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FRACTIONS

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.3131 FRACTIONS DECIMALS PERCENTS: SEA - ing THE CONNECTIONS 13/20 90% 25%.45 1/2 Fishing for math links While you re surfing the web, dive into these ... – PowerPoint PPT presentation

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Title: FRACTIONS


1
.3131
FRACTIONS DECIMALS PERCENTS SEA- ing THE
CONNECTIONS
13/20
90
25
.45
1/2
2
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Sea-ing the Connection Fractions to Decimals
Fractions to Percents Decimals to Fractions
Decimals to Percents Percents to Decimals
Percents to Fractions Fishing for Games
Fishing for links Fishing for Credits
NoteThis presentation is best viewed in the font
intended, Gilligans Island. Please click here
to download a version for better viewing. Thanks!
3
  • Sea-ing the Connection
  • Fish Food is Brain Food or tips to remember
  • You can use the fact that percent means out of
    100 to rewrite a percent as a fraction
  • To write a decimal as a percent, move the decimal
    point two places to the right
  • To write a percent as a decimal, move the decimal
    point two places to the left
  • Vocabulary
  • Fraction a number in the form a/b Ex 2/3
  • Percent a ratio comparing a number to 100
  • Ex 29 29/100
  • Terminating decimal a decimal number that ends
    Ex 2.33
  • Repeating decimal - a decimal that repeats a
    pattern of digits ex - .121212

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4
Changing a Fraction to a Decimal
There are two methods to write a fraction as a
decimal. Method 1 Find an equivalent fraction
with a denominator of ten, 100, or any other
power of ten. Ex 3 (x 4) 12 .12 25 (x
4) 100 Method 2 Because a fraction indicates
division,the numerator of the fraction can be
divided by the denominator. (Sea-ing the
connection Two-thirds of a pizza means a whole
pizza divided into three equal parts.)
0. 12 Ex 3 25 3. 00
or 3 20 .012 20
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5
Now, Its your turn to turn fractions into
decimals. Complete the conversions below on your
notebook paper with either method. Check your
answers by clicking on the fish after youve
finished all eight problems.
1. 8/25 2. 34/125 3. 3/8 4. 2/3 5.
7/40 6. 7/8 7. 8/11 8. 15/25
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6
8/25 .32
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34/125 .272
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3/8 .375
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2/3 .6666..
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10
7/40 .175
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11
7/8 .875
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7/40 .175
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8/11 .7272
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15/25 .6
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15
Changing a Fraction to a Percent
To express a fraction as a percent, first change
the fraction to a decimal(helpful hint if youve
forgotten how) and then move the decimal two
places to the right and add the percent
sign. 4/5 4 5 .8 .8. 0 . 80 Now,
its your turn to change a fraction to a percent.
Click on the next button to continue
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16
  • Convert the following fractions to percents on
    your notebook paper. Check your answers by
    clicking on the fish after youve finished all
    five problems.
  • 8/25 2. 5/6
  • 3. 7/8 4. 1/20
  • 5. 9/1000

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8/25 32
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5/6 83 1/3
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7/8 87.5
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1/20 5
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9/1000 0.9
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22
Changing Decimals to Fractions To express a
decimal as a fraction, first write the decimal
with a denominator in a power of 10 indicated by
the final digit of the decimal. Then simplify
the fraction. Ex 0.45 45 ( 5) 9
100 ( 5) 20 Ex - .8 8 4
10 5 Now, its your turn to change a
decimal to a fraction. Click on the next button
to continue
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23
  • Convert the following decimals to fractions on
    your notebook paper. Check your answers by
    clicking on the fish after youve finished all
    five problems.
  • 0.85 2. 0.55
  • 3. 0.625 4. 0.83
  • 5. 0.272

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24
.85 17/20
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25
.55 11/20
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0.625 5/8
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0.83 83/100
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0.272 34/125
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29
Changing Decimals to Percents To express a
decimal as a percent, remember that you can write
the decimal as a fraction with a denominator of
100. And you also remember that percent is
expressed as a number out of 100. So, the
fraction can be written as a percent. Ex - .75
means 75/100 which is the same as 75 Ex 0.125
means 125/1000, which reduced to a number over
100, is 12.5/100 which is 12.5 Wanna get hooked
on a quick method to changing a decimal to a
percent? Just remember to move the decimal two
places to the right and add your percent sign! Ex
- .8 .8. 0 . 80 Now, its your turn to
change a decimal to a percent. Click on the next
button to continue.
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30
  • Convert the following decimals to a percent on
    your notebook paper. Check your answers by
    clicking on the fish after youve finished all
    five problems.
  • 0.195 2. 0.07
  • 3. 0.0334 4. 0.55
  • 5. 0.01

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.195 19.5
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.07 7
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.0334 3.34
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34
.55 55
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35
.01 1
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36
Changing Percents to Decimals
To express a percent as a decimal, you can divide
the percent by 100 and remove the percent
sign. Ex 72 72 which is 72 100 which is
.72 100 Ex 37.5 37.5 which is
37.5 100 which is 0.375 100 Wanna
get hooked on a quick method to changing a
percent to a decimal? Just remember to move the
decimal two places to the left and remove your
percent sign! Ex 25 . 2 5 .25
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37
  • Convert the following Percents to decimals on
    your notebook paper. Check your answers by
    clicking on the fish after youve finished all
    five problems.
  • 6 2. 190
  • 3. 37 ¾ 4. 40
  • 5. 100

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6 .06
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190 1.9
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40
37 ¾ .3475
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40 .4
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100 1
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43
Changing Percents to Fractions
To express a percent as a fraction, write a
fraction with a denominator of 100. (Remember, a
percent is a number out of 100.) Then simplify
the fraction into lowest terms. Ex 65 65 (
5, which is the greatest common factor) 13
100 ( 5) 20
Heres a bit more challenging example
simplifying into lowest terms takes a few more
steps. Ex 16 ½ 16 ½ 16 ½ 100 33 100
33 x 1 33 100 2
2 100 200
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44
  • Convert the following Percents to fractions on
    your notebook paper. Check your answers by
    clicking on the fish after youve finished all
    five problems.
  • 80 2. 32
  • 3. 75 4. 12 ½
  • 5. 15

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80 4/5
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32 8/25
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75 3/4
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12 ½ 1/8
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15 3/20
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50
Fishing for a game Click on the Fish Bowl and Go
Fish!(A matching game of Equivalent Fractions,
Decimals, and Percents)
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51
Fishing for math links
  • While youre surfing the web, dive into these
    swimming holes to learn more about fractions,
    decimals, and percents or any other math topic.
  • Meter Math resources
  • Ask Dr. Math
  • Saloon Snap - A BBC Education Game of conversion
    (lots of fun)
  • Marin College, ca mathematics Department
    Converting repeating decimals to fractions
  • Math.com
  • Decimal matching Harcourt school publishers
    site

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52
Fishing for credits This presentation was
developed as part of a course requirement for the
Masters of Instructional Technology program _at_
Virginia Tech. Thanks for visiting.
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