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Math Help - Need help with explaining a fraction to decimal and vice versa

  1. #1
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    Need help with explaining a fraction to decimal and vice versa

    We are learning how to convert fractions into decimals and then into percents. Ok well our teacher had us draw out a line and make 25,50,75,100% on this line and then had us underneath it say what the fraction of it would be. Ok so here is where i am stuck (so to speak)

    he said to get half of 25% we would need to divide 25 by 2 to get 12.5 and he said to make into a fraction which I got 1/8. This all makes sense to me.. now i know 1/16 is half of one eight and i got the decimal which is 6.25 but how does 6.25 go into a 1/16 fraction?

    I divided 1/16 which got me 0.0625 which is my decimal and i know to move it over two places to the right to get my percent but i dont know how to make it into a fraction of 1/16? Maybe my brain is fried right now

    someone help
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    Re: Need help with explaining a fraction to decimal and vice versa

    \frac{1}{16} = 0.0625 = 6.25%

    Going the other way 6.25% =  0.0625 this much should be clear.

    Which can be written as  0.0625 = \frac{0.0625}{1} as a fraction.

    Now times both the top and bottom by 1000 to remove the decimal point  \frac{0.0625}{1} =\frac{625}{10000}

    Then simplify and you will get  \frac{1}{16}
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    Re: Need help with explaining a fraction to decimal and vice versa

    Thank you so very much!! I was confused about the 0.0625 numerator. So if I do run into a problem like that again like say 0.0045 i just would times it by its placement value right? Which i dont think i will until i get into more complicated math.

    Thank you again so very much..i love your icon as well
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    Re: Need help with explaining a fraction to decimal and vice versa

    Quote Originally Posted by bttlehoth View Post
    So if I do run into a problem like that again like say 0.0045 i just would times it by its placement value right? Which i dont think i will until i get into more complicated math.
    Just multiply by the power of 10 which will make your decimal a whole number, do the same multiplication to the denominator.
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