Question

Express the following as ratio in simplest form.
4 kg to 250 gm

Answer 1

Hint:
Here, we will first convert kilogram into grams. Then we will divide the obtained weight by 250 gm to get the simplest fraction. Then we will write the fraction in the terms of the ratio.

Complete step by step solution:
We have to calculate the ratio of 4 kg to 250 gm. For that, we need to know the value of 4 kilogram in grams.
We know that the value of one kilogram is equal to one thousand grams.
We can calculate the value of 4 kg in grams by multiplying the number of kilograms by 1000.
Therefore,
\[4{\rm{kg}} = 4000{\rm{gm}}\]
Now the units of both the weights are in gram so we can easily divide them to get the simplest fraction.
\[\dfrac{{4{\rm{kg}}}}{{250{\rm{gm}}}}{\rm{ = }}\dfrac{{4000{\rm{gm}}}}{{250{\rm{gm}}}}\]
Simplifying the fraction, we get
\[\dfrac{{4{\rm{kg}}}}{{250{\rm{gm}}}}{\rm{ = }}\dfrac{{16}}{1}\]
 As we cannot simplify the fraction further thus we can say that the \[\dfrac{{16}}{1}\] is the simplest form.

So the required ratio of 4 kg to 250 gm is \[16:1\]

Note:
We can see 4kg to 250 gm is given, here to represent ratio.
Here are some properties of ratio:-
1) If two ratios are equal then their inverses are also equal.
2) For four numbers, let’s take a, b, c, d. if \[a:b = c:d\] then \[a:c = b:d\]i.e. if the second term and third term interchange their places, then also the four terms are still in proportion.
3) If two ratios are equal then the ratio of their sum of numerator and denominator to the denominator are also equal.
4) If two ratios are equal then the ratio of the difference of numerator and denominator to the denominator are also equal.