CLASS-6
CONVERTING PERCENTAGE INTO FRACTION

CONVERTING PERCENTAGE INTO FRACTION -

Converting a percentage into a fraction involves expressing the percentage as a fraction with a denominator of 100. Here's how you can do it:-

  1. Write the Percentage as a Fraction:- Let's say you have a percentage, such as 25%.
  2. Express as a Fraction:- To convert 25% to a fraction, you write it as 25/100​.
  3. Simplify the Fraction:- You can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 25 and 100 is 25.     

       25            25 ÷ 25           1

   --------- = ------------ = -------

      100           100 ÷ 25          4

So, 25% is equivalent to 1/4​ as a fraction.    (Ans.)


Let's take another example:-

Example.2) If you have 60% and you want to convert it to a fraction:-

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 20:

     60            60 ÷ 20           3

 --------- = ------------ = -------

    100          100  ÷ 20          5


So, 60% is equivalent to 3/5​ as a fraction.   (Ans.)

In general, to convert a percentage p% to a fraction:

      p​

 ---------

    100

And then simplify the fraction if possible. This fraction represents the ratio of the given percentage to the whole (which is 100 in terms of percentages).