All through our schooling years, we encounter fractions. Many questions involve solving a fraction as a percentage. For example, we may need to calculate 31/40 as a percentage.
Sometimes we need to express the given fraction in terms of percentage and you need to learn the steps for the way you can convert the given fraction to its percentage form.
Here we will take up the simple example: 31/40 where we will learn to convert it to its percentage form. The percentage form can be expressed through different methods and here we are going to learn about both of them.
What is 31/40 as a percent? The answer is 31/40 as a percentage is 77.5%
Basic concepts of converting a fraction to a percentage
1) As we all know that a fraction is divided into two parts, they are called the numerator and the denominator.
2) The numerator is present above the line of division and the denominators are digits that are present below the line of division.
3) Here, in this case, the numerator is 31 and the denominator is 40.
4) Hence when we are conducting division with fraction, the numerator becomes the dividend and the denominator becomes the divisor which divides the given dividend in the given process.
5) What do you mean by percentage – the process of percentage consists of expressing all the numerical values in terms of hundred. We can also say that during the process of percentage we compare the two values based on 100. In other words, the percentage is defined as a fraction of a hundred.
6) So if we write 33%, we mean 33/100, and if we say 73% we mean 73/100.
Also read: What is 24/50 as a percentage?
Calculation to express 31/40 as a Percentage
In the first step, we are going to change the denominator value to a hundred and to do so we will have to divide 100 by the denominator.
100÷40 = 2.5
In the next step, you need to use the value that was acquired in the first step to multiply with both the numerator and the denominator.
(31×2.5)÷(40×2.5) = 77.5/100
Thus, we see that the results of the change in fraction 31/40 to percentage form will be 77.5%
31/40 as a percent is 77.5%
In the first step, you will have to divide the given numerator by the denominator where 31 is the numerator that acts as the dividend now and 40 is the denominator that acts as the divisor now.
Finally, in the last step, you have to multiply the obtained results in decimals by 100 to yield the results in their percentage form.
0.775×100 = 77.5%
Hence we see that when we apply both the steps to find out the results, the answer is the same in both cases. Thus, it is clear that both the processes are valid and you can use any one of them, whichever is suitable for you to yield the results.
However, it is also important for you to understand both the methods carefully so that you can solve your sum either way if presenting, in exams.
If you practice the method every day with different fractions then you will surely be able to exercise expertise over the sums and find your answer without any trouble.
In this case,
The answer to the conversion of fraction 31/40 to percentage is 77.5%
Also read: What is 37/50 as a percentage?