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  2. Diophantine approximation - Wikipedia

    en.wikipedia.org/wiki/Diophantine_approximation

    The equivalence may be read on the regular continued fraction representation, as shown by the following theorem of Serret: Theorem: Two irrational numbers x and y are equivalent if and only if there exist two positive integers h and k such that the regular continued fraction representations of x and y

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not equal) is a proper fraction. When the numerator and denominator of a fraction are equal (for example, ⁠ 7 / 7 ⁠), its value is 1, and the fraction therefore is improper. Its reciprocal is ...

  4. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...

  5. Numeral prefix - Wikipedia

    en.wikipedia.org/wiki/Numeral_prefix

    In Latin and Greek, the ordinal forms are also used for fractions for amounts higher than 2; only the fraction ⁠ 1 / 2 ⁠ has special forms. The same suffix may be used with more than one category of number, as for example the orginary numbers second ary and terti ary and the distributive numbers bi nary and ter nary .

  6. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

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  8. Solving quadratic equations with continued fractions - Wikipedia

    en.wikipedia.org/wiki/Solving_quadratic...

    If this infinite continued fraction converges at all, it must converge to one of the roots of the monic polynomial x 2 + bx + c = 0. Unfortunately, this particular continued fraction does not converge to a finite number in every case. We can easily see that this is so by considering the quadratic formula and a monic polynomial with real ...

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    Ad-Free AOL Mail offers you the AOL webmail experience minus paid ads, allowing you to focus on your inbox without distractions, for just $4.99 per month. Get Ad-Free AOL Mail Get a more ...

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