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# Fractions, Decimals, and Percents

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### Fractions, Decimals, and Percents

1. 1. Fractions, Decimals, and Percents
2. 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. 3. Skittles Activity SheetColors: Green Purple Yellow Red OrangeAmount: 7 6 3 9 5Amount * 100 700 600 300 900 500Fraction 7/30 6/30 3/30 9/30 5/30 1/5 1/10 3/10 1/6Fraction *100 700/3000= 600/3000= 300/3000= 900/3000= 500/3000= 7/30 1/5 1/10 3/10 1/6Percent 23% 20% 10% 30% 17%Decimal 0.23 0.2 0.1 0.3 0.17
4. 4. Skittles Pie Chart 17% 23% Green Purple Yellow Red30% 20% Orange 10%
5. 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. 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. 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. 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. 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. 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 fractionSteps: Example:Convert 80% to a decimal (80/100): 0.8Write down the decimal "over" the 0.8 /1number 1)Then multiply top and bottom by 10 forevery number after the decimal point (10 0.8 × 10 / 1 × 10for 1 number, 100 for 2 numbers, etc)(This makes it a correctly formed fraction) = 8 / 10Then Simplify the fraction 4 /5
11. 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