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  • Unit fraction - Wikipedia
    Unit fraction Slices of approximately 1 8 of a pizza A unit fraction is a positive fraction with one as its numerator, 1 n It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number Examples are 1 1, 1 2, 1 3, 1 4, 1 5, etc
  • Fraction - Wikipedia
    The reciprocal of a fraction is another fraction with the numerator and denominator exchanged The reciprocal of ⁠ 3 7 ⁠, for instance, is ⁠ 7 3 ⁠ The product of a non-zero fraction and its reciprocal is 1, hence the reciprocal is the multiplicative inverse of a fraction The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that
  • List of sums of reciprocals - Wikipedia
    The harmonic mean of a set of positive integers is the number of numbers times the reciprocal of the sum of their reciprocals The optic equation requires the sum of the reciprocals of two positive integers a and b to equal the reciprocal of a third positive integer c All solutions are given by a = mn + m2, b = mn + n2, c = mn This equation appears in various contexts in elementary geometry
  • Reciprocals of primes - Wikipedia
    Rules for calculating the periods of repeating decimals from rational fractions were given by James Whitbread Lee Glaisher in 1878 [5] For a prime p, the period of its reciprocal divides p − 1 [6] The sequence of recurrence periods of the reciprocal primes (sequence A002371 in the OEIS) appears in the 1973 Handbook of Integer Sequences
  • Inverse distribution - Wikipedia
    Inverse distribution In probability theory and statistics, an inverse distribution is the distribution of the reciprocal of a random variable Inverse distributions arise in particular in the Bayesian context of prior distributions and posterior distributions for scale parameters





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