Question

What is \[411/500\] as a decimal?

Answer 1

Hint: We are given a question which is asking us to convert the given fraction into a decimal. We will use the long division method to convert the given fraction into decimal. So, we will divide 411 by 500. The quotient we get on carrying out the division is the required decimal form of the given fraction. Hence, we will have the decimal equivalent of the given fraction.

Complete step-by-step answer:
According to the given function, we are given a fraction which we have to convert into decimal form.
To carry out the required conversion, we will use the long division method.
The given fraction that we have is,
\[411/500\]
So here, we will divide 411 by 500, that is, 411 is the dividend, 500 is the divisor. We will carry out the arithmetic division and we will the decimal form of the given fraction as the quotient of the division.
We have,
\[500\overset{0.822}{\overline{\left){\begin{align}
  & 411 \\
 & \underline{-0} \\
 & 4110 \\
 & \underline{-4000} \\
 & 1100 \\
 & \underline{-1000} \\
 & 1000 \\
 & \underline{-1000} \\
 & \_\_0\_ \\
\end{align}}\right.}}\]
We can see that the quotient of the above operation comes out to be 0.822, that is,
\[\dfrac{411}{500}=0.822\]
Therefore, the decimal equivalent of \[411/500\] is \[0.822\].

Note: We can also find the decimal form of the given fraction by converting the denominator of the given fraction as a multiple of 10, and in order to do that, we will multiply and divide the given fraction by 2 and so we get,
\[\dfrac{411}{500}.\dfrac{2}{2}=\dfrac{822}{1000}=0.822\]
That is, the decimal equivalent of \[411/500\] is \[0.822\].