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Math Help - Converting Fractions to Percents: If there's a remainder, where do you go from there?

  1. #1
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    Question Converting Fractions to Percents: If there's a remainder, where do you go from there?

    I am converting fractions to percents, rounding to the nearest hundredth.
    The problem I'm stuck on is 9/11.
    I multiplied 9/11 by 100/1 to get 900/11
    Now I've begun dividing, and get stuck at the same part.
    Step by step -
    1. 11 goes into 90, 8 times
    2. 90-88 = 20
    3. 20 goes into 11, 1 time
    4. 20-11= 9

    ? ? ? ?

    The answer sheet states the answer as being 81.81

    Anyone willing to explain & clarify this for me, deeply appreciated
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  2. #2
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    You are correct in your calculations. 900 / 11 is a repeating decimal: 81.818181... When rounded to the nearest hundredth, it is 81.82 since the following digit is 8, which is greater than or equal to 5.
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  3. #3
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    But I never actually get the answer 81.81, I keep getting 81.9
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  4. #4
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    Quote Originally Posted by INDIGOLOST View Post
    But I never actually get the answer 81.81, I keep getting 81.9
    Quote Originally Posted by INDIGOLOST View Post
    Step by step -
    1. 11 goes into 90, 8 times
    2. 90-88 = 20
    3. 20 goes into 11, 1 time
    4. 20-11= 9
    It would be better to do this using long division, then you could see what you need to do a bit easier. Step 4 should read:
    4. 20 - 11 = 9.0
    5. 11 goes into 9.0, 0.8 times
    6. 9.0 - 0.8 = 0.20
    etc. Keep bringing those zeros in.

    -Dan
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  5. #5
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    I understand step 4, but you lose me at step 5... HOW does 11 go into 9 ''.8'' times???? so confusing..
    I'm sorry I am so algebraically handicapped.
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  6. #6
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    The long division looks like this:
    Code:
        81.81...
      --------
    12)900     
       88     
       --     
        20     
        11     
        --     
         90     
         88     
         --     
          20     
          12     
          --     
           80     
           ...
    Interesting fact: In Russia, the first several lines are written like this:
    Code:
    900 | 11
    88  +------
    --  | 81.81
     20
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