Question

Find the ratio of the following:
3,000 ml to 15 litres

Answer 1

Hint: First of all we should have some knowledge about the term ratio. The term ratio is used for comparing two or more quantities that are measured in the same units. The ratio of a quantity a to b is equal to \[\dfrac{a}{b}\].

Complete step-by-step answer:

In this question, we have been asked to find the ratio of 3,000 ml to 15 litres.
Both the given quantities are for volume but their units are different. So we will have to convert them into one unit.
We know that 1 litre = 1000 ml.
So we can write, 15 litres = \[15\times 1000\] ml = 15,000 ml
We know that the ratio of a quantity a to be is equal to \[\dfrac{a}{b}\].
So ratio of 3,000 ml to 15 litres \[=\dfrac{3000ml}{15litre}\]
On substituting the value of 15 litres in ml in the above equation, we will get as follows:
\[=\dfrac{3000}{15000}=\dfrac{1}{5}\]
Therefore the required ratio is equal to 1 to 5.

Note: The possible mistake that one can make in this question is by just taking the ratio without considering their units. The important condition of ratio is that the quantity that is measured must be in the same ratio. Remember the properties of ratio that it is a unitless quantity and that a ratio remains the same if both the antecedent and the consequent are divided or multiplied by the same non-zero number.