Fraction Boards Made From Rods

Different fractions may require different columns, so the best way is to prepare separate "rods" (one column boards), and assemble them together into different many-column boards that are needed for different tasks.


Examples of fraction rods:




Examples of (extended down) whole number rods that may also be useful:




Notice that all these rods contain only geometric progressions with factor two. So they can be extended up and down when needed.




Example of a Task

Consider the following board:





  1. Can you represent 1/15 on it? (Hint: Try to use only 2 white counters.)
    Answer: 1/24 + 1/40
  2. Can you list all proper fractions that can be represented on this board? You may use both white and red counters

Webpage Maintained by Owen Ramsey
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