1. Learning Outcomes
Convert mixed numbers to percentage.
Convert decimal numbers of value more than 1 to
percentage.
Find the value for a given percentage of a quantity.
Solve problems in real context involving
relationships between percentage, fractions and
decimals.

2. Points to note
Relationship between fractions, percentage and decimals.
Fractions Fractions of hundredth Percentage Decimal Numbers
1 1x 50 50
2 2x 50
= 100 50 % 0.5
1 1x 25 25
4 4x 25
= 100 25 % 0.25
3 3x 25 75
4 4
x 25 = 100 75 % 0.75
1 1x 20 20
5 5
x 20 = 100 20 % 0.2
2 2x 20 40
5 5
x 20 = 100 40 % 0.4
3 3 10
x 30
10 10 10
x = 100 30% 0.3
9 9 5
x 45
20 x 5
20
= 100 45% 0.45
7 7 4
x 28
25 x 4
25
= 100 28% 0.28
13 13 2
x 26
50 x 2
50
= 100 26% 0.26
Perfect Couples of 100
2 4 5 10 10 20 25 50
2×50=100
4×25=100
5×20=100
10×10=100

3. Convert mixed numbers to percentage
Convert to
percentage must
multiply by
Example 1 :
Convert 1 to a percentage
Step 1 : Convert the mixed number to improper
fraction
1
1
Alternative method :
Use cancellation method
× 100 20
Step 2 : Multiply by 100%
8
× 100%
5
S
Step 3 :
800 ÷ 5
160 %
Convert decimals numbers to percentage

4. Convert to
percentage must
Example 1 : multiply by
Convert 3.25 to a percentage
Multiply by 100 :
Shift the decimal point to 2
decimal places to the right
Step 1 :
3.25 × 100
325 %
Convert to
percentage must
Example 2 :
multiply by
Convert 5.05 to a percentage
Multiply by 100% :
Shift the decimal point to 2
decimal places to the right
Step 1 :
5.05 × 100
505%
Find the value for a given percentage of quantity

5. Example 1 : 2
20 % =
of X
What is 20 % of RM 400
Step 1 : Convert the percentage to the fraction of
hundredth
20
of RM 400
100
Step 2 : of means multiply
20
× RM 400
100
Step 3 :
RM8 000
RM 8 000 ÷ 100
100
RM 80

6. Solve problems in real context in real context involving
relationship between percentage, fractions and decimals
Example 1 :
In a class which has 40 pupils, 30% of them are boys.
What is the number of boys in the class?
Step 1 :
1. Total = 40 pupils
2. 30 % are boys
3. Boys = 30% of 40 pupils
Understand the
problem and
underline the key
words
3
30% =
of means
multiply
Step 2 :
30
100
× 40 pupils
Step 3 :
Carry out 1200
the plan
100
pupils 1200 ÷100
= 12 pupils
Nizam has 150 marbles. 60% of the marbles are red and
the rest are yellow. Calculate the number of red marbles.

7. Example 2 :
Step 1 :
1. Total = 150 marbles
2. 60% are red marbles
3. Red = 60% of 150 marbles
Understand the
problem and
underline the key
words
60% =
Step 2 : Of means ×
×
Step 3 :
Carry out ?
the plan ? ÷ 100
100
= ? marbles

8. EXAMPLE HOW TO SOLVE
Step 1:
EXAMPLE 3
Understand the Cost price RM 2 500
problem and Discount 20 %
underline the
I
ItemOriginal PriceDiscountWashing MachineRM 2 50020 %
W
keywords.
F
Find the price of the washing machine after discount .
Carry out
Step 2: the plan
Price after 20 % discount
= 100 % - 20 %
= 80 %
Implementing the plan
by cancellation
method 80 × RM 2 500
100
= 80 × RM 25
= RM 2 000