\(\frac{A}{B}=\frac{2}{3};\frac{B}{C}=\frac{6}{7}\)
\(\frac{B}{C}=\frac{3}{3,5}\)
\(\frac{A}{C}=\frac{2}{3,5}=\frac{4}{7}\)
\(\frac{A}{B}=\frac{2}{3};\frac{B}{C}=\frac{6}{7}\Rightarrow\frac{A}{2}=\frac{B}{3};\frac{B}{6}=\frac{C}{7}\)\(\Rightarrow\frac{A}{4}=\frac{B}{6}\Rightarrow\frac{A}{4}=\frac{B}{6}=\frac{C}{7}\Rightarrow\frac{A}{C}=\frac{4}{7}\)