Question

What is 0.24 divided by 6 ?

Answer 1

Hint: We will first convert our given decimal quantity into a fraction. For converting decimal to fraction, remember that every place after the decimal point is taken as $\dfrac{1}{10}$. If there is one place after the decimal point, it is taken as $\dfrac{1}{10}$. If there are two places after the decimal then $\dfrac{1}{100}$, if three places then $\dfrac{1}{1000}$ and so on as we move ahead. We will use this to solve our problem.

Complete step-by-step answer:
Let us first convert the decimal into its fractional form. The decimal number is 0.24, that is, two digits after the decimal, so to convert it into a fraction, we will divide it by hundred. This can be done as follows:
Let the fractional form of 0.24 be ‘x’. Then ‘x’ can be written as:
$\begin{align}
  & \Rightarrow x=\dfrac{24}{100} \\
 & \Rightarrow x=\dfrac{6}{25} \\
\end{align}$

Now, let the result when ‘x’ is divided by 6 be denoted by ‘z’. Then, we can calculate ‘z’ as follows:
$\Rightarrow z=\dfrac{x}{6}$
Putting the fractional value of ‘x’ calculated above in our equation, we get:
$\begin{align}
  & \Rightarrow z=\dfrac{\dfrac{6}{25}}{6} \\
 & \Rightarrow z=\dfrac{1}{25} \\
\end{align}$
Converting the final value into its decimal format, we get:
$\begin{align}
  & \Rightarrow z=\dfrac{1}{25}\times \dfrac{100}{100} \\
 & \Rightarrow z=\dfrac{4}{100} \\
 & \therefore z=0.04 \\
\end{align}$
Thus, the final result in decimal form is 0.04 .
Hence, when we divide 0.24 by 6, we get the final result as 0.04 .

Note: To understand what kind of fraction is formed or given to us, we need to know all the three types of fraction. Firstly, proper fraction is a fraction whose numerator is less than its denominator and in improper fraction, the condition is reversed. Also, in mixed fraction, the whole number is written separately in the left with the proper fraction in the right.