This document discusses fractions, decimals, percentages, and their conversions. It provides examples of changing fractions to decimals and percentages, including mixed numbers and improper fractions. It then discusses applications of percentages, including problems involving finding percentages of numbers and original values given a percentage discount or increase. The document aims to teach learners how to work with fractions, decimals, and percentages through examples and exercises involving their conversions and applications.

1. FRACTIONS, DECIMALS, AND
PERCENTAGES
Dr. Farhana Shaheen
3/3/2017
1

2. OBJECTIVES
 Change each fraction to a decimal fraction, and
then to a percent.
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3. CHANGING DECIMALS TO FRACTIONS
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4. QUES: WRITE THE FRACTION OR MIXED
FRACTION AS A DECIMAL.
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5. SOLUTION:
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6. CHANGE EACH FRACTION TO A DECIMAL
FRACTION, AND THEN TO A PERCENT
 Rules:
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9. EXAMPLE # 1
 Change each fraction to a decimal fraction, and
then to a percent.

 Solution:
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5
2
26.0)d
12
3
1)c
25
45
)b
20
13
)a

10.  Solution:
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%%4.26100x264.0:Percent
264.0
5
2
26.0:fractionDecimal)d
%125100x25.1:Percent
25.1
12
3
1:fractionDecimal)c
%180100x8.1:Percent
8.1
25
45
:fractionDecimal)b
%65100x65.0:Percent
65.0
20
13
:fractionDecimal)a









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12. EXAMPLE # 2
 Change each to a common or mixed fraction, and
then to a decimal fraction.

 Solution:
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%
5
2
26.0)d%
12
3
108)c%
25
45
)b%
20
13
)a

13. SOLUTION:
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00264.0100264.0fractionDecimal
12500
33
100000
264
100264.0100
5
2
26.0:fractionCommon)d
0825.1
1200
1299
:fractionDecimal
400
33
1
1200
1299
100
12
3
108:fractionMixed)c
180.0
500
9
:fractionDecimal
500
9
2500
45
100
25
45
:fractionCommon)b
0065.0
2000
13
:fractionDecimal
2000
13
100
20
13
:fractionCommon)a









14. EXERCISE:
 Q.1. Change each to a percent.
a) 0.07 b) 0.245 c) 5
d) e) f) 2
g) 1.02
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32
13
9
16
5
3
4
3

15.  Q.2. Change each to a decimal fraction.
 a) 17% b) 5.6% c) 0.058%
 d) e) f)
 g) 0.08 %
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%
52
13
%
2
1
12 %
5
17
4
3

16.  Q.3. Change each to a common fraction or a mixed
fraction.
 a) 48% b) 327.5% c) 0.055%
 d) e) f)
 g) 155 %
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%
51
17
%
4
1
6
5
3
%
5
27

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18. APPLICATIONS OF PERCENTS
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19. APPLICATIONS OF PERCENTS
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21. SOLUTIONS:
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22. SKILLSWISE
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23. SOLUTIONS:
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24. PERCENTAGE RULE:
 IF A% of B is C
then:
 Example: 30% of 70

 AB = 100C
 Note: “Per cent”(%) means “out of 100” i.e. A/100
“Of” means “Multiply”
“is” put =
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CB
A

100 2170
100
30


25. EXAMPLE # 3

 Using RULE: IF A% of B is C
 then: AB = 100C
 Note: “Per cent”(%) means “out of 100”
“Of” means “Multiply”
 Solution:
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?25040)
?35%20)
?500%40)
ofpercentwhatisc
isnumberwhatofb
ofisnumberWhata

26. SOLUTION:
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%16
250
40100
A40100A250)c
175
20
35100
B35100B20)b
200
100
50040
CC10050040)a









?250ofpercentwhatis40)c
?35isnummberwhatof%20)b
?500of%40isnumberWhat)a

27. EXAMPLE # 4
 (a) A football team won 16 of the 25 games it
played. What percent of its games it has won?
 Solution:
 RULE: IF A% of B is C then: AB = 100C

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28. EXAMPLE # 4
 (b) 76% of Math students passed. If there were
350 students, how many of them did pass?
 Solution:
 RULE: IF A% of B is C then: AB = 100C
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29. EXAMPLE # 4
 (c) A laptop is sold for SR2550 at 15% discount.
What is the original price of the laptop?
 Solution:
 RULE: IF A% of B is C then: AB = 100C
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30.  Solution:
 RULE: IF A% of B is C then: AB = 100C
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.3000SR
85
2550100
B:priceOriginal
2550100B85.,e.i2550isBof%85discount%15)c
passedstudents266
100
35076
CC10035076)b
%64
25
16100
A16100A25)a











31. QUESTION FOR YOU-
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32. QUESTION FOR YOU-
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33. EXERCISE:
 1. What percent of 60 is 340?
2. 27 % of what number is 111?
3. How much is 150% of 6?
4. SR 127.50 is 0.85% of what salary?
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4
3

34. 5. What percent of a meter is 3 km?
6. % of a foot equals how many inches?
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3
1
33

35.  7. The sales tax was 12%. What was the total
purchase on which SR 420 were paid as sales tax?
 8. The sales tax on a sale of SR 42625 is
SR5115. What is the percent tax rate?
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36.  9. Ali has 20 assignment questions. He has
solved 60% of them. How many questions are left?
 10. The salary of a technician increased from SR
7650 to SR 8262. What was the percent increase?
 11. The gold price increased by 6%. If a gold-ring
now costs SR 265, how much did it cost last year? -
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