This document provides instructions and worksheets for an activity involving sorting and counting Skittles candies by color. Students will sort Skittles, count the number of each color, record the data, and calculate fractions, decimals, percents, and create a pie chart to represent the results. Conversion steps are provided between fractions, decimals, and percents. The document also includes instructions for a game to practice converting between these representations.

1. 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