Question

How do you write \[\dfrac{5}{6}\] as a percent?

Answer 1

Hint:
In the given question, we have been asked to convert the given number into percent. To do that, we just need to apply the simple formula of percent. Percent is – given by whole, multiplied by 100. After calculating the result, we just add the percent sign after the answer.

Formula Used:
We are going to use the formula of percent, which is:
\[Percent = \dfrac{{Given{\rm{ Quantity}}}}{{Whole}} \times 100\]

Complete Step by Step Solution:
The given number is \[\dfrac{5}{6}\].
To convert it to percent, we simply multiply it by \[100\], and we have,
\[\dfrac{5}{6} \times 100 = \dfrac{{500}}{6} = \dfrac{{250}}{3} = 83\dfrac{1}{3}\% \]

Hence, \[\dfrac{5}{6} = 83\dfrac{1}{3}\% \]

Additional Information:
We can easily convert a given number into percent by applying the above-mentioned formula. But, if we have to do the reverse – convert the percent to number, we simply divide the percent by 100. Then, we reduce the derived number to the lowest term and that is going to give us the answer.

Note:
In this question, we had to convert fraction to percent. First, we must know what percent really means. Basically, percent means out of hundred, how much part does the given number occupy. So, to convert the given quantity to percent, we just multiply the given number by hundred. In fact, this method is the same for conversion of decimal to percent and also for the conversion of fraction to percent; just multiply the given quantity by a hundred.