to
the correct representations.
1
24
2
23
4
35
1
26
Representing Mixed Numbers
Improper Fractions and Mixed Numbers
Improper Fractions and Mixed Numbers
Write this representation as an improper
fraction and as a mixed number.
Improper Fractions and Mixed Numbers
Write this representation as an improper
fraction and as a mixed number.
Improper fraction =
17
5
Mixed number = 3
2
5
Fraction Number Line
0
1
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
3
0
1
3
2
3
1
1 31
1 32
2
2 31
2 32
3
1
3
1
3
1
3
1
3
1
3
1
3
1
3
1
3
1
3
Fraction Number Line
0
1
3
2
3
3
3
4
3
5
3
6
3
7
3
8
3
9
3
0
1
3
2
3
1
1 31
1 32
2
2 31
2 32
3
1
3
1
3
1
3
1
3
1
3
1
3
1
3
1
3
Introduction to Mixed Numbers
and Improper Fractions
Use your
marvellous maths
skills to complete
these activities.
Diving into Mastery
Dive in by completing your own activity!
Write It Right
As a mixed
number, this is
26.
4
Do you agree or disagree?
Explain why.
Disagree!
Although there are 2 wholes
and 6 quarters, this is not
how we write it. We always
count all the wholes and then
the leftover parts. This
representation has more than
2 wholes.
There are 3 wholes and 2
2
quarters, which makes 3 4 .