Fractions: Making sense
Transcript of 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