Question

How do you write $ 116\dfrac{2}{3}\% $ as a fraction or a mixed number?

Answer 1

Hint: In order to obtain the fraction equivalent of the above mixed fraction percent number , first convert the given mixed fraction percent into improper fraction of the form $ \dfrac{p}{q} $ by using the rule $ a\dfrac{x}{y} = \dfrac{{ay + x}}{y} $ .Now to convert the percent into fraction , divide the number with the value $ 100 $ and remove the percent symbol. Simplify the equation to obtain the required solution in the form of proper fraction.

Complete step-by-step answer:
We are given a percent value $ 116\dfrac{2}{3}\% $ .
Let’s first convert the given mixed fraction percent value into an improper fraction percent number by using the rule $ a\dfrac{x}{y} = \dfrac{{ay + x}}{y} $ .
In our case we have $ a = 116,x = 2,y = 3 $
 $ 116\dfrac{2}{3}\% = \dfrac{{\left( 3 \right)\left( {116} \right) + 2}}{3}\% = \dfrac{{350}}{3}\% $
Now to convert the percent into fraction, divide the given number with the value $ 100 $ and remove the percent symbol at the end. We get
 $
  \dfrac{{350}}{3}\% = \dfrac{{\dfrac{{350}}{3}}}{{100}} \\
   = \dfrac{{350}}{{300}} \\
  $
Simplifying this further, we get
 $
   = \dfrac{{35}}{{30}} \\
   = \dfrac{5}{6} \;
  $
Therefore, the fraction equivalent of $ 116\dfrac{2}{3}\% $ is equal to $ \dfrac{5}{6} $ .
So, the correct answer is “ $ \dfrac{5}{6} $ ”.

Note: 1. Cross-cross your result at least once.
2. To calculate fraction from the percentage , divide the given percentage value by 100
For example : We have to write $ 70\% $ into fraction
 $
   = \dfrac{{70}}{{100}} \\
   = \dfrac{7}{{10}} \;
  $