[tex](3\frac{1}{2}:2\frac{1}{3}):(6:\frac{12}{19})[/tex]
Introducem intregii: [tex](\frac{2*3+1}{2}:\frac{3*2+1}{3}):(6:\frac{12}{19})[/tex] =[tex](\frac{6}{2} :\frac{6}{3}):(6:\frac{12}{19})[/tex]
Impartim fractiile: [tex](\frac{6}{2}*\frac{3}{6}):(\frac{6}{1}*\frac{19}{12})[/tex]=[tex](\frac{18}{12}):(\frac{114}{12})[/tex]
Impartim cele doua fractii ramase: [tex]\frac{18}{12}*\frac{12}{114}[/tex]
Simplificam pe diagonala:[tex]\frac{18}{1}*\frac{1}{114}[/tex]=[tex]\frac{18}{114}[/tex]
Aducem fractia la forma sa ireductibila: [tex]\frac{3}{19}[/tex]
