Question

Convert the following: \[\dfrac{2}{5}\]kL in hL.

Answer 1

Hint: Here we use the conversion of 1 Kiloliter as 10 hectoliter to convert the given value in the question. We use a unitary method which helps us to find the value of multiple units if we are given a value of a single unit.

Complete step-by-step answer:
We have to convert \[\dfrac{2}{5}\]KL in HL.
Here kL represents the unit Kiloliters and hL represents the unit Hectoliter. Both these units are used to measure capacity or volume.
We know that \[1\]kL \[ = 10\]hL … (1)
We know that when we are given a value of a single unit, we can find the value of multiple units by multiplying the value of a single unit to the number of units.
Here we are given the value of 1 kL, so we can find the value of multiple of 1kL by multiplying the number to 1kL
So, value of \[\dfrac{2}{5}\]kL \[ = \dfrac{2}{5} \times \]value of 1kL … (2)\[ \Rightarrow \]We can write the term multiplied to the fraction in the numerator.
\[ \Rightarrow \]Value of \[\dfrac{2}{5}\]kL \[ = \dfrac{{2 \times 10}}{5}\]hL
Now we solve the fraction in RHS of the equation.
We can write \[10 = 2 \times 5\]
Value of \[\dfrac{2}{5}\]kL \[ = \dfrac{{2 \times 5 \times 2}}{5}\]hL
Cancel the value of 5 from numerator and denominator.
\[ \Rightarrow \]Value of \[\dfrac{2}{5}\]kL \[ = 2 \times 2\]hL
Calculate the product on RHS of the equation.
\[ \Rightarrow \]Value of \[\dfrac{2}{5}\]kL \[ = 4\]hL

So, the conversion of \[\dfrac{2}{5}\]kL is \[4\]hL.

Note: Some other conversions from hectoliter are:
 1) 1 hectoliter is 100 liter
2) 1 hectoliter is 100,000 liter
Students might get confused in the conversion of multiple units, so they are always recommended to take help of the unitary method which goes step by step, then there are less chances of mistakes in the conversion.