Many times we have to show fractions like 14/20 as a percentage. Here we shall learn the stepwise manner in which we can find the results of the sum. The fractional value 14/20 is what we need to learn to convert to percentage here.
Basic concepts of converting 14 out of 20 as a percentage
Certain basic ideas need to be clear when you are converting a fraction to a percentage and they are as follows:
1) In a fraction there are two parts, the numerator is the digit that is present above the line of division and the denominator is the digit that is present below the line of division. Here in this sum, the number 14 is the numerator and the 20 is the denominator.
2) Now we also need to learn the meaning of percentage first before we convert the given data to percentage. The percentage is defined as anything in terms of 100 and all the calculations that we do or numerical values that we express or compare in percentage are all in terms of 100.
3) In other words, the percentage is the fraction of 100 and so if we say 50% then it means 50/100. Similarly, for 95 %, the fractional expression will be 95/100.
What is 14/20 as a Percentage? In percentage, 14/20 = 70%
Calculation to show 14/20 as a Percentage
Methods #1
Here in this fraction, 14/20 we first need to adjust the value of 20 such that it is up to 100.
To do so you need to divide 100 by 20.
100÷20= 5
Now that you have the value of 5 you need to multiply the multiple 5 with both the numerator and the denominator. In this case,
(14×5)/(20×5)= 70/100
So your final results in percentage will be 70%.
14/20 as percentage = 70%
Also read: What is 16/20 as a Percentage?
Methods #2
Step 1. First, convert the fraction 14/20 to decimals by making it divide 14 the numerator by the denominator 20 and you will find the results as 0.7.
14÷20 = 0.7
Step 2. Now you need to multiply 0.7 by 100 that is 0.7×100= 70 %
0.7×100 = 70%
14/20 as percentage = 70%
Conclusion
So here are two different ways to convert a fraction into a decimal and both procedures are easy for you to make. The results can be found by both the processes and you do not need to worry about the complexities of the sum which is simple and thus not a problem for you at all.
There is no chance of confusion among the students regarding the conversion of fractions to decimals and you can use it for any given fraction as long as you follow the steps carefully.
Also read: What is 3/5 as a Decimal?
Naomi is an educator with 2 decades of experience working with children of all ages. She is a keen observer of the magic and importance of Maths in our daily lives. Follow me on Linkedin