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