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Fractions Decimals
and PercentsSOL 6.2
By Kathy Woodard
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Any Number can be Writtenas a
Fraction Decimal or Percent
1
2
0.5
50%
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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
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It’s a lot easier to simplify these fractions if you know all the
factors of 100 by heart!
1 100
2
4
5
50
25
20
10
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32%
9%90%= .32 = .9
= .09
How do we write a Percent as a Decimal
?
Percent
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Percent to Decimal
25%
0.25
10%
0.10 or
0.1
5%0
0.05
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Decimal
Percent
Fraction
30%
0.30 = 0.3
30 3
100 10
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Decimal
Percent
Fraction
24%
0.24
24 6
100 25
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Decimal
Percent
Fraction
45%
0.45
45 9
100 20
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Decimal
Percent
Fraction
32%
0.32
32 8
100 25
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http://www.explorelearning.com/index.cfm?method=cUser.dspLoginJoin
![Page 13: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/13.jpg)
Decimal
Percent
Fraction
50%
0.50 = 0.5
50 5 1
100 10 2
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Decimal
Percent
Fraction
66%
0.66
66 33
100 50
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Decimal
Percent
Fraction
80%
0.80 = 0.8
80 4
100 5
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1/2
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0% 25% 50% 75% 100%
0 1
25%
67%
88%
1/2 3/41/4
40%
75%
What percent
does each
progress bar
show?
![Page 18: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/18.jpg)
Progress bar website: infragistics.com
Estimate Each Percent:
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What Percent Full?
25
50
50
100
50%
40
50
80
100
80%
http://www.superteacherworksheets.com/measurement/graduated-cylinders-10s.pdf
11
50
22
100
22%
49
50
98
100
98%
![Page 20: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/20.jpg)
06 SOL --100 Grid
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09 NS 6.2 Fractions, Decimals, Percents
![Page 22: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/22.jpg)
http://illuminations.nctm.org/activitydetail.aspx?ID=11
Th
is rocks!
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FRACTIONS, DECIMALS & PERCENTS
littlepieces
BY KATHY WOODARD
![Page 28: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/28.jpg)
Fraction/100
![Page 29: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/29.jpg)
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Decimals
![Page 31: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/31.jpg)
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10
100
![Page 33: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/33.jpg)
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0.26
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0.05
![Page 37: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/37.jpg)
0.8
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0.125
![Page 39: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/39.jpg)
How do we write a Decimal as a Fraction ?
0.26
0.05
0.8
26
100
13
50
5
100
1
20
8
10
4
5
0.125 125
1000
25
200
5
40
1
8
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0.6
0.03
0.45
6
10
3
5
3
100
45
100
9
20
0.375 375
1000
75
200
15
40
3
8
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What does Percent mean?
0.5
50%
Percent means Per Hundred
0
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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
![Page 43: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/43.jpg)
0.06
0.25
0.5
0.375
= 6%
= 25%
= 50%
= 37.5% ~ 38%
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0.7
0.93
0.08
0.125
= 70%
= 93%
= 8%
= 12.5% ~ 13%
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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%
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PRACTICE DRAWING FRACTIONS½
1/3
¼
1/5
1/6
1/8
1/9
1/10
1/12
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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
0.751
Rounds to
0.33
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Back to fractions:Percent Decimal Fraction
X/100Simpified Fraction
0.05
0.1
0.25
25%
10%
5%
25
100
1
4
10
100
1
10
5
100
1
20
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How do we change a Fraction to a
Decimal ?
1
2Rewrite it as an equivalent fraction
with a denominator of
10 or 100
5 5
5 10
0.5
3
254 12
4 100
0.12
1
205 5
5 100
0.05
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How do we change a Fraction to a
Decimal ?
1
2
0.5so 1 ÷ 20.5
2 1.0
0
1010
0
or…
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Lets Practice:Fractio
nDecimal Percent
3
20
0.15
15%
4
5
0.8
80%
1
25
0.04
4%0
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08 SOL -- frac. to %
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07 SOL -- frac. to %
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07 SOL -- dec. to frac.
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What part of this 10-by-10 grid is blue?
-Percent:
• Decimal:
• Fraction:
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09 NS 6.2 Fractions, Decimals, Percents
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10 NS 6.2 Fractions, Decimals, Percents
![Page 59: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/59.jpg)
Fraction Simplified
FractionX/100
Decimal Percent
1/5
24/100
0.3
6%
0.35
1/3
25%
![Page 60: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/60.jpg)
http://www.mathplayground.com/Decention/Decention.html
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XP Math
http://www.xpmath.com/forums/arcade.php?do=play&gameid=91
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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
![Page 63: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/63.jpg)
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.
![Page 64: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/64.jpg)
http://www.mathvillage.info/node/50
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Math Village
Create a proper or improper fraction then find it on the number line.
http://www.mathvillage.info/node/175
![Page 66: Fractions Decimals and Percents SOL 6.2 By Kathy Woodard](https://reader035.vdocument.in/reader035/viewer/2022081503/56649d9d5503460f94a86ada/html5/thumbnails/66.jpg)
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.