# Basic Arithmetic : Changing a Fraction to Percent

## Example Questions

### Example Question #1 : Changing A Fraction To Percent

If  students out of a class of  are wearing blue, what percentage of the class is NOT wearing blue?

Explanation:

If  of the students are wearing blue then that means  of them are not wearing blue. Because,

Now to find the percentage we divide the number of students not wearing blue, by the total number of students in the class and then multiply by .

Thus,

### Example Question #31 : Percents And Decimals

Convert   to a percentage.

Explanation:

The correct answer is 20%. This can be obtained by first converting the fraction  to a decimal and then multiplying by 100 to get a percentage.

### Example Question #1 : Changing A Fraction To Percent

Change  to a percent.

Explanation:

To convert a fraction into a percent, we need to first change the fraction into a decimal.

Now, change the decimal into a percent by multiplying by 100 and adding a percent sign.

### Example Question #2 : Changing A Fraction To Percent

What is  as a percent?

Explanation:

To change a fraction into a percent, you need to first change the fraction into a decimal.

Dividing 12 by 13 gives the following:

Now, to change the decimal to a percent, start by multiplying the decimal by 100.

Then, just add a percent sign.

### Example Question #1 : Changing A Fraction To Percent

What is  of ?

Explanation:

Convert 1% to a fraction by dividing 100.  One percent is equivalent to:

Multiply this with two, and the answer is:

### Example Question #1 : Changing A Fraction To Percent

Convert  to a percent.