Shane’s favorite store is having a blowout sale. The sign says everything is 60% off. He finds a jacket that was originally $150. What fraction of the price will he need to pay if he wants to buy it? How much is the jacket?

In this concept, you will learn how to convert percents as fractions.

### Writing Percents as Fractions

Percents and fractions are parts of a whole. A percentage is a quantity out of 100. A fraction can also represent a quantity out of 100.

Compare 44% and

.44% is 44 out of 100. The faction ratios compare the number 44 to 100.

also is the ratio of 44 out of 100. BothA percent can be converted to a fraction by writing the number over 100. The number is placed in the numerator and 100 is the denominator.

Let’s look at 7%. 7 percent is the ratio of 7 out of 100.

First, remember that a percent is written as a quantity over 100.

Then, write 7 in the numerator and 100 in the denominator.

7% is written as

.### Examples

#### Example 1

Earlier, you were given a problem about Shane at the blowout sale.

He wants a $150 jacket that is 60% off. To find the fraction of the price he needs to pay, he has to first fine the percentage he needs to pay and convert it to a fraction.

First, find the percentage that he needs to pay. Subtract 60% from 100%.

Then, convert 40% to a fraction. 40% is the same as 40 out of 100. The numerator is 40 and the denominator is 100.

If Shane wants to buy the jacket, he will need to pay

of the original price. To find the sale price, multiply the original price by the fraction .

But first, look at the fraction ratios have the same value.

. It can be simplified by dividing the numerator and denominator by 20 to find an equivalent ratio that is easier to multiply. Remember, equivalent

Now, find the sale price. Multiply the original price by

.

The sale price of the jacket is $60.

#### Example 2

Write 95% as a fraction.

First, think of 95% as “95 out of 100.” 95 is the part out of 100.

Then, write 95 as the numerator over the denominator 100.

95% is written as

.Write the following percents as a fraction.

#### Example 3

Write 68% as a fraction.

First, think of 68% as “68 out of 100.” 68 is the part out of 100.

Then, write 68 as the numerator over the denominator 100.

68% is written as

.#### Example 4

Write 13% as a fraction.

First, think of 13% as “13 out of 100.” 13 is the part out of 100.

Then, write 13 as the numerator over the denominator 100.

13% is written as

.#### Example 5

Write 21% as a fraction.

First, think of 21% as “21 out of 100.” 21 is the part out of 100.

Then, write 21 as the numerator over the denominator 100.

21% is written as

.### Review

Write the following percents as a fraction.

- 54%
- 11%
- 6%
- 12%
- 89%
- 83%
- 19%
- 4%
- 9%
- 18%
- 89%
- 100%
- 23%
- 77%
- 98%
- 2%

### Review (Answers)

To see the Review answers, open this PDF file and look for section 8.12.