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Finding Equivalent Fractions

Finding Equivalent Fractions

Author: Bryce Gilham

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

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The purpose of the this site is to provide supplemental assistance for students of Mr. Gilham's fifth grade class.

In this tutorial you will find several different resources to assist in our search for  understanding of equivalent fractions.  Use any and all resources to answer the questions in the adjoining quiz.  
Below you will see a copy of the chart we made in class.

This video provides some additional information on fractions.

Source: Allen-Stokes, T. (2011, March 29). Equivalent Fractions. Retrieved February 26, 2016, from

The Fraction Butterfly

This is a different way than we discussed in class to find equivalent fractions.


Source: LeFave. (n.d.). Fraction Butterfly Mini Anchor Chart. Retrieved February 26, 2016, from

The big question (question 4)

The city of Modesto has approached our class to design a park. We know that it has to have a soccer field that takes up 3/8 of the land. They also require basketball courts that will take up 1/4 of the land. Lastly, they require a bathroom building to be 1/16 of the land. How much land will be left to allocate for a play structure?

On a separate sheet of paper, show all work and draw (and or fold) the plot of land into the given areas. 

All work will be due Monday at the start of class.