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.