Question

Find the ratio of $40\mathrm{cm}$ to $1.5\mathrm{m}$.

Answer 1

Step 1: Express the bigger quantity in terms of the smaller quantity:

$1.5\mathrm{m}$ is bigger than $40\mathrm{cm}$.

$\begin{array}{rcl}1\mathrm{m}& =& 100\mathrm{cm}\\ \therefore 1.5\mathrm{m}& =& 150\mathrm{cm}\end{array}$

Step 2: Find their ratio:

The ratio of $40\mathrm{cm}$ to $1.5\mathrm{m}$ is,

$$\begin{gathered} 40:150 \\ =4:15 \end{gathered}$$

Therefore, the ratio of $40\mathrm{cm}$ to $1.5\mathrm{m}$ is $4:15$.