Back To Course

Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

Are you a student or a teacher?

Try Study.com, risk-free

As a member, you'll also get unlimited access to over 75,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-freeWhat teachers are saying about Study.com

Already registered? Login here for access

Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Jennifer Beddoe*

The process of converting percents to fractions is quite easy if you know where to start. This lesson will show you how to perform the conversion and give some real-world examples.

Picture it: you and a group of friends decide to go to the new restaurant in town for lunch. You all decide before you get there that, to make the math easier, you will just split the bill 5 ways instead of having to worry about separate checks or trying to calculate what everyone owes. When the bill comes, Ted, the math nerd of the group, says, 'The total bill is $70. Remember, we are each paying 20%.' You reach for your wallet thinking, 'It sure would be easier to calculate what I owe if I knew what fraction 20% was.'

The word **percent** means 'per 100,' so any number written as a percent really is a fraction meaning that number over 100. So 50% really is 50 per 100, or 50/100. 127% is 127 per 100, or 127/100.

Since percent is just a different way to write a fraction, converting from percent notation to fraction notation is really quite easy. Just take the percent, write it as the numerator of a fraction with 100 as the denominator, simplify the fraction and remove the percent symbol.

Let's try an example. Convert 42% to a fraction.

First we write the number 42 as the numerator of a fraction. **Numerator** means the top number of a fraction. We place the number 100 in the denominator of the same fraction. The **denominator** is the bottom number of the fraction.

Now we have a fraction 42/100, which can be reduced to 21/50. This means that 42% written as a fraction is 21/50.

Now why don't we go back and figure out what you owe for lunch. 20% written as a fraction is 20/100, which can be reduced to 10/50 and then again to 1/5. So your portion of the bill is 1/5 of $70, which is 70/5, or $14.

How about another example, this one with a twist. Convert 66.6% to a fraction.

Percents that include numbers after the decimal point have one extra step in the conversion process. You start the same way, by creating a fraction with the percent on top and 100 on bottom - in this case, 66.6/100.

Because there is a decimal in the numerator, you need to multiply it by 10 to remove that decimal. In order to keep the fraction balanced, you then need to also multiply the denominator by 10. That way, the fraction becomes 666/1000, which can be reduced to 333/500.

Converting a percent to a fraction is a simple two-step process. First, turn the number into a fraction with 100 as the denominator. Second, reduce the fraction.

After studying this video lesson's contents, you could remember how to perform the two-step conversion of fractions to percents and vice versa.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Login here for access

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
3 in chapter 2 of the course:

Back To Course

Algebra I: High School20 chapters | 168 lessons | 1 flashcard set

- Computer Science 109: Introduction to Programming
- Introduction to HTML & CSS
- Introduction to JavaScript
- Computer Science 332: Cybersecurity Policies and Management
- Introduction to SQL
- Early Civilizations & The Ancient Near East
- Fundamental Overview of World War I
- The Virginia Dynasty & Jacksonian America
- 1920's America and the Great Depression
- Building the United States After the American Revolution
- CEOE Test Cost
- PHR Exam Registration Information
- Claiming a Tax Deduction for Your Study.com Teacher Edition
- What is the PHR Exam?
- Anti-Bullying Survey Finds Teachers Lack the Support They Need
- What is the ASCP Exam?
- ASCPI vs ASCP

- Subtraction in Java: Method, Code & Examples
- Hydrogen Chloride vs. Hydrochloric Acid
- Extraction of Aluminum, Copper, Zinc & Iron
- Iroquois Culture, Traditions & Facts
- Noun Clauses Lesson Plan
- Adverb of Manner Lesson Plan
- Timeline Project Ideas for High School
- Quiz & Worksheet - Multi-Dimensional Arrays in C
- Quiz & Worksheet - What is a Diastereoisomer?
- Quiz & Worksheet - Mauryan Empire Art & Culture
- Quiz & Worksheet - What is a Convergent Sequence?
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies
- Verb Worksheets
- Free Lesson Plans

- World Conflicts Since 1900 for Teachers: Professional Development
- World History: Middle School
- Introduction to Textiles & the Textile Industry
- California Sexual Harassment Training: Employees
- DSST Introduction to World Religions: Study Guide & Test Prep
- Praxis Middle School Science: Historical Geology
- OAE Mathematics: Graphing Derivatives
- Quiz & Worksheet - Geographic Influences on Migration in Europe
- Quiz & Worksheet - South Asian Demographics
- Quiz & Worksheet - Direct Observation in Student Assessment
- Quiz & Worksheet - Animal Health Insurance
- Quiz & Worksheet - Function of the Occipital Lobe

- Socialization Through the Life Course
- Orthonormal Bases: Definition & Example
- North Carolina Common Core State Standards
- Political Spectrum Lesson Plan
- When Do You Take the PSAT?
- Poetry Books & Activities for Kindergarten
- Globalization & International Management: Assignment 1
- Average GMAT Scores & Percentiles
- Enlightenment Thinkers Lesson Plan
- Preschool Book List
- How to Go to College in Another Country
- How to Prep for the NYS Physics Regents Exam

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject