Fractions
Decimals
and Percents
SOL 6.2
By Kathy Woodard
Any Number can be
Written
as a
Fraction Decimal or Percent
1
2
 0.5  50%
How do we write
a Percent as a Fraction ?
Percent
So, put it over 100,
And simplify the fraction!
Per
100
90 10
9
=
÷
=
100 10 10
32 4
8
÷ =
=
100 4 25
=
9
100
It’s a lot easier to simplify these fractions if you
know all the factors of 100 by heart!
1
2
10
100
50
4
25
5
20
How do we write
a Percent as a Decimal ?
Percent
= .32
= .9
= .09

Percent to Decimal
25%
10%
0 5%

0.25
0.10 or 0.1
0.05
30%
0.30 = 0.3
30
3

100 10
24%
0.24
24
6

100 25
45%
0.45
45
9

100 20
32%
0.32
32
8

100 25
http://www.explorelearning.co
m/index.cfm?method=cUser.d
spLoginJoin
50%
0.50 = 0.5
50
5 1
 
100 10 2
66%
0.66
66 33

100 50
80%
0.80 = 0.8
80 4

100 5
25%
67%
88%
40%
75%
Progress bar website: infragistics.com
25
50
40
50
11
50
49
50
50

100
80

100
22

100
98

100
50%
80%
22%
98%
http://www.superteacherworksheets.com/measurement/graduated-cylinders-10s.pdf
06 SOL --100 Grid
09 NS 6.2 Fractions, Decimals, Percents
http://illuminations.nctm.org/activitydetail.aspx?ID=11
Fraction/100
Decimals
10

100
How do we write a Decimal as a Fraction ?
26

100
125

1000
13

50
5

100
1

20
8

10
4

5
25

200
5

40
1

8
6

10
3

5
3

100
45

100
375

1000
9

20
75

200
15

40
3

8
What does Percent mean?
 0.5 0
 50%
Percent means Per Hundred

How do we write
a Decimal as a Percent ?
0.75 = 75%
0.05 = 5%
Percent
0.2 0 = 20%
Sometimes you have to round
0.125 = 12.5% ~ 13%
½
1/3
¼
1/5
1/6
1/8
1/9
1/10
1/12
Also memorize the most important ones:
Rounds
to
0
0.33
0.25
0.1
0%
0.2
10% 20% 25%
0
1/10
1/5
1/4
Rounds
to
33%
1/3
0.5
50%
1/2
1
0.75
75%
3/4
100%
1
Back to fractions:
Percent
Decimal
25%
0.25
10%
0.1

0.05

5%

Fraction
X/100
Simpified
Fraction
1
4
25
100
10
100
1
10
5
100


1
20
How do we change
a Fraction to a Decimal ?
1 5 5
 0.5

2 5 10

3 4 12
 0.12

254 100

1 5 5  0.05

205 100
How do we change
a Fraction to a Decimal ?
1
2
so 1 ÷ 2
0.5
2 1.0
0
10
10
0
 0.5
Lets Practice:
Fraction
3
20
4
5


1
25
Decimal
Percent
0.15
0.80
0.04
15%
80%
4%
08 SOL -- frac. to %
07 SOL -- frac. to %
07 SOL -- dec. to frac.
What part of this
10-by-10 grid is blue?
-Percent:
•Decimal:
•Fraction:
09 NS 6.2 Fractions, Decimals, Percents
10 NS 6.2 Fractions, Decimals, Percents
Fraction
Simplified
Fraction
X/100
Decimal
Percent
1/5
24/100
0.3
6%
0.35
1/3

25%
http://www.mathplayground.com/Decention/Decention.html
XP Math
http://www.xpmath.com/forums/arcade.php?do=play&gam
eid=91
National Library of Virtual Manipulatives
http://nlvm.usu.edu/en/nav/frames_asid_333_g_3_t_1.html?from
=category_g_3_t_1.html
National Library of Virtual Manipulatives
Make a fraction and the applet will model it for you visually and
show you its equivalent percent.
http://nlvm.usu.edu/en/nav/frames_asid_160_g_3_t_1.html?open
=activities&from=category_g_3_t_1.html
http://www.mathvillage.info/node/50
Math Village
Create a proper or improper fraction then find it on the number
line.
http://www.mathvillage.info/node/175
NCTM Calculation Nation: Fraction Feud
Duel against the computer to create larger or smaller proper
fractions with a limited set of number tiles.
http://calculationnation.nctm.org/Games/