Saturday, March 5, 2011

The Relationship among fractions, decimals, and percents

Hi, kids.  By the end of this activity:
  • you will be able to move among fractions, decimals and percents.
  • you will understand the relationship among these types of numbers.
Average online time: 20 min
Average offline time: 10 min

1. TOPIC EXPLANATION
Let's remember some basic concepts.


■ A fraction represents how many parts (numerator) we take from the whole (denominator).

■ A decimal is a number that uses place value and a decimal point to show tenths, hundredths, thousandths and so on.

■ A percent means how many parts we take from a hundred.



2. How do we change fractions into decimals?
Let's change 3/4 into a decimal. Divide the numerator (3) into the denominator (4). 
Answer: 3/4 = 0.75


3. How do we change decimals into fractions?
Multiply the decimal by 100, which means moving the decimal point two times to the right
0.75 x 100 = 75%

4. YOUR TASK
Please choose any fraction and then change it first to a decimal number and then to a percent. The only fraction you cannot choose is one whose percent equals 50%.
See you around!

Additional information about the topic available at:
■ http://www.mccc.edu/~kelld/CompFDP.htm
■http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/decimalspercentages/
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29 comments:

  1. santi duartdeMarch 7, 2011 at 3:29 p.m.

    my fraction is 5/10 to change it into decimal. i need to divide 5 divided by 1o and is 0.05. to change it to i need to move the point to the right to ties and is 50 porcent:)

    ReplyDelete
  2. alejoMarch 7, 2011 at 3:40 p.m.

    6/7 divided is 0.85 and multiplied is 85 percent

    ReplyDelete
  3. maria gabriela tovarMarch 7, 2011 at 3:56 p.m.

    my fraction is 7/8 in decimal is 0.82 and in percent is 82%

    ReplyDelete
  4. Alethia,March 7, 2011 at 7:21 p.m.

    Alejandro, well done!
    Santi, please choose a fraction whose percent is different from 50%
    Gabriela, please check your division, 7/8 is not 0.82
    See you around!

    ReplyDelete
  5. maria alejandra salasMarch 7, 2011 at 7:41 p.m.

    my fraction is 4/5 in decimal is 0.8 and in porcentage is 8%

    ReplyDelete
  6. maria alejandra salasMarch 7, 2011 at 7:42 p.m.

    sorry 80% persent is not 8%

    ReplyDelete
  7. Alethia,March 7, 2011 at 7:43 p.m.

    María Alejandra, well done!

    ReplyDelete
  8. Maria CamilaMarch 7, 2011 at 8:19 p.m.

    my fraction is 5/6 so I need to divide 5 divided by to and it is: 0.83 and the percent is 83.

    ReplyDelete
  9. cesar olarteMarch 7, 2011 at 10:20 p.m.

    my fraction is 3/5 I need to divide 3/5 is 0.6 and the percentage is 60%

    ReplyDelete
  10. angela peñaMarch 8, 2011 at 4:49 p.m.

    6/7 divided is 0.85 and multiplied is 85 percent!!
    angela peña 5b

    ReplyDelete
  11. Andres AriasMarch 8, 2011 at 5:01 p.m.

    0,94 is always the persent when the number is 0, and what ever number the number that is next to the coma is the persent %

    ReplyDelete
  12. santi duarteMarch 8, 2011 at 5:11 p.m.

    the other fraction is 2/10. to change it decima i need to divide 10 2 divide by 10 and is 0.2 and to change it into porcent i need to move to times the point and is 20 porcent

    ReplyDelete
  13. Silvia MejiaMarch 8, 2011 at 5:28 p.m.

    My fraction is: 9/12
    My decimal is: 0.75
    My percent is: 75%

    ReplyDelete
  14. MATEOMarch 8, 2011 at 5:31 p.m.

    My fraction is 2/5 when i divided it gives me 0.40 and multiplying it gives me 40%.
    by miss se you tomorrow

    ReplyDelete
  15. Julian DuarteMarch 8, 2011 at 5:31 p.m.

    My fraction is 8/3 i need to divide 8 in 3 the answer is 0.375 this is the decimal the persentage is 375
    Julian Duarte

    ReplyDelete
  16. Alethia,March 8, 2011 at 5:42 p.m.

    Ma Camila, César, Angela, Santi, Silvia, & Mateo, well done!
    Andrés please read Silvia's comment and follow the structure she proposes
    Julián, are you sure the fraction is 8/3? What type of fraction is 8/3? Is it greater than 1 (100%)?
    See you around!

    ReplyDelete
  17. AnonymousMarch 8, 2011 at 5:51 p.m.

    my fractions is 2/3 then if divide 2 in 3 my decimal is equal 0.66 then i have a 66%
    Wiilam de la Hoz

    ReplyDelete
  18. AnonymousMarch 8, 2011 at 6:18 p.m.

    The fraction that i choose in 4/6 and i changed to a decimal and the answer is 0.66 and then i multiplied and the percent is 66%.

    juan felipe stand

    ReplyDelete
  19. AnonymousMarch 8, 2011 at 6:54 p.m.

    The fraction that I choose is 4/9, if I change it into a decimal the answer is 0.44, and multiplying my percent is 66%.

    Maria Paula Donoso

    ReplyDelete
  20. Alethia,March 8, 2011 at 6:59 p.m.

    Juan Felipe & William, well done!
    María Paula, if your decimall is 0.44 why is your percent 66%?

    ReplyDelete
  21. AnonymousMarch 8, 2011 at 7:00 p.m.

    My fraction is 3/11.when i changed into a decimal is 0.27 then i move th decimall point 2 times to the right and the porcentage will be 27%.

    Carlos Trujillo 5B

    ReplyDelete
  22. angela peñaMarch 8, 2011 at 7:23 p.m.

    my fraction is 4/5 in decimal is 0.8 and in porcentage is 80%

    ReplyDelete
  23. Juan Pablo VacaMarch 8, 2011 at 7:33 p.m.

    my fraction is 3/5, a decimal would be 0.60, and the percent would be 60%

    ReplyDelete
  24. olguis f varonMarch 8, 2011 at 7:52 p.m.

    hi miss:
    mi fraction is 7/8 and the decimal is 0.87 and the percent is 87%.

    miss what can i do if the last tuesday i was sick??
    good nigth miss
    olga fernanda varon 5ºB

    ReplyDelete
  25. veroMarch 8, 2011 at 10:18 p.m.

    Fraction:2/5
    DECIMAL:0.40
    PERCENTAGE:40%

    ReplyDelete
  26. Tabata TamayoMarch 9, 2011 at 7:02 p.m.

    My fraction is 2/6 so the decimal is 0.33 and the porcentage is 33%

    ReplyDelete
  27. AnonymousMarch 9, 2011 at 7:27 p.m.

    Hy !! My work :
    2/6 : 0.33 : 33%

    Thank You
    att: Isa Gomez

    ReplyDelete
  28. lourdes manriqueMarch 9, 2011 at 7:53 p.m.

    okay miss !!
    my fraction is 1/5 and when i divide it gives me 0.2 = 20%

    thanks miss
    lourdes manrique

    ReplyDelete
  29. AnonymousApril 4, 2011 at 9:02 p.m.

    I choose 3/5 and the decimal is 0.6 and the percent is 60%

    daniela piedrahita

    ReplyDelete

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