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# Equivalent Fractions

## Expand and simplify to find equivalent fractions.

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Practice Equivalent Fractions

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Equate This!

### Equivalent Fractions

Recall: Equivalent fractions are fractions that are equal to each other when reduced to simplest form. To get an equivalent fraction, multiply or divide both the numerator and denominator by a common number.

Credit: Vicki Nunn
Source: http://commons.wikimedia.org/wiki/File:MeasuringCups2.JPG

[Figure1]

Let’s say you want to make dinner for your family. The recipe that you would like to make calls for 2 cup of flour,  1 cup of chicken, ½ cup of water, and ⅛ cup of salt. The only problem is that you only have a ⅛ cup sized measuring cup! How are you going to measure 2 cups of flour, 1 cup of chicken, and ½ cup of water?! With equivalent fractions! ½ cup of water is equivalent to 4/8 cups of water, 1 cup of chicken is equal to 8/8 cups of chicken, and 2 cups of flour is equal to 16/8 cups of flour! While you may not have all the proper measuring tools, you can convert the recipe to the tools that you do have!

### Creative Applications

1. What are some fractions equivalent to ⅜?

2. Would multiplying just the numerator by a number other than 1 result in an equivalent fraction? If not, what would be the effect?

3. Would multiplying just the denominator by a number other than 1 result in an equivalent fraction? If not, what would be the effect?

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