Question

How do we convert $ 80\% $ into a fraction?

Answer 1

Hint: To convert the given percentage number into a fraction, first we have to remove the percentage sign by dividing 80 from 100. And then divide both the numerator and denominator by their greatest common divisor. And finally we will get the fraction of the given percentage number.

Complete step-by-step answer:
First, we are going to discuss the steps to convert a percent to a fraction:
Step-1: Write down the percent divided by 100 ;
Step-2: If the percent is not a whole number, then multiply both top and bottom by 10 until we get an integer at the numerator.
Step-3: Simplify (or reduce) the fraction if it is not in the simplest form.
Now, we will solve our given percent number $ 80\% $ :
On the basis of the above steps, we will convert $ 80\% $ into a fraction as follows:-
Step-1: To remove the percentage sign, divide the number by 100 or write down the percent divided by 100 as-
$ 80\% = \dfrac{{80}}{{100}} $
Step-2: Multiply both top and bottom by 10 for every number after the decimal point or we should cancel out most of the zero’s if it is available in both numerator and denominator.
Step-3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them.
 $ GCD(80,100) = 20 $ .
S0,
 $ \dfrac{{80 \div 20}}{{100 \div 20}} = \dfrac{4}{5} $ , we got this after reducing the simplest form.
So, the correct answer is “ $ \dfrac{4}{5} $ ”.

Note: As we already know, percent means “out of a hundred”. We need to first convert a percent into a decimal and then convert the decimal to fraction. In this way, we can also convert percentage to fraction directly. But the method we used in the solution is the perfect and exact way to solve that type of question.