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Equivalent Fractions

Expand and simplify to find equivalent fractions.

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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
License: CC BY-NC 3.0


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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  1. [1]^ Credit: Vicki Nunn; Source: http://commons.wikimedia.org/wiki/File:MeasuringCups2.JPG; License: CC BY-NC 3.0

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