Converting Fractions into Decimals and Percentages
So far, we have seen how easy is working with percentage problems. In this lesson, we are going to learn how to convert a fraction number whose denominator is not 100 into decimal and finally into percentages. To do this, we must keep in mind that a fraction is a representation of a part of a whole and basically a division that has not been worked out. Converting a fraction into a decimal, you have to use the denominator to divide the numerator. After you get your decimal number, converting it into a percentage is the easiest thing to do. Below are worked out examples.Example 1
Covert this fraction into decimal and then into percentage: 1/4
As discussed above your first step should be dividing your numerator with your denominator to get your fraction.
1/4 = 0.25
After you get your decimal number, you can now go ahead and convert it into a percentage. To do this, you just have to move the decimal point two steps to the right and replacing it by the percentage sign. This is equivalent to multiplying the decimal number by 100.
0.25 X 100 = 25%
Your answer should be 1/4 = 0.25 = 25%
Let us take a look at the next exampleExample 2
Convert 5/ 40 into a decimal number and then into a percentage.
As above, to get the decimal divide the top number by the bottom and then convert the resultant decimal number into a percentage by transferring the decimal point two spaces towards the right and using a percent sign.
5/40 = 0.125
Move your decimal point two spaces to the right to convert the decimal into a fraction.
0.125 = 12.5 %
Your answer therefore is as below.
5/40 = 0.125 = 12.5%
We can equally convert the percentage number into decimal number and then into a fraction. This is very simple as we have already solved such problems in our previous lessons. But we will explain a bit more.Example 3
Convert 24.5% into a decimal number and then into a fraction number.
In the back of our mind we know that a percentage is a way of presenting a fraction whose denominator is always 100.
Our first step is converting 24.5% into a decimal by shifting the decimal point two spaces towards the left and deleting the percent sign.
24.5% = 0.245
After getting your decimal number, converting it to a fraction number is much simpler. To do this, get the place value of the rightmost number, which in this case is 5.
The place value will help you get our denominator. In our decimal number above, the place value of 5 is thousandths therefore our denominator will be 1000 and the numerator will be 245.
0.245 = 245/1000
Your answer should be as below.
24.5% = 0.245 = 245/1000
It is generally easy and fun working with percentages, decimal and fractions.