Answer:
a:d=7:9
Step-by-step explanation:
We have a system with 3 equation:
[tex]\frac{a}{b}=\frac{2}{3}\\\frac{b}{c}=\frac{4}{3}\\\frac{c}{d}=\frac{7}{8}[/tex]
If we multiply all of these equations, then we have:
[tex]\frac{a}{b}*\frac{b}{c}*\frac{c}{d}=\frac{2}{3}*\frac{4}{3}*\frac{7}{8}\\\frac{a*b*c}{b*c*d}=\frac{2*4*7}{3*3*8}\\\frac{a}{d}=\frac{56}{72}[/tex]
If we simplify this fraction dividing by 9, then:
[tex]\frac{a}{d}=\frac{56:9}{72:9}=\frac{7}{9}[/tex]
Therefore, a:d=7:9
