expansion of fraction

expansion of fraction
multiplication of the numerator and the denominator by a specific number

English contemporary dictionary. 2014.

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  • Egyptian fraction — An Egyptian fraction is the sum of distinct unit fractions, such as frac{1}{2}+ frac{1}{3}+ frac{1}{16}. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators… …   Wikipedia

  • Continued fraction — Finite continued fraction, where a0 is an integer, any other ai are positive integers, and n is a non negative integer. In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the… …   Wikipedia

  • Continued fraction of Gauss — In complex analysis, the continued fraction of Gauss is a particular continued fraction derived from the hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several… …   Wikipedia

  • Gauss's continued fraction — In complex analysis, Gauss s continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several …   Wikipedia

  • Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   Wikipedia

  • Engel expansion — The Engel expansion of a positive real number x is the unique non decreasing sequence of positive integers {a 1,a 2,a 3,dots} such that:x=frac{1}{a 1}+frac{1}{a 1a 2}+frac{1}{a 1a 2a 3}+cdots.;Rational numbers have a finite Engel expansion, while …   Wikipedia

  • Periodic continued fraction — In mathematics, an infinite periodic continued fraction is a continued fraction that can be placed in the form:x = a 0 + cfrac{1}{a 1 + cfrac{1}{a 2 + cfrac{ddots}{quadddotsquad a k + cfrac{1}{a {k+1} + cfrac{ddots}{quadddotsquad a {k+m 1} +… …   Wikipedia

  • Odd greedy expansion — In number theory, the odd greedy expansion problem concerns a method for forming Egyptian fractions in which all denominators are odd. If a rational number x/y is a sum of odd unit fractions, then y must be odd. Conversely, it is known that… …   Wikipedia

  • Auxiliary fraction — In Swami Bharati Krishna Tirtha s Vedic mathematics, the auxiliary fraction method is used to convert a fraction to its equivalent decimal representation. The auxiliary fraction is not a true fraction, but is simply a mnemonic aid used in the… …   Wikipedia

  • Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… …   Wikipedia

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