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Homework Help: Find closest fraction to another fraction

  1. Sep 20, 2010 #1
    I'm trying to teach myself maths and I'm stuck at this problem:

    1. The problem statement, all variables and given/known data

    Which of the following fractions is nearest to [tex]\frac{1}{2}[/tex]?

    You must show your working.

    [tex]\frac{3}{5}[/tex] [tex]\frac{7}{10}[/tex] [tex]\frac{11}{20}[/tex]

    2. Relevant equations

    3. The attempt at a solution

    I know the answer is [tex]\frac{11}{20}[/tex], because it just is! What I don't know how to do is "show my working". I've tried searching for "find closest fraction to another fraction" but I can't seem to find the proper technique for calculating this. Any pointers will be gratefully received.
  2. jcsd
  3. Sep 20, 2010 #2
    I guess you can show by dividing each fraction!
    e.g., 3/5 =0.6 and compare the each fraction's result with 1/2=0.5
    Last edited: Sep 20, 2010
  4. Sep 20, 2010 #3
    That makes sense! Thanks.
  5. Sep 20, 2010 #4
    Alternatively put them all over the same common denominator.
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