Converting A Fraction Into A Percentage

In this session we are going to convert fractions into percentages. Just like we saw how simple it was to convert percentages to fractions, it is equally an easy task converting fractions to percentages. To do this, you need to keep in mind that a percent is a way of expressing a fraction whose denominator is always one hundred.

Let's look at a few examples

Example 1

Convert the following fraction into a percentage

9/10

When converting such a fraction you have to divide the numerator by the denominator first. This can also mean that you are converting your fraction into a fraction number. In this case 9/10 while converted into a decimal number will be 0.90.

When converting a percentage into a decimal number in our previous topic, we replaced the percentage sign with a decimal point and then moved the decimal point two steps towards the left. In this case, we are converting a decimal number to a percentage and what we do is replace the decimal point with a percentage sign and move it two steps to the right.

9/10 = 0.90
0.90 = 90%

Therefore 9/10 as a percentage is 90%.

The reason as to why we are moving the decimal two spaces to the right is because when converting a decimal number to a percentage, we are actually multiplying that number by 100 keeping in mind that a percent means part of a hundred.



Let's take another example.

Example 2

Convert 4/20 into a percentage.
As seen above, the first step is to divide the numerator by the denominator in order to convert it to decimal number.

4รท 20 = 0. 2

The next step is to convert you decimal number into a percentage by replacing the decimal point by a percentage sign and moving it two steps to the right.

4/20 = 0.2
0.2 = 20%

Therefore 4/20 as a percentage is 20%.



Example 3

Convert 90/100 into a percentage:


First let us convert the fraction in to a decimal number. Remember that, if your fraction has its denominator as 10, 100 or 1000, you use the denominator to know how many decimal points you will need. In this case our denominator is 100 meaning that we need two decimal places. Write down the numerator then from the last digit count two steps and place your decimal point there. You then need to add a zero before the decimal point to make your decimal number mathematically correct. You should get the decimal number as below.

90/100 = 0.9

Now convert the decimal to a percentage. Replace the decimal number with a percentage sign and move it two spaces to the left. In this case you will need to add a zero after the 9. Your answer should therefore be as below.

90/100 = 0.9 = 90%

90/100 = 90%

By now you should have noted the close relationship between decimal numbers, fractions and percentage and how easy it is to convert one to the other.


Resource

Browse Common Decimals
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Browse Common Fractions
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