Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Fractions » Equivalent Fractions

# Equivalent Fractions

## Fractions

## Why are Fractions used to represent numbers that are part of a whole?

## Fractions that are Equivalent

## Writing Equivalent Fractions

## Equal Fractions Property

## Example 1

# Like This Page?

## More Fractions Lessons That You Might Like

At the end of this lesson, you will be able to identify equivalent fractions (or equal fractions). Before we begin, let's first do a quick review of the vocabulary associated with fractions.

A fraction indicates a number that is less than a whole. Fractions are easier to understand by looking at a graphic. Take a look....

Now let's take a look at *fractions that are equivalent*. **Equivalent** means "equal". Therefore, equivalent fractions are fractions that are equal in value. Take a look at the following picture which shows three different fractions, that are all worth exactly the same amount.

Let's pretend these are one of those large Hershey bars.

As you can see from the picture above, if you eat 1/2 of the hershey bar, you will eat the same amount if you eat 2/4 of the hershey bar. You can also eat 4/8 and you would have eaten the same amount.

These 3 fractions are equal or equivalent.

Now that you know what equal fractions look like, let's explore how we can write fractions that are equivalent. We'll first take a look at the fractions we used with our Hershey Bar example above.

This leads us into the Equal Fractions Property

If the numerator and denominator of a fraction are multiplied (or divided) by the same nonzero number, then the resulting fraction is equivalent to the original fraction.

Let's put this property into action! Take a look at example 1.

Not too bad, is it? Yes, I know fractions are intimidating, but think about what you are doing and why it makes sense.

In this lesson, in order to identify fractions that are equivalent, you must multiply the numerator and denominator by the same number. Why the same number? When you multiply the numerator and denominator by the same number, you are actually multiplying by 1.

Think about it: 2/2 = 1 and 5/5 = 1 and 20/20 = 1

When you multiply by 1, you get "the same answer". This is the reason why we are able to identify equivalent or equal fractions.

With this quick refresher, you are now able to move onto the next lesson which is on simplifying fractions.

- What is a factor?
- Identifying Prime and Composite Numbers
- Identifying the Greatest Common Factor (GCF)
- Using Prime Factorization (Factor Trees)
- Least Common Multiple (LCM)
- Comparing Fractions
- Adding Fractions with Like Denominators
- Subtracting Fractions with Like Denominators
- Adding Fractions with Unlike Denominators
- Subtracting Fractions with Unlike Denominators
- How to Multiply Fractions

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

Most Popular Pages

*"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.*

*It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"*

Jimmy - United States

*"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"*

Tom - United States

*"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"*

Elizabeth - United States

*"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."*

Noel - South Africa

*This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.*

Reg - United States

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam

? ## Subscribe To This Site

Then why not use the button below, to add us to your favorite bookmarking service?

Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!