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  • Repeating decimal - Wikipedia
    A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is
  • Fixed-point arithmetic - Wikipedia
    Any binary fraction a 2 m, such as 1 16 or 17 32, can be exactly represented in fixed-point, with a power-of-two scaling factor 1 2 n with any n ≥ m However, most decimal fractions like 0 1 or 0 123 are infinite repeating fractions in base 2 and hence cannot be represented that way Similarly, any decimal fraction a 10 m, such as 1 100 or 37 1000, can be exactly represented in fixed
  • Decimal representation - Wikipedia
    Every decimal representation of a rational number can be converted to a fraction by converting it into a sum of the integer, non-repeating, and repeating parts and then converting that sum to a single fraction with a common denominator
  • Simple continued fraction - Wikipedia
    A simple or regular continued fraction is a continued fraction with numerators all equal to one, and denominators built from a sequence of integer numbers The sequence can be finite or infinite, resulting in a finite (or terminated) continued fraction like or an infinite continued fraction like Typically, such a continued fraction is obtained through an iterative process of representing a
  • Decimal - Wikipedia
    Decimal may also refer specifically to the digits after the decimal separator, such as in " 3 14 is the approximation of π to two decimals " The numbers that may be represented exactly by a decimal of finite length are the decimal fractions That is, fractions of the form a 10n, where a is an integer, and n is a non-negative integer
  • Decimal data type - Wikipedia
    Although all decimal fractions are fractions, and thus it is possible to use a rational data type to represent it exactly, it may be more convenient in many situations to consider only non-repeating decimal fractions (fractions whose denominator is a power of ten)
  • Transposable integer - Wikipedia
    Every repeating decimal can be expressed as a rational number (fraction) Every integer, when added with a decimal point in front and concatenated with itself infinite times, can be converted to a fraction, e g we can transform 123456 in this manner to 0 123456123456 , which can thus be converted to fraction 123456⁄999999
  • Continued fraction - Wikipedia
    A continued fraction is a mathematical expression written as a fraction whose denominator contains a sum involving another fraction, which may itself be a simple or a continued fraction [1] If this iteration (repetitive process) terminates with a simple fraction, the result is a finite continued fraction; if it continues indefinitely, the result is an infinite continued fraction The special





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