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Fractions: Making sense

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Page 1: Fractions: Making sense
Page 2: 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.

Page 3: Fractions: Making sense

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.

Page 4: Fractions: Making sense

This pie is divided into 6 equal parts.

If we cut off 61

65

The

remaining

part is:

61

616

1

61

61

61

Page 5: Fractions: Making sense

This pie is divided into 8 equal parts.

If we cut off 81

87

The

remaining

part is:

Page 6: Fractions: Making sense

A Fraction is made up of 2 numbers

The top number is called the

numerator

The bottom number

is called the denominator83

Page 7: Fractions: Making sense

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

Page 8: Fractions: Making sense

What fraction of each shape is shaded?

A=

B =

C=85

107

65

83

D=

Page 9: Fractions: Making sense

of the circles are blue. 51

What fraction of the circles are blue?

Page 10: Fractions: Making sense

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?

Page 11: Fractions: Making sense

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

Page 12: Fractions: Making sense

Equivalant Fractions

Page 13: Fractions: Making sense

Are these equivalent fractions ?

x ? ?

Page 14: Fractions: Making sense

Find equivalent fractions to 31

1 Whole

31

61

121

151

91

31

= 231

= 9 31

=4

31

=156 12

3 5

Page 15: Fractions: Making sense

When fractions have a common denominator it is easier to :

compare themWhich is the biggest fraction?

2017

43 x5

x5=2015

43

or

Page 16: Fractions: Making sense

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

Page 17: Fractions: Making sense

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.

Page 18: Fractions: Making sense

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

Page 19: Fractions: Making sense

Let us reduce to its lowest terms:86

Factors of 8

Factors of 6

=43

43

is a fraction in its lowest terms

Page 20: Fractions: Making sense

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.

Page 21: Fractions: Making sense

When the numerator is greater than the denominator

example

The fraction is called an Improper Fraction

It is always more than the whole.

Page 22: Fractions: Making sense

Improper Fractions can be changed into Mixed Numbers

252

r 1

= 221

25

Page 23: Fractions: Making sense

Let`s play some

Page 24: Fractions: Making sense

What fraction of the people have…..

21

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

83

4181

Page 25: Fractions: Making sense

What fraction of the Fripples is ….

spotted

21

Page 26: Fractions: Making sense

What fraction of the Fripples is ….

striped

61

Page 27: Fractions: Making sense

What fraction of the Fripples wear

sunglasses

41

Page 28: Fractions: Making sense

What fraction of the Fripples is

purple

31

Page 29: Fractions: Making sense

What fraction of the Fripples have ..

Curly hair

92

Page 30: Fractions: Making sense

What fraction of the Fripples have ..

Short straight

hair

31

Page 31: Fractions: Making sense

32

64

93

64

Page 32: Fractions: Making sense

2016

102

54

54

Page 33: Fractions: Making sense

524

544 5

45 544

Page 34: Fractions: Making sense

323

311

39

311

Page 35: Fractions: Making sense