What is 24/30 as a percentage?

The given example here is of converting 24/30 as a percentage. Converting a fraction to a percentage is a very crucial process that you need to learn and here is a complete guide for you to convert the given fraction to a percentage. The steps are explained for you so you can learn the two different methods in which a fraction can be converted to a percentage.

What is 24/30 as a percentage? The answer is 24/30 as a percentage = 80%

Basic concepts

1) A fraction is made of two different parts. They are the numerator and the denominator.
2) A numerator of a fraction is defined as the part which lies above the line of fraction while a denominator on the other hand is present below the line of division.
3) In the given fraction 24/30, the numerator is 24 and the denominator is 30.
4) When we are initiating the process of division, the numerator becomes the dividend and the denominator is converted into the divisor.
5) What is a percentage – a percentage is described as expressing any digit or value in terms of 100. We can also define it as expressing the given value in a fraction of 100. So if we say 20% it means 20/100 and if we say 78% it means 78/100.

Calculations to show 24/30 as a percentage

Two different methods are involved in the conversion of the fraction to a percentage.

Method #1

Step 1

You need to convert the denominator of the given fraction so that it turns to 100. To do so, you have to divide 100 by the denominator 30.


    \[ \frac{100}{30}=3.333334 \]

Step 2

Now, you need to balance both the denominator and the numerator by the obtained result.


(24×3.3334)/(30×3.3334) = 80/100

    \[ \frac{(24\times3.3334)}{(30\times3.3334)}=\frac{80}{100} \]

Thus the required result is 80%.

24/30 as a percentage = 80%

Also read: What is 34/40 as a percentage?

Method #2


Here in the second method, you have to divide the numerator by the denominator. The numerator 24 becomes the dividend and 30 is the divisor.


24÷30= 0.8

Step 2

Now you need to multiply 100 with the obtained decimal value and you shall get the required value in percentage.


Thus there are two different methods of conversion of the given fraction to a percentage. In both cases, the answer was 80% and thus both the methods are valid in the conversion of the fraction to a percentage. You must practice more and then you will be able to solve the sums without any trouble.

Also read: What is 45/50 as a percentage?