In the last Concept, you saw how Casey could convert percents to decimals. We are going to use the same situation in this Concept. Take a look.

Casey has moved from milk to organic vegetables. She has heard of a CSA - community supported agriculture and is wondering how many people actually belong to a CSA. She surveyed the 90 students in her class and found that 30% of the students belong to a CSA. That means that 70% don't belong to one.

If Casey wanted to write these percents as fractions how could she do it? Do you know?

**Yes, this Concept is all about converting percents to fractions. By the end of this Concept, you will know how to complete this task.**

### Guidance

A percent is also related to a ** fraction** because they are both parts of a whole. Just like we could write percents as decimals, we can also write percents as fractions.

**How do we write a percent as a fraction?**

To write a percent as a fraction, we have to think of it as “out of 100” once again. A fraction is a ratio comparing certain quantities. Six out of 10 would be written as six-tenths. The ten becomes our denominator.

**We can use this information to write a percent as a fraction.**

Write as a fraction.

**44% means 44 out of 100. 44 becomes the numerator and 100 becomes the denominator.**

**Our answer is .**

**What about when we have a percent that doesn’t have two places, like 7%?**

To convert </math>7%</math> to a fraction, you simply write it over 100. Because 7 percent means 7 out of 100.

Practice writing percents as fractions.

#### Example A

**Solution: **

#### Example B

**Solution: **

#### Example C

**Solution: **

Now back to Casey. Here is the original problem once again.

Casey has moved from milk to organic vegetables. She has heard of a CSA - community supported agriculture and is wondering how many people actually belong to a CSA. She surveyed the 90 students in her class and found that 30% of the students belong to a CSA. That means that 70% don't belong to one.

If Casey wanted to write these percents as fractions how could she do it? Do you know?

To convert the percent to a fraction, we need to use a denominator of 100 instead of a percent sign.

We can also simplify these fractions.

**This completes our work.**

### Vocabulary

Here are the vocabulary words in this Concept.

- Percent
- means out of 100, it is a quantity written with a % sign, and is a part of a whole (100)

- Fraction
- a part of a whole, related to decimals and percents.

- Decimal
- a part of a whole shown by a decimal point, hundredths means two decimal places.

### Guided Practice

Here is one for you to try on your own.

Write the following percent as a fraction.

**Answer**

We know that the % sign means "out of 100" therefore, 100 is our denominator.

95 is the part out of 100, so that is our numerator.

**Our answer is .**

### Video Review

Here are videos for review.

Khan Academy, Percent and Decimals

James Sousa, Introduction to Percent

### Practice

Directions: Write each percent as a fraction.

1. 54%

2. 11%

3. 6%

4. 12%

5. 89%

6. 83%

7. 19%

8. 4%

9. 9%

10. 18%

11. 89%

12. 100%

13. 23%

14. 77%

15. 98%

16. 2%