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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For repeating patterns that begin immediately after the decimal point, the result of the conversion is the fraction with the pattern as a numerator, and the same number of nines as a denominator. For example: 0. 5 = 5/9 0. 62 = 62/99 0. 264 = 264/999 0. 6291 = 6291/9999

  3. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    The same fraction can be expressed in many different forms. As long as the ratio between numerator and denominator is the same, the fractions represent the same ...

  4. Greatest common divisor - Wikipedia

    en.wikipedia.org/wiki/Greatest_common_divisor

    This means that the computation of greatest common divisor has, up to a constant factor, the same complexity as the multiplication. However, if a fast multiplication algorithm is used, one may modify the Euclidean algorithm for improving the complexity, but the computation of a greatest common divisor becomes slower than the multiplication.

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Most arithmetic operations on rational numbers can be calculated by performing a series of integer arithmetic operations on the numerators and the denominators of the involved numbers. If two rational numbers have the same denominator then they can be added by adding their numerators and keeping the common denominator.

  6. Division algorithm - Wikipedia

    en.wikipedia.org/wiki/Division_algorithm

    It results that, for large integers, the computer time needed for a division is the same, up to a constant factor, as the time needed for a multiplication, whichever multiplication algorithm is used. Discussion will refer to the form / = (,), where N = numerator (dividend) D = denominator (divisor) is the input, and Q = quotient

  7. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    A way to express division all on one line is to write the dividend (or numerator), then a slash, then the divisor (or denominator), as follows: / This is the usual way of specifying division in most computer programming languages, since it can easily be typed as a simple sequence of ASCII characters.

  8. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    The irreducible fraction for a given element is unique up to multiplication of denominator and numerator by the same invertible element. In the case of the rational numbers this means that any number has two irreducible fractions, related by a change of sign of both numerator and denominator; this ambiguity can be removed by requiring the ...

  9. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    To begin solving, we multiply each side of the equation by the least common denominator of all the fractions contained in the equation. In this case, the least common denominator is () (+). After performing these operations, the fractions are eliminated, and the equation becomes:

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