Question

Express the ratio in its simplest form 200m:5km

Answer 1

Hint: We will convert it into the same unit that is in the given question one is given in meters whereas the other one is in kilometers so we will do both either in kilometer or in meter units.

Complete step-by-step answer:
Here we are asked to convert the ratio in its simplest form 200m:5km.
So first we will convert 200m into kilometres and another one is already in kilometres. So, it will get easy for us to solve. So, let’s do it. So basically, the ratio means the fraction. whenever we have a: b as the ratio of a and b respectively then we can write it in the fractional form as a/b. So, in the very same way we will do the given ratio.
So, we have 1km is equal to 1000m
By unitary method 200m is $ \dfrac{{200}}{{1000}} $
So, we have $ \dfrac{1}{5} $ that is equal to $ 0.2 $ .
So, let’s write the given ratio again by replacing 200m by 0.2km
So now we have $ 0.2:5 $
So now $ 0.2 $ can be written as $ \dfrac{2}{{10}} $ so replacing it in place of $ 0.2 $ km we have
 $ \Rightarrow \dfrac{{2}}{{50}} $
By taking 10 into the other side we have $ 2:50 $
Which also can be written as 1:25 as we divide 2 in both the sides.
Hence the final answer is 1:25
So, the correct answer is “1:25”.

Note: There exists an alternative method for the same. So here we can convert both into meters. So we will convert 5km in meters. So, we have 1km which is equal to 1000m.
Hence, we will convert 5km into 5000m now we will take the ratio of both.
Now we will replace 5000m in place of 5km
So now we have the ratio 200m:5000m
Now we will divide 200 in both the sides so we get 1:25
Hence the final answer is the same for both the numbers.