1. Percentage Conversions
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3. To convert a decimal into a percentage, we multiply the decimal by 100
To convert a percentage into a decimal, we divide the percentage by 100
x 100
÷ 100
0.3
30%
23%
0.23
x 100
0.75
75%
÷ 100 1%
0.01
x 100
0.34
34%
÷ 100
250%
2.5
x 100
0.05 5%
÷ 100
17.5%
0.175
x 100
÷ 100
1.5
150%
46.5%
0.465
x 100
÷ 100
0.325
32.5%
0.5%
0.005
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4. Decimals c
Percentages
[Quick Test]
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5. Percentages & Decimals
30% =
0.3
33%
= 0.33
13.2% =
0.132
60%
= 0.6
= 0.123
87% =
0.87
12.3%
90% =
0.9
= 0.11
76.5% =
0.765
11%
10%
= 0.1
32% =
0.32
62.9%
= 0.629
55% =
0.55 6%
= 0.06
150% =
1.5
35%
= 0.35
= 5
1% =
0.01
500%
85% =
0.85 8%
= 0.08
2.5% =
0.025
25%
= 0.25
17.5% =
0.175
6.5%
= 0.065
5% =
0.05
22.5%
= 0.225
0.5% =
0.005
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6. Percentages & Decimals
20% =
0.2
73%
= 0.73
63.2% =
0.632
50%
= 0.5
= 0.193
47% =
0.47
19.3%
80% =
0.8
0.465
21%
= 0.21
46.5% =
40%
= 0.4
38% =
0.38
92.9%
= 0.929
65% =
0.65 4%
= 0.04
250% =
2.5
95%
= 0.95
= 3
1% =
0.01
300%
15% =
0.15 9%
= 0.09
7.5% =
0.075
75%
= 0.75
87.5% =
0.875
6.1%
= 0.061
5% =
0.05
27.5%
= 0.275
0.5% =
0.005
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8. To change a percentage into a fraction we write a fraction with numerator the same as the percentage, and with denominator equal to 100.
We then cancel it down.
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9. To change some fractions into a percentage, we try to find an equivalent fraction out of 100.
The numerator of a fraction out of 100 is the percentage.
x 2
x 5
x 20 11 50 22
100 7 20 35
100 2 5 40
100 =
= 22% =
= 35% =
= 40%
x 2
x 5
x 20
x 10
x 4
x 25 3 10 30
100 6 25 24
100 5 4
125
100 =
= 30% =
= 24% =
= 125%
x 10
x 4
x 25
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10. Changing Fractions
into
Percentages
[Quick Test]
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11. Change these fractions into percentages
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12. Pecentage Conversions
To convert a decimal into a percentage, we multiply the decimal by 100
To convert a percentage into a decimal, we divide the percentage by 100
To change a percentage into a fraction we write a fraction with numerator the same as the percentage, and with denominator equal to 100.
We then cancel it down.
To change some fractions into a percentage, we try to find an equivalent fraction out of 100.
The numerator of a fraction out of 100 is the percentage. x5 x5
To change any fraction into a percentage, we change the fraction into a decimal (by division if necessary) and change the decimal into a percentage.
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14. What percentage of the bar is shaded?1 10 =
10% 1 4 =
25% 1 8 =
12.5% 1 5 =
20% 1 20 = 5% 1 3 =
33⅓%
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15. What percentage of the bar is shaded?3 10 =
30% 1 2 =
50% 3 8 =
37.5% 4 5 =
80% 3 20 =
15% 1 3 =
33⅓%
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16. What percentage of the bar is shaded?7 10 =
70% 3 4 =
75% 1 8 =
12.5% 3 5 =
60% 7 20 =
35% 2 3 =
66⅔%
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17. What percentage of the bar is shaded?9 10 =
90% 2 5 =
40% 5 8 =
62.5% 9 20 =
45% 1 3 =
33⅓%
hard 1 6 =
16 % 2 3
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18. What percentage of the bar is shaded?6 10 =
60% 4 5 =
80% 3 8 =
37.5% 11 20 =
55% 2 3 =
66⅔% 2 6 =
33 % 1 3
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19. What percentage of the bar is shaded?8 10 =
60% 3 5 =
60% 7 8 =
87.5% 13 20 =
65% 1 3 =
33⅓%
hard 1 6 =
16 % 2 3
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20. What percentage of the bar is shaded?5 10 =
50% 2 5 =
40% 1 8 =
12.5% 17 20 =
85% 2 3 =
66⅔%
very hard 5 6 =
83 % 1 3
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21. What percentage of the bar is shaded?8 10 =
80% 1 5 =
20% 3 8 =
37.5% 19 20 =
95% 1 3 =
33⅓%
