Theo đề bài ta có:
\(\dfrac{a}{b}=\dfrac{3}{7}\Rightarrow7a=3b\)
\(\dfrac{c}{b}=\dfrac{15}{28}\Rightarrow28c=15b\)
\(7a=3b\Rightarrow35a=15b\)
\(\Leftrightarrow35a=28c\)
\(c=\dfrac{35}{28}=\dfrac{5}{4}a\)
Ta có:
\(\dfrac{a}{b}=\dfrac{3}{7}\Rightarrow\dfrac{a}{3}=\dfrac{b}{7}\Rightarrow\dfrac{a}{12}=\dfrac{b}{28}\)(1)
\(\dfrac{c}{b}=\dfrac{15}{28}\Rightarrow\dfrac{c}{15}=\dfrac{b}{28}\)(2)
Từ (1) và (2) suy ra:
\(\dfrac{a}{12}=\dfrac{c}{15}\Rightarrow\dfrac{a}{c}=\dfrac{12}{15}\)
Vậy.............
Chúc bạn học tốt!!