Fractions, Decimals, and Percents

4,517 views
4,265 views

Published on

Published in: Education, Technology
2 Comments
8 Likes
Statistics
Notes
  • im in 6th grade.
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • thanks this really helped with my 6th grade math hmwk (homework).
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
No Downloads
Views
Total views
4,517
On SlideShare
0
From Embeds
0
Number of Embeds
95
Actions
Shares
0
Downloads
0
Comments
2
Likes
8
Embeds 0
No embeds

No notes for slide

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

×