Question

What is the compounded ratio of $10:30\text{and}60:80$?

Answer 1

Determine the compounded ratio of$10:30\text{and}60:80$.

For any ratio$a:b\mathrm{and}\mathit{}m\mathit{:}n$, the Compound ratio is defined as$a\times m:b\times n$

The compound ratio of $10:30\text{and}60:80$ is:

$$\begin{gathered} 10:30\text{×}60:80 \\ =10\times 60:30\times 80 \\ =\frac{10\times 60}{30\times 80} \\ =\frac{1}{4} \end{gathered}$$

Hence, the compounded ratio is $1:4$.