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Fractions, Decimals, and Percents
Skittles Activity
  Take the Skittles out of the bag and sort them by color
  Multiply the amount of Skittles you have per color by 100
  Record data on activity sheets
  Calculate total amount of Skittles
  Calculate and record the fractions for each color of Skittles
  Convert fractions into percents and record on activity sheet
  Convert percents into decimals and then record on activity sheet
  Create a pie chart representing the amount of each Skittle color
Skittles Activity Sheet
Colors:          Green       Purple      Yellow       Red        Orange

Amount:           7            6           3           9            5

Amount * 100      700          600         300         900         500

Fraction         7/30         6/30        3/30       9/30         5/30

                               1/5        1/10       3/10         1/6

Fraction *100   700/3000=   600/3000=   300/3000=   900/3000=   500/3000=

                  7/30         1/5        1/10        3/10         1/6

Percent           23%          20%         10%         30%         17%

Decimal           0.23         0.2         0.1         0.3         0.17
Skittles Pie Chart

      17%
                  23%

                          Green
                          Purple
                          Yellow
                          Red
30%                 20%   Orange



            10%
From Percent to Decimal

  To convert from percent to decimal:
    Divide by 100
    Remove the "%" sign


  The easiest way to divide by 100 is to move the decimal point 2 places
  to the left.
                 From Percent                   To Decimal  
From Decimal to Percent

  To convert from decimal to percent
    Multiply by 100
    Add a "%" sign


  The easiest way to multiply by 100 is to move the decimal point 2
  places to the right

                From Decimal                To Percent
From Fraction to Decimal

  The easiest way to convert a fraction to a decimal is to
    Divide the top number by the bottom number
    In mathematical language: Divide the numerator by the denominator


  Example:
    Convert 2/5 to a decimal
    Divide 2 by 5:
       2 ÷ 5 = 0.4
    Answer: 2/5 = 0.4
From Decimal to Fraction

  To convert a decimal to a fraction needs a little more work.
  Example: To convert 0.75 to a fraction

 Steps:                                      Example:

 First, write down the decimal "over" the    0.75   /1
 number 1


 Then multiply top and bottom by 10 for      0.75 × 100   / 1 × 100
 every number after the decimal point (10
 for 1 number, 100 for 2 numbers, etc)

 (This makes it a correctly formed fraction) = 75 / 100
 Then simplify the fraction                  3   /4
From Fraction to Percentage

  The easiest way to convert a fraction to a percentage is to
    Divide the top number by the bottom number
    Multiply the result by 100
    Add the "%" sign
  Example: Convert 3/8 to a percentage
    First divide 3 by 8:
       3 ÷ 8 = 0.375,
    Then multiply by 100:
       0.375 x 100 = 37.5
    Add the "%" sign:
       37.5%

  Answer: 3/8 = 37.5%
From Percentage to Fraction
  To convert a percentage to a fraction:
     First convert to a decimal (divide by 100)
     Then use the steps for converting decimal to fractions.
     Example: To convert 80% to a fraction

Steps:                                       Example:
Convert 80% to a decimal (80/100):           0.8


Write down the decimal "over" the            0.8   /1
number 1)

Then multiply top and bottom by 10 for
every number after the decimal point (10     0.8 × 10   / 1 × 10
for 1 number, 100 for 2 numbers, etc)
(This makes it a correctly formed fraction) = 8 / 10
Then Simplify the fraction                   4   /5
I Have….Who Has….
  We will now play a game that involves everyone paying careful
     attention to one another!
    The student who receives the index card with 50% will start the
     game
    This student will stand up and read the card:
       I have 50%. Who has the equivalent fraction?
       Then the students who has the card with ½ stands up and reads
        their card.
    Each student will read their card loud and clear
    The student who has the answer to the question that is
     read will stand up and read their card

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Fractions, Decimals, and Percents

  • 2. Skittles Activity   Take the Skittles out of the bag and sort them by color   Multiply the amount of Skittles you have per color by 100   Record data on activity sheets   Calculate total amount of Skittles   Calculate and record the fractions for each color of Skittles   Convert fractions into percents and record on activity sheet   Convert percents into decimals and then record on activity sheet   Create a pie chart representing the amount of each Skittle color
  • 3. Skittles Activity Sheet Colors: Green Purple Yellow Red Orange Amount: 7 6 3 9 5 Amount * 100 700 600 300 900 500 Fraction 7/30 6/30 3/30 9/30 5/30 1/5 1/10 3/10 1/6 Fraction *100 700/3000= 600/3000= 300/3000= 900/3000= 500/3000= 7/30 1/5 1/10 3/10 1/6 Percent 23% 20% 10% 30% 17% Decimal 0.23 0.2 0.1 0.3 0.17
  • 4. Skittles Pie Chart 17% 23% Green Purple Yellow Red 30% 20% Orange 10%
  • 5. From Percent to Decimal   To convert from percent to decimal:   Divide by 100   Remove the "%" sign   The easiest way to divide by 100 is to move the decimal point 2 places to the left. From Percent To Decimal  
  • 6. From Decimal to Percent   To convert from decimal to percent   Multiply by 100   Add a "%" sign   The easiest way to multiply by 100 is to move the decimal point 2 places to the right From Decimal To Percent
  • 7. From Fraction to Decimal   The easiest way to convert a fraction to a decimal is to   Divide the top number by the bottom number   In mathematical language: Divide the numerator by the denominator   Example:   Convert 2/5 to a decimal   Divide 2 by 5:   2 ÷ 5 = 0.4   Answer: 2/5 = 0.4
  • 8. From Decimal to Fraction   To convert a decimal to a fraction needs a little more work.   Example: To convert 0.75 to a fraction Steps: Example: First, write down the decimal "over" the 0.75 /1 number 1 Then multiply top and bottom by 10 for 0.75 × 100 / 1 × 100 every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc) (This makes it a correctly formed fraction) = 75 / 100 Then simplify the fraction 3 /4
  • 9. From Fraction to Percentage   The easiest way to convert a fraction to a percentage is to   Divide the top number by the bottom number   Multiply the result by 100   Add the "%" sign   Example: Convert 3/8 to a percentage   First divide 3 by 8:   3 ÷ 8 = 0.375,   Then multiply by 100:   0.375 x 100 = 37.5   Add the "%" sign:   37.5%   Answer: 3/8 = 37.5%
  • 10. From Percentage to Fraction   To convert a percentage to a fraction:   First convert to a decimal (divide by 100)   Then use the steps for converting decimal to fractions.   Example: To convert 80% to a fraction Steps: Example: Convert 80% to a decimal (80/100): 0.8 Write down the decimal "over" the 0.8 /1 number 1) Then multiply top and bottom by 10 for every number after the decimal point (10 0.8 × 10 / 1 × 10 for 1 number, 100 for 2 numbers, etc) (This makes it a correctly formed fraction) = 8 / 10 Then Simplify the fraction 4 /5
  • 11. I Have….Who Has….   We will now play a game that involves everyone paying careful attention to one another!   The student who receives the index card with 50% will start the game   This student will stand up and read the card:   I have 50%. Who has the equivalent fraction?   Then the students who has the card with ½ stands up and reads their card.   Each student will read their card loud and clear   The student who has the answer to the question that is read will stand up and read their card