Question

Find the ratio of 4 m to 400 cm.

Answer 1

Hint: We will be using the concepts of ratio and proportion to solve the problem. We will be using the concepts of mensuration to convert m to cm or cm to m to further simplify the process.

Complete step-by-step solution -
We have to find the ratio of 4 m to 400 cm. So, we know that the ratio is always between the same quantities now we know that 4 m and 400 cm are both in different units. So, we have to convert both of them into the same units.
Now, we know that 1 m = 100 cm. Therefore, we can use this to convert 4 m to cm as ,
$\begin{array}{rl}& 4m=4\times 1m\\ & =4\times 100cm\\ & =400cm\end{array}$
Now, we have to find the ratio of 400 cm and 400 cm as we know the ratio between two things a and b is represented as a : b or $${\displaystyle \frac{a}{b}}$$ .Therefore the ratio is ${\displaystyle \frac{400}{400}}=1$ or 1 : 1.

Note: To solve these types of questions one must have a basic understanding of ratio and proportion also it has to be noted that ratio is always taken between the same things. So, we have converted m to cm so that both the quantities are in the same unit cm.