<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation
Our Terms of Use (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use.

6.2: Percents as Fractions

Difficulty Level: At Grade Created by: CK-12
Atoms Practice
Estimated4 minsto complete
%
Progress
Practice Percents as Fractions
Practice
Progress
Estimated4 minsto complete
%
Practice Now
Turn In

Remember Randy? Here is the gummy worm dilemma once again.

Randy loves gummy worms. In looking at a package of gummy worms, he has figured out that 45% of the gummy worms in a bag are red ones.

"Look at the red ones," he told his friend Sasha.

"I like red ones too," Sasha commented.

"Yes, but only 45% of this bag are red," Randy explained.

Do you know how many worms that is out of 100?

In the last Concept, we wrote this percent as a fraction with a denominator of 100.

45100

Now we can simplify this ratio.

This is what you will learn how to do in this Concept.

Guidance

In the last Concept you saw how you can write a percent as a ratio. Well, remember that one of the ways of writing a ratio is to write it in fraction form. Fractions can be simplified. Therefore, we can write percents as fractions and reduce them to simplest form.

To write a percent as a fraction, we write the percent as a ratio with a denominator of 100. We can then write the fraction in simplest form, if possible.

Write 80% as a fraction in simplest form.

First, write the percent as a fraction with a denominator of 100.

80100

Next, we can simplify this fraction. You can start by canceling a zero in the numerator and one in the denominator.

80100

Now we have eight-tenths to simplify.

810=45

Our final answer is that 80% can be written as the fraction 45.

Yes. Because they are both parts of a whole, we can interchange the way that we write them. A percent can be written as a fraction and a fraction can be written as a percent too.

Write 12% as a fraction in simplest form.

First, write the percent as a fraction out of 100.

12100

Next, we simplify this fraction. The greatest common factor is 4, so we divide the numerator and the denominator by 4.

12÷4100÷4=325

12% can be written as the fraction 325.

Now it's time for you to try a few on your own.

Example A

18%

Solution: 18100=950

Example B

20%

Solution:20100=15

Example C

4%

Solution:4100=125

Now you are ready to simplify. Here is the gummy worm situation once again.

Randy loves gummy worms. In looking at a package of gummy worms, he has figured out that 45% of the gummy worms in a bag are red ones.

"Look at the red ones," he told his friend Sasha.

"I like red ones too," Sasha commented.

"Yes, but only 45% of this bag are red," Randy explained.

Do you know how many worms that is out of 100?

In the last Concept, we wrote this percent as a fraction with a denominator of 100.

45100

Now we can simplify this ratio.

To do this, we divide the numerator and denominator by the greatest common factor.

The greatest common factor of 45 and 100 is 5.

920

This is our answer.

Vocabulary

Here are the vocabulary words in this Concept.

Ratio
the comparison of two quantities. Ratios can be written in fraction form, using a colon or with the word “to”.
Percent
a part of a whole out of 100. It is written using a % sign.
Proportion
two equal ratios form a proportion.

Guided Practice

Here is one for you to try on your own.

Write this percent as a fraction in simplest form.

Missing \end{align*}

Answer

First, we can write it as a fraction with a denominator of 100.

33100

There isn't a greatest common factor for 33 and 100, so this is the fraction in simplest form.

Our work is complete.

Video Review

Here is a video for review.

- This James Sousa video relates fractions, decimals and percents.

Practice

Directions: Write each percent as a fraction in simplest form.

1. 10%

2. 6%

3. 22%

4. 41%

5. 33%

6. 70%

7. 77%

8. 19%

9. 12%

10. 10%

11. 5%

12. 25%

13. 40%

14. 60%

15. 90%

Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Show More

Vocabulary

Decimal

In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).

fraction

A fraction is a part of a whole. A fraction is written mathematically as one value on top of another, separated by a fraction bar. It is also called a rational number.

Percent

Percent means out of 100. It is a quantity written with a % sign.

Image Attributions

Show Hide Details
Description
Difficulty Level:
At Grade
Grades:
Date Created:
Oct 29, 2012
Last Modified:
Sep 04, 2016
Files can only be attached to the latest version of Modality
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
MAT.ARI.740.L.1
Here