Question

How do you convert $ \dfrac{1}{{10}} $ to a percent?

Answer 1

Hint: In order to convert $ \dfrac{1}{{10}} $ into percent, compare $ \dfrac{1}{{10}} $ with $ \dfrac{x}{{100}} $ and find the value of $ x $ by moving $ 100 $ from right to left side which can be done by multiplying both the sides by $ 100 $ , where $ x $ is the percentage obtained for $ \dfrac{1}{{10}} $ .

Complete step by step solution:
We are given a fraction $ \dfrac{1}{{10}} $ .
Since, we know that a percent is a value out of $ 100 $ . So, let that percent be $ x $ in this question and it’s becomes:
 $ \dfrac{x}{{100}} $
For finding $ \dfrac{1}{{10}} $ as a percent comparing it with $ \dfrac{x}{{100}} $ , and we get:
 $ \dfrac{1}{{10}} = \dfrac{x}{{100}} $
To get the value of $ x $ , multiply both the sides by $ 100 $ and we get:
 $
  \dfrac{1}{{10}} \times 100 = \dfrac{x}{{100}} \times 100 \\
  10 = x \;
  $
Therefore, $ \dfrac{1}{{10}} $ can be written as $ 10\% $ or $ 10 $ percent.
So, the correct answer is “ $ 10\% $ ”.

Note: Since, we know that $ 1 $ percent is a value out of $ 100 $ , So one method of changing the fraction to a decimal is to find an equivalent fraction with 100 as the denominator.
To solve through this method, multiply and divide the fraction $ \dfrac{1}{{10}} $ by $ 10 $ , so that we get $ 100 $ as our denominator.
 $
  \dfrac{1}{{10}} \times \dfrac{{10}}{{10}} \\
   = \dfrac{{10}}{{100}} \;
  $
Since, we have got $ 10 $ out of $ 100 $ . So, we can write it as $ 10 $ percent of $ 10\% $ .