Răspuns :
Buna!
[tex]\frac{a}{b} =\frac{3}{2} => 2a=3b=> a=\frac{3b}{2} \\\frac{c}{b}=\frac{3}{5} => 5c=3b=> c=\frac{3b}{5} \\=> \frac{a}{c} =\frac{\frac{3b}{2} }{\frac{3b}{5} }=\frac{3b}{2}:\frac{3b}{5} =\frac{3b}{2}*\frac{5}{3b} =\frac{5}{2}[/tex]
Rezultat: a/c=5/2
a/b=3/2
c/b=3/5 sau putem scrie b/c=5/3
Facem produsul lor:
(a/b)×(b/c)=a/c=(3/2)×(5/3)=5/2
Deci a/c=5/2