Question

If a : b = 7 : 8 and b : c = 12 : 7 then find a : c in the simplest form.

Answer 1

$$\begin{gathered} \mathrm{Given}: \\ \frac{a}{b}=\frac{7}{8}\mathrm{and}\frac{b}{c}=\frac{12}{7} \\ \mathrm{Thus},\mathrm{we}\mathrm{have}: \\ \frac{a}{b}\times \frac{b}{c}=\frac{7}{8}\times \frac{12}{7} \\ \Rightarrow \frac{b}{c}=\frac{3}{2} \\ \therefore b:c=3:2 \end{gathered}$$