Conversions are never easy. But they are very important in the calculation. While solving maths, you might have encountered many conversions. From meter to a kilometre, feet to the inch, gram to kilogram, and many more. All these conversions depend on the type of data given in the question and the answers required. The questions asked in the percentage can become a lot easier when you know the rules for converting percent to fraction. This will make the solution a lot easier.



What is Percent to Fraction?

When you convert the given percentage into fraction it is called percent to fraction. We all know that percentage means ‘out of a hundred’. So to convert the percent to fraction initially you need to change the percentage to a decimal and then from decimal, you can convert it into a fraction. This will simplify the process.
For example, suppose the percentage given is 25%. So, in decimal, this will be 0.25. Now, 0.25 can also be written as 25/100 which is equal to 1/4. The easier way to remember this is whenever a digit is given and it is followed by percentage than place the decimal at two places from the left. The reason for following this approach is that you will be able to know how many zeroes you need to put in the denominator.
For example, you need to find the fraction of 106%. You will start with the placing the decimals. This will become 1.06. So you have determined that you need to put two zeroes in the denominator. So, it will become 106/100 = 53/50. This will be your final answer. Now, we will have more complex examples.
Suppose you need to find a fraction of 0.6%. So it’s decimal will be 0.006 which is equal to 6/1000 = 3/500. Remember that here you were asked to find the fraction of a decimal number. Because of using decimals first you had the idea beforehand about the number of zeroes in the denominator.