Question

What is the decimal form of \[\dfrac{6}{8}\]?

Answer 1

Hint: In the given question, we are given a fraction and we are asked to convert the given fraction into its equivalent decimal form. We can carry this out by using the long division method. So, we will be dividing the numerator by the denominator and we will get the equivalent decimal form as the quotient, that is, we will divide 6 by 8 and we will get the required decimal form as the quotient of our long division method used. Hence, we will have the decimal form of the given fraction.

Complete step by step solution:
According to the given question, we are given a fraction and we have to express the given fraction in the decimal form.
The given fraction we have is,
\[\dfrac{6}{8}\]----(1)
To find the decimal form of the given fraction, we can carry out the long division method and find the decimal form of the same.
So, in the long division method, we will be dividing the numerator by the denominator and we will be getting the decimal form as the quotient, that is, we will divide 6 by 8 and we will get the decimal form as the quotient of the long division method.
We have,
\[8\overset{0.75}{\overline{\left){\begin{align}
  & 6 \\
 & \underline{-0} \\
 & 60 \\
 & \underline{-56} \\
 & 40 \\
 & \underline{-40} \\
 & \_0\_ \\
\end{align}}\right.}}\]
We can see that the quotient is in decimal form and it is our required decimal form.

Therefore, the decimal form of the given fraction \[\dfrac{6}{8}=0.75\].

Note: While doing the long division method, the process should be clear and should be done step wise. Also, whenever using the long division method, the decimal from is always obtained as the quotient and never as the remainder. The decimal form from a fraction can also be obtained by making the denominator a factor of 10.