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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In general, a common fraction is said to be a proper fraction, if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1. [14] [15] It is said to be an improper fraction, or sometimes top-heavy fraction, [16] if the absolute value of the fraction is greater than or equal to 1 ...

  3. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    The notion of irreducible fraction generalizes to the field of fractions of any unique factorization domain: any element of such a field can be written as a fraction in which denominator and numerator are coprime, by dividing both by their greatest common divisor. [7] This applies notably to rational expressions over a field. The irreducible ...

  4. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    Therefore, if a number n is a multiple of 7 (i.e.: the remainder of n/7 is 0), then adding (or subtracting) multiples of 7 cannot change that property. What this procedure does, as explained above for most divisibility rules, is simply subtract little by little multiples of 7 from the original number until reaching a number that is small enough ...

  5. Periodic continued fraction - Wikipedia

    en.wikipedia.org/wiki/Periodic_continued_fraction

    By considering the complete quotients of periodic continued fractions, Euler was able to prove that if x is a regular periodic continued fraction, then x is a quadratic irrational number. The proof is straightforward. From the fraction itself, one can construct the quadratic equation with integral coefficients that x must satisfy.

  6. The table consisted of 26 unit fraction series of the form 1/n written as sums of other rational numbers. [9] The Akhmim wooden tablet wrote difficult fractions of the form 1/n (specifically, 1/3, 1/7, 1/10, 1/11 and 1/13) in terms of Eye of Horus fractions which were fractions of the form ⁠ 1 / 2 k ⁠ and remainders expressed in terms of a ...

  7. 'No one will win a trade war,' China says after Trump tariff ...

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    Neither the United States nor China would win a trade war, the Chinese Embassy in Washington said on Monday, after U.S. President-elect Donald Trump threatened to slap an additional 10% tariff on ...

  8. Trump advisers seek to shrink or eliminate bank regulators ...

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  9. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

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