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Fractions * Decimals * Percents

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Fractions * Decimals * Percents The student will learn how to convert various fractions, decimals and percentages Converting fraction to decimal To convert fraction ... – PowerPoint PPT presentation

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Title: Fractions * Decimals * Percents


1
Fractions Decimals Percents
  • The student will learn how to convert various
    fractions, decimals and percentages

2
Converting fraction to decimal
  • To convert fraction to decimal you divide the
    numerator by the denominator
  • 3 5 3
  • 5
  • .6
  • 5 3.0
  • 3 0

.6
3
Converting fraction to decimal
  • 1 .33
  • 3 3 1.0
  • 9
  • 10
    or
  • 9
  • 1


.33 1/3
.333
4
Converting decimals to fractions
  • Write a fraction, using the decimal number as the
    numerator and a power of 10 (10,100,1000 etc.)
    corresponding to the place value of the last
    digit of the decimal as the denominator
  • Example 1 .25 as a fraction
  • 25 is the numerator
  • In .25 the last digit is in the hundredths
    place,
  • therefore 100 is the denominator
  • 25 25 1
  • 100 25 4

1/4
5
Converting decimals to fractions
  • Example 2 4.375 set aside the 4 and
    convert the .375 into a
    fraction
  • 375 is the numerator. In the decimal .375,
    5 is the last digit is in the thousandths
    place, therefore 1000 is the denominator.
  • The greatest divisor common to both numerator
    denominator is 125.
    375 125 3
    The reduced fraction is 3/8
  • 1000 125 8
  • Annex the 4 for

4 3/8
6
Percents to fraction to decimal
  • means hundredths 100s
  • - sign for percent
  • Every may be written a decimal or fraction
  • Example 1 or .01 or 1/100

Percent Fraction Decimal
5 5/100 .05
7.5 7.5/100 .075
120 120/100 1.20
.8 .8/100 .008
7
Percents to fraction to decimal
When you change a to decimal,you move the
decimal 2 places LEFT ( drop the sign)
Percent Move decimal Decimal
5 05 .0 5
150 150 1.50
.2 002 .002
65 65 .65
8
Percents to fraction to decimal
When you change a decimal to a , you move the
decimal 2 places RIGHT add the sign
Decimal move decimal Percent
3 300 300
.35 35 35
4.5 450 450
.2 20 20
9
Percent of a number
  • Change percent to a decimal
  • means hundredth
  • Multiply number by the decimal

75 of 45.00 75 is 75/100 or .75
45 x.75 225 315 33.75
33.75
10
Percent of a number
60 of 1,450.00 60 .60
1450.00
60 870.0000
870.00
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