O Pequeno Teorema de Fermat e as dízimas periódicas

Abstract

This work has as main objective to study the periodic tithe, to the form: b,c1 ...cn d1...dh , in that b,n,c1 ,...,cn,h and d1,...,dh are whole numbers no negatives, and is the period of the tithe.In this monograph we will show starting from an irreducible fraction a/p that it is possible to find the digits amount to the period of tithe, before even we make the division of a by p, as well the occurrence or not of pre-period that would be c, ...c as started in the previous paragraph.Therefore, I studied and made application of an important tool of Mathematics, which is Fermat's Little Theorem.