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repeating fraction

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  • Repeating decimal — A decimal representation of a real number is called a repeating decimal (or recurring decimal) if at some point it becomes periodic: there is some finite sequence of digits that is repeated indefinitely. For example, the decimal representation of …   Wikipedia

  • Fraction (mathematics) — A cake with one quarter removed. The remaining three quarters are shown. Dotted lines indicate where the cake may be cut in order to divide it into equal parts. Each quarter of the cake is denoted by the fraction 1/4. A fraction (from Latin:… …   Wikipedia

  • repeating decimal — Decimal Dec i*mal, n. A number expressed in the scale of tens; specifically, and almost exclusively, used as synonymous with a decimal fraction. [1913 Webster] {Circulating decimal}, or {Circulatory decimal}, a decimal fraction in which the same… …   The Collaborative International Dictionary of English

  • repeating decimal — noun a decimal with a sequence of digits that repeats itself indefinitely • Syn: ↑circulating decimal, ↑recurring decimal • Hypernyms: ↑decimal fraction, ↑decimal * * * reˈpeating decimal 7 [repeating decimal] …   Useful english dictionary

  • 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

  • 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

  • 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

  • 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

  • decimal fraction — noun a proper fraction whose denominator is a power of 10 • Syn: ↑decimal • Derivationally related forms: ↑decimalize (for: ↑decimal), ↑decimalise (for: ↑decimal) …   Useful english dictionary

  • Sexagesimal — (base sixty) is a numeral system with sixty as the base. It originated with the ancient Sumerians in the 2000s BC, was transmitted to the Babylonians, and is still used in modified form for measuring time, angles, and geographic coordinates.The… …   Wikipedia

  • Transposable integer — A summary of this article appears in Repeating decimal. The digits of some specific integers permute or shift cyclically when they are multiplied by a number n. Examples are: 142857 × 3 = 428571 (shifts cyclically one place left) 142857 × 5 =… …   Wikipedia

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