Fractions: Making sense

Look at the shaded part in these shapes:

32

21

43

83

21

43

32

83and

Fractionsare called

A fraction is part of a whole.

61

61

61

61

61

66

+ + + + + =61

=161

61

6161

61

61

Each part is called one sixth.

If we cut the tart into 6 equal parts, this is what we get.

This pie is divided into 6 equal parts.

If we cut off 61

65

The

remaining

part is:

61

616

1

61

61

61

This pie is divided into 8 equal parts.

If we cut off 81

87

The

remaining

part is:

A Fraction is made up of 2 numbers

The top number is called the

numerator

The bottom number

is called the denominator83

What fraction of this shape is shaded?

43

denominatorTells us in how many parts the shape is divided.

numeratorTells us how many parts are shaded.

1

2

24

13

3

What fraction of each shape is shaded?

A=

B =

C=85

107

65

83

D=

of the circles are blue. 51

What fraction of the circles are blue?

What fraction of each of these shapes is red?

Look at these shapes

83

21

41

21

81

21

What fraction of each of these shapes is blue?

Look closely at the shaded parts:Although divided into different parts, the same area is shaded.

If we multiply the numerator and the denominator by the same number

we get

Equivalant Fractions

Equivalant Fractions

Are these equivalent fractions ?

x ? ?

Find equivalent fractions to 31

1 Whole

31

61

121

151

91

31

= 231

= 9 31

=4

31

=156 12

3 5

When fractions have a common denominator it is easier to :

compare themWhich is the biggest fraction?

2017

43 x5

x5=2015

43

or

When fractions have a common denominator it is easier to :

add them

x5

x5

=205

41

+ 53

We need to find equivalent fractions with a common denominator. The Least Common Multiple of 4 and 5 is 20.

53 x4

x4

=2012

41

=205 +

2012

2017

When fractions have a common denominator it is easier to :

subtract them

x2

x2

=106

21

-53

53

x5

x5

=105

21

=106 -

105

101

We need to find equivalent fractions with a common denominator. The Least Common Multiple of 5 and 2 is 10.

Look closely at the shaded parts:Although divided into different parts, the same area is shaded.

If we divide the numerator and the denominator by the same number

we also get

Equivalant Fractions

4

4 =is a fraction

in its

lowest terms

Let us reduce to its lowest terms:86

Factors of 8

Factors of 6

=43

43

is a fraction in its lowest terms

When the numerator is less than the denominator

21

43

32

examples

83

The fraction is called an Proper Fraction

It is always less than the whole.

When the numerator is greater than the denominator

example

The fraction is called an Improper Fraction

It is always more than the whole.

Improper Fractions can be changed into Mixed Numbers

252

r 1

= 221

25

Let`s play some

What fraction of the people have…..

21

purple trousers ?Red jumpers ?blue trousers ?blonde hair ?black hair ? 43

83

4181

What fraction of the Fripples is ….

spotted

21

What fraction of the Fripples is ….

striped

61

What fraction of the Fripples wear

sunglasses

41

What fraction of the Fripples is

purple

31

What fraction of the Fripples have ..

Curly hair

92

What fraction of the Fripples have ..

Short straight

hair

31

32

64

93

64

2016

102

54

54

524

544 5

45 544

323

311

39

311