Question

What is the ratio for 750 g of 5kg?

Answer 1

For finding the ratio of two quantities, we divide both the quantities after converting them into one system of units.

Complete step-by-step answer:
In mathematics, the number system is the branch that deals with various types of numbers possible to form and easy to operate. One of the sub branches of the number system is ratio and proportion. Under this category, comparison between quantities is expressed in terms of ratio of numbers. The ratio can be greater than or less than zero depending upon the value taken for division. One of the important features of ratio is that it is a unitless quantity.

Hence, both the units in the division must be similar so that they cancel out each other.

For our question, we have to find the ratio of 750 g to 5 kg. to do so, we first convert 5 kg into g so that both the terms in the division have the same units. To convert kg into g we multiply the quantity by 1000.
$\begin{align}
  & \therefore 5kg=5\times 1000g \\
 & =5000g \\
\end{align}$
Now, the ratio of 750 g to 5000 g will be.
$\Rightarrow \dfrac{750}{5000}=0.15 $
 In percentage, ${0.15}\times 100=15\% $

Note: Students must be careful while converting the unit because if the units in the numerator and denominator are not the same then the evaluated ratio would be wrong. So, in these types of problems unit conversion is the most important thing.