1. Percentages without a calculator
What is a Percentage
Percentage as a Fraction
Simplify Answer
Percentage to a Decimal
Fraction to a Percentage
Percentages and Common Fractions
Match Percentages to Common Fractions
Use Common Fraction to solve a Perentage
Finding 5%

2. What is a Percentage 3 5 or Which is the bigger 5 9
Difficult to tell without “ doing some Maths”
To make comparing fractions ( part of ) easier a special fraction called a Percentage was introduced 7
Percentage is a fraction out of 100
7 per cent is written as 7% and equals
100

3. What is a percentage C 7 8 9 4 5 6 x 1 2 3 + . = - % means out of 10038 38
38% means
Out of
100
100
Ans √ C 7 8 9 ÷
Type in a number for the percentage then click the arrow 4 5 6 x 1 2 3 + 38 38 % is
100 . = - On
Setup 38

4. What is a percentage 2 C 7 8 9 4 5 6 x 1 2 3 + . = -
% means out of 100 32 32
32% means
Out of
100
100 2
Ans √ C 7 8 9 ÷ 4 5 6 x
÷ 2 ÷2 32 16 8 32 % is 1 2 3 + = =
100 50 25
÷ 2 ÷2 . = - On 32
Setup
Hide Fraction

5. Percentage to a decimal
To change a percentage to a decimal divide the number in front of the % by 100
28% =
28 ÷ 100 =
0.28 7% =
7 ÷ 100 =
0.07
91% =
91 ÷ 100 =
0.91
Changing a percentage to a decimal is like changing pence to pounds
The next slide allows you to practice. Type a whole number for the percentage on the calculator then click the arrow

6. Percentage to a Decimal
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9 1 0% 1% 2% 3% 4% 5% 6% 7% 8% 9%
10%
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
Enlarge 8% =
8 ÷ 100 =
0.08
Hide Scale
(-) √ C x ÷
8÷100 5 6 7 8 9 + - On
Setup
0.08 11 1 2 3 4 . =
Ans

7. Fraction to a Percentage
Step 1 : Change the Fraction to a decimal by dividing the top number by the bottom 5 =
5 ÷ 8 =
0.625 8
Step 2 : To change the decimal to a percentage multiply by 100 and add the % sign
0.625 x 100% =
62.5 %
(-) √ C x ÷
Ansx100
Start
Next 5 6 7 8 9 + - On
62.5 11 1 2 3 4 . =
Ans

8. Fraction to a Percentage
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9 1
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
0.8
0.81
0.82
0.83
0.84
0.85
0.86
0.87
0.88
0.89
0.9
80%
81%
82%
83%
84%
85%
86%
87%
88%
89%
90% 4 = =
% = % = 5
(-) √ C x ÷
Hide Scale
Next 5 6 7 8 9 + - On
Setup 11 1 2 3 4 . =
Ans

9. Percentages and Common Fractions20 % of
Percentage
20% 20
Fraction = 1% 5%
10%
20%
25%
33⅓%
50%
66⅔%
Ans √ C
1%m
5%m
mult
mult
mult
mult 7 8 9 ÷ 4 5 6 x 1 2 3 +
Click a Percentage then enter the equivalent Fraction . = - On
Setup

10. Match % to Fraction
20% 1%
10%
25%
33⅓%
50%
66⅔%
75%
test
Start

11. Percentages and Common Fractions
25% 1
Fraction =
25% 4
302÷4 1% 5%
10%
20%
25%
33⅓%
50%
66⅔%
75.5
1%m
5%m
mult
mult
mult
mult
Ans √ C 25 % of
187.2 8 9 1 7 ÷ = x
187.2 4 5 6 x 4 1 2 3 + = . = - = On
Setup
New Example

12. Calculating 5%
All
All 24 12 12 24 12 12 24 12 12 24 12 12 24 12 12 24 12 12 24 12 12 24 12 12 24 12 12 24 12 12 5% of
240 =
(a)
10% of 240=
(b) =
5% of 240=
(-) √ C x ÷ 5 6 7 8 9 + - On
Find 10% then half the answer
Next 11 1 2 3 4 . =
Ans

13. Finding 5% 1 The fraction for 5% is 20 1 1 5% of 630 = = 630 of 630 ÷x
=31.5 20 20
Dividing by 20 can be done in two steps
Step 1 Dividing by 10
Step 1 Find 10%
Which is the same as
630÷10=63
Step 2 Dividing by 2
Step 1 Half to find 5%
63÷2=31.5
Divide by Bottom
Multiply by Top
See Next slide