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Math Help - euler phi function

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    euler phi function

    Let n be within Z with n>0. Prove that the number of fractions a/b in lowest terms with 0<a/b1 and bn is
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    The factions are:

    x/1, [1]
    x/2, [2]
    x/3, [3]
    ...
    x/n. [4]

    In [1] the number of reduced fractions is \phi (1).
    In [2] the number of reduced fractions is \phi (2).
    In [3] the number of reduced fractions is \phi(3).
    ...
    In [4] the number of reduced fractions is \phi(n).

    Thus, in total we have \phi ( 1) + ... + \phi(n) such fractions.
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