Denominators

Some articles on denominators, denominator:

Fundamental Recurrence Formulas
... formulas relate the partial numerators and the partial denominators with the numerators and denominators of the fraction's successive convergents ... where the an (the partial numerators) and the bn (the partial denominators) are numbers ... Denoting the successive numerators and denominators of the fraction by An and Bn, respectively, the fundamental recurrence formulas are given by The continued fraction's successive convergents are then given ...
Greedy Algorithm For Egyptian Fractions - Related Expansions
... In general, if one wants an Egyptian fraction expansion in which the denominators are constrained in some way, it is possible to define a greedy algorithm in which at each step one chooses the ... the Engel expansion can be viewed as an algorithm of this type in which each successive denominator must be a multiple of the previous one ... is formed by a greedy algorithm of this type in which all denominators are constrained to be odd numbers it is known that, whenever y is odd, there is a finite Egyptian fraction expansion in which all ...
Connected Mathematics - Controversy - Examples of Criticism - Comparing Fractions
... of comparing fractions with different denominators by using benchmark fractions, fraction strips, and other strategies ... method, which is to convert to fractions using the least common denominator, may not have appeared in the first edition, according to some critics ... Parents are told that students do learn how to use common denominators in adding fractions, but some have expressed concern because a direct explanation does not ...
Von Staudt–Clausen Theorem
... This fact immediately allows us to characterize the denominators of the non-zero Bernoulli numbers B2n as the product of all primes p such that p − 1 divides 2n consequently the ... These denominators are 6, 30, 42, 30, 66, 2730, 6, 510, 798, 330, 138, 2730, 6, 870, 14322, 510, 6, 1919190, 6, 13530.. ...
Forming The Auxiliary Fraction
... The formation of the auxiliary fraction depends on the denominator ... There are four cases Type One A denominators which end in a single nine Type One B denominators which end in several nines Type Two denominators which end in one Type Three denominators which end in the digits, 2, 3 ... If the denominator ends in zero(s), its first non-zero digit (from the right) identifies the family of the denominator ...