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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

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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

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