Percents can be written as ratios. One of the ways of writing a ratio is to write it in fraction form with 100 as the denominator. However, some fractions can be simplified. Therefore, you can write percents as fractions and reduce them to simplest form.
As fractions and percents are both parts of a whole, you can interchange the way that you write them. A percent can be written as a fraction and a fraction can be written as a percent too.
To write a percent as a fraction, you write the percent as a ratio with a denominator of 100. You can then write the fraction in simplest form, if possible.
Let’s look at an example.
Write 80 % as a fraction in simplest form.
First, write the percent as a fraction with a denominator of 100.
Next, simplify this fraction. You can start by canceling a zero in the numerator and one in the denominator.
Now you have eight-tenths to simplify. Notice that both 8 and 10 are divisible by 2.
Then check to see if your answer can be reduced further. In this case it cannot.
The answer is that 80% can be written as the fraction 45 in simplest form.
Let’s look at another example.
Write 12% as a fraction in simplest form.
First, write the percent as a fraction out of 100.
Next, you simplify this fraction. The greatest common factor of 12 and 100 is 4, so you divide both the numerator and the denominator by 4.
Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
The answer is 12% can be written as the fraction 325 in simplest form.
Write this percent as a fraction in simplest form.
First, you can write it as a fraction with a denominator of 100.