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```fraction
decimal
percent
A fraction -
examples:
1
4
3
4
5
2
It is the express division of two numbers
4 1
4 3
2 5
#
A decimal – is another way of writing a
fraction whose denominator is a power of 10
examples: .5
5
10
1.5
.75
75
100
1 5
10
#
percent - is a Latin word whose meaning is per
centum or per hundred. The symbol is %.
examples: 50%
=
75%
=
50
100
75
100
#
conversion
#
1.Change percent to fraction:
50%
=
75%
=
5%
50 =
100
75 =
100
5 =
=
100
1
2
3
4
1
20
Remove the percent sign. The denominator
is always be 100, then reduce to lowest terms.
#
Change fraction to percent:
1
2
=
1 x 50
2 x 50
=
50 =
100
50%
3
4
=
3 x 25
4 x 25
= 75 =
100
75%
1 =
20
1x5
20 x 5
=
5 =
100
5%
#
2.Change decimal to percent:
.57
=
.57 x 100
=
57 %
.75
=
.75 x 100
=
75 %
.82
=
.82 x 100
=
82 %
Multiply by 100, then affix the % sign to the
resulting product. Or
Move the decimal point two places to the right, the affix the % sign.
#
Change percent to decimal
45%
=
45.
=
.45
75%
=
75.
=
.75
3%
=
3.
=
.03
#
3. Change fraction to decimal:
1
2
1÷2
=
.5
3
4
3÷4
=
.75
5
8
5÷8
=
.625
#
Change decimal to fraction:
.5
5
10
.75
75
100
625
1000
.625
=
1
2
=
3
4
5
8
=
#
Types of
percent
problems
#
To get a percent a number,
remember that
OF means multiply (x)
IS means is equal to (=)
#
Example 1:
25% of 80 is what number?
.25
x 80
20
=
=
n
n
The number
#
Example 2:
What is 40 % of 120 ?
n
=
n
=
.40
x
120
48
The number
#
Example 3:
24 is 15 % of what number ?
24
=
24 ÷ .15
160
n
.15 x
=
n
The number
#
Example 4:
40% of what number is 28?
.40
x n
=
n
=
n
=
The number
28
28 ÷ .40
70
#
Example 5:
18 is what percent of 150?
18
=
18 ÷ 150
.12
P
x
P
=
=
=
P
12%
150
P
The percent
of 150
#
Example 6:
What percent of150 is 20?
p
x
p
=
p
=
20
20 ÷ 150
=
p
150
=
.13333
13.33%
#
Example problem:
General Santos Hospital has a 35
hours training course for volunteer
workers. Students on the course spend
21 hours on patient care. What percent
of the course is spent on patient care?
What percent of 35 is 21?
p
p
p
x
=
=
=
35
21
21 ÷ 35
.60 or 60%
#
THANK
YOU !!!
#
```