Answer
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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 ,
$\begin{align}
& 4m=4\times 1m \\
& =4\times 100cm \\
& =400cm \\
\end{align}$
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 \[\dfrac{a}{b}\] .Therefore the ratio is $\dfrac{400}{400}=1$ 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.
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 ,
$\begin{align}
& 4m=4\times 1m \\
& =4\times 100cm \\
& =400cm \\
\end{align}$
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 \[\dfrac{a}{b}\] .Therefore the ratio is $\dfrac{400}{400}=1$ 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.
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