Article : Fractions with a nice profile - Lycée Arago (Perpignan) Colegiul National B.P. Hasdeu (Buzau, Roumanie)

Résumé de la production
A positive fraction is said to have a nice profile if it can be written as a sum of other fractions, all different, each one of the form 1/p with p a positive integer.
For instance, the fraction 5/6=1/2+1/3 has a nice profile.
There are a lot of questions that can be asked about that topic. For example, which fractions have a nice profile? Is it possible to find general and automatic methods to write any given fraction in this way? If a fraction has a nice profile, how many ways are there to break it down? What if we are interested in sums of two fractions only? etc…
Mots clés
fraction égyptienne
calcul algébrique
Validation comité d'édition