Ta có: a:b=2:3
=>\(\frac{a}{2}=\frac{b}{3}\)
=>\(\frac{a}{16}=\frac{b}{24}\) (3)
b:c=4:5
=>\(\frac{b}{4}=\frac{c}{5}\)
=>\(\frac{b}{24}=\frac{c}{30}\) (2)
Ta có: c:d=6;7
=>\(\frac{c}{6}=\frac{d}{7}\)
=>\(\frac{c}{30}=\frac{d}{35}\) (1)
Từ (1),(2),(3) suy ra \(\frac{a}{16}=\frac{b}{24}=\frac{c}{30}=\frac{d}{35}\)
=>a:b:c:d=16:24:30:35