Mini-Posters LES 3

Mini-Posters
LES 3
Nature Center
Application Situation 1
Application Situation 2
Application Situation 3
Application Situation 4
P-1
P-15
P-16
P-22
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Table of Contents
APPLICATION SITUATION 1
APPLICATION SITUATION 2
What is a Fraction?
P-1
Reading and Writing Fractions
P-2
Illustrating a Figure as a Fraction
P-3
Illustrating a Fraction as a Figure
P-4
Illustrating a Set as a Fraction
P-5
Illustrating a Fraction as a Set
P-6
APPLICATION SITUATION 3
Fraction Greater than 1
P-7
What is a Percent?
Equivalency Chart
P-8
Equivalent Forms
Finding Equivalent Fractions
P-9
Conversion Methods
P-17
Simplifying Fractions
P-10
Example
P-18
Adding Fractions
P-11
Common Denominator
Subtracting Fractions
P-12
Multiplying a Whole Number
P-15
by a Fraction
P-16
How to Convert a Fraction
P-19
How to Convert a Decimal Number
P-20
How to Convert a Percent
P-21
Common Denominator
Adding Fractions
P-13
Different Denominators
Subtracting Fractions
Different Denominators
P-14
APPLICATION SITUATION 4
Calculating Percentage
Images References
5 © yxm2008/Shutterstock.com  risteski goce/Shutterstock.com
6 © Neyro/Shutterstock.com
P-22
What is a Fraction?
 A fraction is part of a whole.
Example
Denominator
Numerator
3
4
 The numerator tells us how many
equal parts we have.
 The denominator tells us how many
equal parts there are in total.
P-1
Reading and Writing
Fractions




P-2
Illustrating a Figure
as a Fraction
 When a figure is divided in (b) equal parts
a
and (a) parts are coloured, the fraction
shows the coloured part of the figure.
b
Example
The fraction 7 shows
12
the coloured part of this figure.
P-3
Illustrating a Fraction
as a Figure
 To illustrate a fraction a as a figure,
b
divide the figure into (b) equal parts
and colour (a) parts.
Example
The coloured part of this figure
shows the fraction 10 .
16
P-4
Illustrating a Set
as a Fraction
 A set has (b) elements.
a
 If (a) elements are chosen, the fraction
b
shows the relationship between:
- (a) the number of elements chosen, and
- (b) the total number of elements in the set.
Example
There are 10 vehicles in the set.
4 of the vehicles are snowmobiles.
10
6 of the vehicles are ATVs.
10
P-5
Illustrating a Fraction
as a Set
Example
There are 12 marbles in the set.
1
of the marbles are yellow  12 ÷ 4 = 3
4
1
of the marbles are green
 12 ÷ 6 = 2
6
1 of the marbles are red
 12 ÷ 3 = 4
3
The rest of the marbles are purple 
12 – 3 – 4 – 2 = 3
P-6
Fraction Greater than 1
 Improper fraction
Example
83
4
 Mixed number
Example
4
5
6
P-7
Equivalency Chart
P-8
Finding Equivalent
Fractions
Examples
1
3
2
4
×
2
2
2
6
=
×
3
3
6
=
12
P-9
Simplifying Fractions
 To simplify a fraction, divide the
numerator and the denominator by
their greatest common factor (GCF).
Examples
16
4
4
÷
=
20
4
5
20
20
1
÷
=
40
20
2
15
15
1
÷
=
45
15
3
P-10
Adding Fractions
Common Denominator
Adding
Fractions
(Same Example
Denominator)
3
8
1
=
8
+
4
8
3
1
4
+
=
8
8
8
P-11
A-3
Subtracting Fractions
Common Denominator
Subtracting
Fractions
(SameExample
Denominator)
4
8
1
=
8
–
3
8
4
1
3
–
=
8
8
8
P-12
A-5
Adding Fractions
Different Denominators
Example
P-13
Subtracting Fractions
Different Denominators
Subtracting
Fractions
(DifferentExample
Denominators)
2
3
6
9
–
1
=
9
–
1
=
9
5
9
6
1
5
–
=
9
9
9
P-14
A-6
Multiplying a Whole Number
by a Fraction
Example
9
×
36
5
5 × 9
=
36
45
=
36
=
=
1
9
36
1
1
4
P-15
What is a Percent?
 A percent is a way of showing a fraction
that has a denominator of 100.
Example
5% of the squares are yellow.
10% of the square are blue.
20% of the squares are orange.
25% of the squares are green.
40% of the squares are pink.
P-16
Equivalent Forms
(Fraction, Decimal Number, Percent)
Conversion Methods
P-17
Equivalent Forms
(Fraction, Decimal Number, Percent)
Example
P-18
How to Convert a Fraction
FRACTION into a
PERCENT
 Convert the fraction into a decimal
number and then multiply by 100.
Example
1
= 0.5 × 100 = 50%
2
FRACTION into a
DECIMAL NUMBER
 Divide the numerator by the
denominator.
Example
50
= 50  100 = 0.5
100
P-19
How to Convert
a Decimal Number
DECIMAL NUMBER into a
PERCENT
 Multiply the decimal number by 100.
Example
0.5 = 0.5 × 100 = 50%
DECIMAL NUMBER into a
FRACTION
 Multiply the decimal number by 100 .
 Simplify the fraction if possible.
100
Example
1
50  50
0.5 × 100 50
0.5 =
=
=
=
100 100  50 2
100
P-20
How to Convert a Percent
PERCENT into a
FRACTION
 Drop the percent sign and place
the number over 100.
 Simplify the fraction if possible.
Example
50%
1
50  50
50
=
=
=
100 100  50
2
PERCENT into a
DECIMAL NUMBER
 Divide the percent by 100.
Example
50% = 50  100 = 0.5
P-21
Calculating Percentage
 A percentage is a number that is
a percent of another number.
Example
Original number
Percent
25% of 356 =
25% × 356 =
25 × 356 =
100
25
× 356
= 89
100
Percentage
P-22