hard 1 6 =
16 % 2 3
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23. What percentage of the bar is shaded?1 10 =
10% 1 4 =
25% 1 8 =
12.5% 1 5 =
20% 1 20 = 5% 1 3 =
33⅓%
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24. What percentage of the bar is shaded?3 10 =
30% 1 2 =
50% 3 8 =
37.5% 4 5 =
80% 3 20 =
15% 1 3 =
33⅓%
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25. What percentage of the bar is shaded?7 10 =
70% 3 4 =
75% 1 8 =
12.5% 3 5 =
60% 7 20 =
35% 2 3 =
66⅔%
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26. What percentage of the bar is shaded?9 10 =
90% 2 5 =
40% 5 8 =
62.5% 9 20 =
45% 1 3 =
33⅓%
hard 1 6 =
16 % 2 3
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27. What percentage of the bar is shaded?6 10 =
60% 4 5 =
80% 3 8 =
37.5% 11 20 =
55% 2 3 =
66⅔% 2 6 =
33 % 1 3
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28. What percentage of the bar is shaded?8 10 =
60% 3 5 =
60% 7 8 =
87.5% 13 20 =
65% 1 3 =
33⅓%
hard 1 6 =
16 % 2 3
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29. What percentage of the bar is shaded?5 10 =
50% 2 5 =
40% 1 8 =
12.5% 17 20 =
85% 2 3 =
66⅔%
very hard 5 6 =
83 % 1 3
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30. What percentage of the bar is shaded?8 10 =
80% 1 5 =
20% 3 8 =
37.5% 19 20 =
95% 1 3 =
33⅓%
hard 1 6 =
16 % 2 3
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31. © T Madas

32. 0.5
50% 1 2
0.4
40% 2 5
0.25
25% 1 4
0.9
90% 9 10
0.1
10% 1 10
0.35
35% 7 20
0.75
75% 3 4
0.12
12% 3 25
0.3
30% 3 10
0.44
44% 11 25
0.05 5% 1 20
0.01 1% 1
100
0.2
20% 1 5
0.06 6% 3 50
0.15
15% 3 20
0.125
12.5% 1 8
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33. 0.2
20% 1 5
0.6
40% 3 5
0.72
72% 18 25
0.7
70% 7 10
0.55
55% 11 20
0.45
45% 9 20
0.8
80% 4 5
0.18
18% 9 50
0.22
22% 11 50
0.32
32% 8 25
0.04 4% 1 25
0.03 3% 3
100
0.24
24% 6 25
0.14
14% 7 50
0.125
12.5% 1 8
0.375
37.5% 3 8
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34. 0.2
20% 1 5
0.8
80% 4 5
0.48
48% 12 25
0.91
91% 91
100
0.65
65% 13 20
0.85
85% 17 20
0.125
12.5% 1 8
0.38
38% 19 50
0.34
34% 17 50
0.28
28% 7 25
0.08 8% 2 25
0.07 7% 7
100
0.54
54% 27 50
0.42
42% 21 50
0.625
62.5% 5 8
0.875
87.5% 7 8
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35. Test
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36. 0.5
50% 1 2
0.4
40% 2 5
0.25
25% 1 4
0.9
90% 9 10
0.1
10% 1 10
0.35
35% 7 20
0.75
75% 3 4
0.12
12% 3 25
0.3
30% 3 10
0.44
44% 11 25
0.05 5% 1 20
0.01 1% 1
100
0.2
20% 1 5
0.06 6% 3 50
0.15
15% 3 20
0.125
12.5% 1 8
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37. 0.2
20% 1 5
0.6
40% 3 5
0.72
72% 18 25
0.7
70% 7 10
0.55
55% 11 20
0.45
45% 9 20
0.8
80% 4 5
0.18
18% 9 50
0.22
22% 11 50
0.32
32% 8 25
0.04 4% 1 25
0.03 3% 3
100
0.24
24% 6 25
0.14
14% 7 50
0.125
12.5% 1 8
0.375
37.5% 3 8
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38. 0.2
20% 1 5
0.8
80% 4 5
0.48
48% 12 25
0.91
91% 91
100
0.65
65% 13 20
0.85
85% 17 20
0.125
12.5% 1 8
0.38
38% 19 50
0.34
34% 17 50
0.28
28% 7 25
0.08 8% 2 25
0.07 7% 7
100
0.54
54% 27 50
0.42
42% 21 50
0.625
62.5% 5 8
0.875
87.5% 7 8
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39. © T Madas

40. = = = = French German Italian
The table below shows which foreign language did pupils prefer
to learn.
Which language did 10% of the girls prefer?
Which language did 45% of the boys prefer?
Which language was equally preferred by boys and girls?
French
German
Italian
Language
Boys
Girls
x 10 1 10 10
100 =
= 10%
French 3
15%
45%
20% 1
10%
30%
20%
40%
x 10
German 9 3
x 5 3 20 15
100
Italian 4 2 =
= 15%
x 5
Spanish 4 4
TOTAL 20 10
x 5 9 20 45
100 =
= 45%
x 5
x 5 4 20 20
100 =
= 20%
x 5
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42. Riaz got the following marks in his end of year exams: English:
Science:
Maths:
History:
Change these marks into percentages 37 50 17 25 17 20 21 30
x 2 37 50 74
100
x 5 17 20 85
100
English:
Maths: =
= 74% =
= 85%
x 2
x 5
x 4 17 25 68
100
÷ 3 21 30 7 10
x 10 70
100
Science: =
Science:
= 68% = =
= 70%
x 4
÷ 3
x 10
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