fractions decimals and percents sol 6.2 by kathy woodard
TRANSCRIPT
Fractions Decimals
and PercentsSOL 6.2
By Kathy Woodard
Any Number can be Writtenas a
Fraction Decimal or Percent
1
2
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!
1 100
2
4
5
50
25
20
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 3
100 10
Decimal
Percent
Fraction
24%
0.24
24 6
100 25
Decimal
Percent
Fraction
45%
0.45
45 9
100 20
Decimal
Percent
Fraction
32%
0.32
32 8
100 25
http://www.explorelearning.com/index.cfm?method=cUser.dspLoginJoin
Decimal
Percent
Fraction
50%
0.50 = 0.5
50 5 1
100 10 2
Decimal
Percent
Fraction
66%
0.66
66 33
100 50
Decimal
Percent
Fraction
80%
0.80 = 0.8
80 4
100 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?
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%
06 SOL --100 Grid
09 NS 6.2 Fractions, Decimals, Percents
http://illuminations.nctm.org/activitydetail.aspx?ID=11
Th
is rocks!
FRACTIONS, DECIMALS & PERCENTS
littlepieces
BY KATHY WOODARD
Fraction/100
Decimals
10
100
0.26
0.05
0.8
0.125
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
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
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
0.751
Rounds to
0.33
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
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
How do we change a Fraction to a
Decimal ?
1
2
0.5so 1 ÷ 20.5
2 1.0
0
1010
0
or…
Lets Practice:Fractio
nDecimal Percent
3
20
0.15
15%
4
5
0.8
80%
1
25
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.