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Partial sum of harmonic series as an improper fraction

  1. Jul 24, 2011 #1
    I am interested in calculating a a partial sum of harmonic series as an improper fraction.

    I added 1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10 with my calculator by finding a common denominator and got the fraction 6 999 840/3 628 800. It would take some time to do it for 1/2+1/3+...1/100.

    Is there any program that can create these fractions for any partial harmonic sum?
  2. jcsd
  3. Jul 24, 2011 #2
    Your calculator didn't simplify. [itex] \frac{6999840}{3628800} [/itex] simplifies to [itex] \frac{4861}{2520} [/itex] .

    As for doing it up to 100, does your calculator do sums? I have a casio classpad, which is similar in capabilities to a TI 89, and it does sums.

    Woah, I just had it do up to 1/100, and it's loooooooong. If your calculator isn't going to simplify it, it's going to be crazy.

    From what I hear a TI 83 will do it.
    Last edited: Jul 24, 2011
  4. Jul 25, 2011 #3

    Gib Z

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    Homework Helper

  5. Jul 25, 2011 #4
    Thanks Gib Z
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