Question

Convert $\dfrac{1}{6}$ to percentage.

Answer 1

Hint: In order to convert the given fraction to percentage, we first have to convert it into the decimal. For this, we need to divide the number in the numerator, which is equal to one, by the number in the denominator, which is equal to six. After the division, we will obtain the decimal form of the given fraction. Then, to obtain the percentage of the given fraction, we need to multiply the obtained decimal number by hundred. After the multiplication of the decimal number by hundred, we will obtain the required percentage form of the given fraction.

Complete step by step answer:
Let the given fraction in the above question be equal to n, so that we can write the equation
$\Rightarrow n=\dfrac{1}{6}$
According to the question, we need to convert the above fraction to percentage. For that, we first have to convert the above fraction to the decimal number. Therefore, we divide one by six as below.
\[6\overset{0.1666}{\overline{\left){\begin{align}
  & 1 \\
 & \underline{0} \\
 & 10 \\
 & \underline{6} \\
 & 40 \\
 & \underline{36} \\
 & 40 \\
 & \underline{36} \\
 & 4 \\
\end{align}}\right.}}\]
From the above division, we can write the decimal form of the given fraction as
$\Rightarrow n=0.1666$
Finally, for converting it into the percentage, we multiply both sides of the above equation by hundred to get
$\begin{align}
  & \Rightarrow 100n=0.1666\times 100 \\
 & \Rightarrow 100n=16.66 \\
\end{align}$

Hence, we have obtained the percentage form of the given fraction as $16.66\%$

Note: Do not forget to add a percentage symbol at the end of the obtained percentage value. We know that the division and the multiplication have the same priority and therefore any one of them can be applied first. Therefore, we can also multiply the given fraction by one hundred directly and then carry out the necessary division to obtain the final percentage.