1. ©G Dear 2010 – Not to be sold/Free to use
Mathematics
Basic Arithmetic
Conversions
Stage 6 - Year 11
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©G Dear 2010 – Not to be sold/Free to use

2. Conversions Decimals 1. Decimals to Fractions Example: Convert 0.75 75
100 25 3 4
(25 is the HCF of 75 and 100)
0.75 =
÷ =
2. Decimals to Percentages
Example: Convert 0.35
0.35 =
0.35 x 100%
= 35%

3. Conversions of Decimals Exercises
To Fractions
To Percentages
0.9
0.65
1.07
3.33
0.35
0.125
0.9 90% % % % % % 9 10
Answer
Answer 13 20
Answer
Answer 7
100
Answer
Answer 1 33
100
Answer
Answer 7 20
Answer
Answer 1 8
Answer
Answer

4. Conversions Percentages
3. Percentages to Fractions
Example: Convert 30% 30
100 10 3 10
(10 is the HCF
of 30 and 100)
30% =
÷ =
4. Percentages to Decimals
Example: Convert 65%
65% =
65 ÷ 100
= 0.65

5. Conversions of Percentages Exercises
To Fractions
To Decimals
45%
32%
147%
67%
55%
37.5%
17% 0.17
45% 0.45
177% 1.77
673% 6.73
31% 0.31
62.5% 0.625 9 20
Answer
Answer 8 25
Answer
Answer 47
100
Answer
Answer 1 67
100
Answer
Answer 11 20
Answer
Answer 3 8
Answer
Answer

6. Conversions Fractions3 8
5. Fractions to Decimals
Example: Convert 3 8
= 3 ÷ 8
= 0.375
Example: Convert 3 4
6. Fractions to Percentages 3 4 =
3 ÷ 4 x 100%
= 75%

7. Conversions of Fractions Exercises
To Decimals
To Percentages
0.8
0.85
1.28
0.47
0.45
0.875
60%
235%
312%
37%
15%
112.5% 4 5 3 5
Answer
Answer 17 20 27 20
Answer
Answer 7 25 3 25
Answer
Answer 1 3 47
100 37
100
Answer
Answer 9 20 3 20
Answer
Answer 7 8 9 8
Answer
Answer

8. Conversions Concentration
Red
Team
Blue
Team 1 2
50% 3 4
0.75
25% 5
0.2
40%
0.6
60% 6
0.16
0.3 8
0.125
37.5%
0.35
35%
0.24
24%
0.45
45%
0.625 9
0.1
0.5 7
0.7 10
30%
0.67
67% 20
0.05
15% 7 20 19 21 18 23 22 24 15 16 17 14 13 4 5 3 2 1 7 6 12 10 9 11 8 6 19 23 18 21 24 20 22 10 9 8 17 11 12 14 13 7 16 15 6 1 2 3 4 5 5 4 3 2 1 1 2 3 4 5 6 7