eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2022-04-21 10 1 4 11 10.12691/tjant-10-1-2 TJANT20221012 article On the Complexity of p-Adic Continued Fractions of Rational Number Rafik Belhadef Belhadef_rafik@univ-jijel.dz, rbelhadef@gmail.com 1 Henri-Alex Esbelin 2 LMPA, Jijel University, BP 98, Jijel, Algeria LIMOS, Clermont Auvergne University, Aubi¨¨re, France In this paper, we study the complexity of p-adic continued fractions of a rational number, which is the p-adic analogue of the Lame¡¯s theorem. We calculate the length of Browkin expansion, and the length of Schneider expansion. Also, some numerical examples have been given. http://pubs.sciepub.com/tjant/10/1/2/tjant-10-1-2.pdf rational number p-adic number continued fractions