Fractions Decimals
and PercentsSOL 6.2
By Kathy Woodard
Any Number can be Writtenas a
Fraction Decimal or Percent
12
0.5
50%
Percent
Per 100
So, put it over 100,And simplify the fraction!
32%9%
90%=
=
=
How do we write a Percent as a
Fraction ?
32100 ÷
44=
825
90100 ÷
1010=
910
9100
It’s a lot easier to simplify these fractions if you know all the
factors of 100 by heart!
1 100245
502520
10
32%9%
90%= .32 = .9
= .09
How do we write a Percent as a Decimal
?
Percent
Percent to Decimal
25%
0.25
10%
0.10 or
0.1
5%0
0.05
Decimal
Percent
Fraction
30%
0.30 = 0.3
30 3100 10
Decimal
Percent
Fraction
24%
0.24
24 6100 25
Decimal
Percent
Fraction
45%
0.45
45 9100 20
Decimal
Percent
Fraction
32%
0.32
32 8100 25
http://www.explorelearning.com/index.cfm?method=cUser.dspLoginJoin
Decimal
Percent
Fraction
50%
0.50 = 0.5
50 5 1100 10 2
Decimal
Percent
Fraction
66%
0.66
66 33100 50
Decimal
Percent
Fraction
80%
0.80 = 0.8
80 4100 5
1/2
0% 25% 50% 75% 100%
0 1
25%
67%
88%
1/2 3/41/4
40%
75%
What percent
does each
progress bar
show?
Progress bar website: infragistics.com
Estimate Each Percent:
What Percent Full?
2550
50100
50%
4050
80100
80%
http://www.superteacherworksheets.com/measurement/graduated-cylinders-10s.pdf
1150
22100
22%
4950
98100
98%
06 SOL --100 Grid
09 NS 6.2 Fractions, Decimals, Percents
http://illuminations.nctm.org/activitydetail.aspx?ID=11
This rocks!
FRACTIONS, DECIMALS & PERCENTS
littlepieces
BY KATHY WOODARD
Fraction/100
Decimals
10100
0.26
0.05
0.8
0.125
How do we write a Decimal as a Fraction ?
0.26
0.05
0.8
26100
1350
5100
120
810
45
0.125 1251000
25200
540
18
0.6
0.03
0.45
610
35
3100
45100
920
0.375 3751000
75200
1540
38
What does Percent mean?
0.5
50%
Percent means Per Hundred
0
How do we write a Decimal as a Percent
?
0.05 = 5%
0.2 = 20%
Sometimes you have to round0.125 = 12.5% ~ 13%
0.75 = 75%
0
Percent
0.06
0.25
0.5
0.375
= 6%
= 25%
= 50%
= 37.5% ~ 38%
0.7
0.93
0.08
0.125
= 70%
= 93%
= 8%
= 12.5% ~ 13%
1 = 1.0 = 100%1/2 = 0.5 = 50%
1/4 0.25 = 25% 2/4 0.5 = 50% 3/4 0.75 = 75% 4/4 1.0 = 100%
2/2 = 1.0 = 100%
1/5 0.2 = 20% 2/5 0.4 = 40% 3/5 0.6 = 60% 4/5 0.8 = 80% 5/5 1 = 100%
PRACTICE DRAWING FRACTIONS½
1/3
¼
1/5
1/6
1/8
1/9
1/10
1/12
Also memorize the most important ones:
0 1/10 1/5 1/4 1/3 1/2 3/4 1
10%0%
20%25%
Rounds to
33%50% 75%
100%
00.1 0.2
0.250.5 0.75
1Rounds to
0.33
Back to fractions:Percent Decimal Fraction
X/100Simpified Fraction
0.05
0.1
0.25
25%
10%
5%
25100
14
10100
110
5100
120
How do we change a Fraction to a
Decimal ?
12Rewrite it as an
equivalent fraction with a
denominator of 10 or 100
5 55 10
0.5
325
4 124 100
0.12
120
5 55 100
0.05
How do we change a Fraction to a
Decimal ?
12
0.5so 1 ÷ 20.5
2 1.0
010100
or…
Lets Practice:Fractio
nDecimal Percent
320
0.15
15%
45
0.8
80%
125
0.04
4%0
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
FractionX/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&gameid=91
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
http://nlvm.usu.edu/en/nav/frames_asid_160_g_3_t_1.html?open=activities&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://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
http://calculationnation.nctm.org/Games/
NCTM Calculation Nation: Fraction FeudDuel against the computer to create larger or smaller proper fractions with a limited set of number tiles.