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I'm tutoring elementary-level kids on equivalent fractions and am not doing a very good job of explaining it. I've tried using the example of a pizza or a pie and have shown them how they can come up with infinitely many equivalent fractions by picking a number and multiplying the top and bottom.

What are some other ways that I could explain equivalent fractions to kids so that they understand them better?

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    You might also be interested in http://area51.stackexchange.com/proposals/35226/mathematics-teacher-educators2011-11-23

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I think I would try to use examples with units the students understand, or a tangible example.

For instance, set up four piles:

  1. Two one-dollar bills.
  2. 8 quarters.
  3. 20 dimes.
  4. 200 pennies.

Ask 4 students to take 1 dollar from each pile, for example. So they each took $\frac{1}{2}$ of each pile and yet the 4 students have 1, 4, 10, and 100 objects, respectively, in their hands.

I also recommend this article, though it's not on equivalent fractions, per se.