What is 1/3 as a percentage?

How to show 1/3 as a percent? Here are the easiest ways to do so!

So we need to learn to convert the given fraction 1/3 to a percentage and thus learn the different methods by which we can achieve the results.

Two different methods are present for conversion of the fraction to percentage and here we shall learn about how to do the same. The application of percentage is useful in many cases and so you should learn about how to convert the fraction form to its percentage form.

What is 1/3 as a percent? The answer is 1/3 as a percentage is 33.3333%

Basic concepts of converting a fraction to a percentage

1) A fraction mainly consists of two parts, the numerator, and the denominator.

2) The numerator refers to the digits that are present above the line of division. The denominator on the other hand talks about all the digits that are present below the line of division.

3) When we are dividing a fraction, the numerator always becomes the dividend that gets divided in the process while the denominator becomes the divisor which is used to divide the numerator.

4) What is a percentage? A percentage is a process that is described as expressing the given number in terms of hundred. Percentage helps you to express the value of the digits and compare their greatness and smallness with a hundred. On the other hand, you can say that a percentage is expressed as a fraction of 100.

Also read: What is 13/15 as a percentage?

Calculation to show 1/3 as a percent

There are two different methods that we will learn to convert the fractional value to its percentage form.

Method #1

Step 1

You first need to change the value of the provided denominator to 100. To do so, you have to divide 100 by the denominator.

100÷3 = 33.333333333333

\[ \frac{100}{3}=33.333333333333 \]


Now you will have to multiply the numerator and the denominator with the obtained results in the first step.

(1×33.3333)÷(3×33.333) = 33.3333/100

\[ \frac{(1\times33.3333)}{(3\times33.3333)}=\frac{33.3333}{100} \]

Thus the required results in percentage are 33.333%

1/3 as a percent = 33.3333%

Method #2

Now we shall learn another equally easy method but a different way to solve the given problem and change the fraction to a percentage.

Step 1

You have to divide the numerator and the denominator where 1 is the numerator and 3 is the denominator. The numerator, in this case, becomes the dividend and the denominator 3 becomes the divisor.


1÷3= 0.33333333

Step 2

Now for the final step, you have to multiply the obtained results in decimals by 100 to yield the final result in percentage.



Thus we can see that there are two different methods in which we are learning to change the given fraction 1/3 to its percentage form which is 33.333% which we found out through calculations.

1/3 as a percent = 33.3333%

Both the methods that are described here are easy and the stepwise technique helps you to remember them well when you need to solve questions on your own.

There should be no confusion regarding the steps that are involved in changing the fraction to its percentage form. In this case, we had taken the simple example of ⅓ to find the results of our question and learn about the procedures for solving the same.

Also read: What is 12/15 as a percentage?