Along the top, choose Square or Circle.

How to Use

  • Use the sliders to increase or decrease the number of columns and rows (for Squares) or the number of sectors (for Circles).
  • Once the shape is divided as you want it, click on the sections to color them. Make the green and blue fractions equivalent to the red fraction.
  • Click on the Check buttons to see if your fractions match. (Note that all fractions must use a different denominator. You will get a message that says, "Use a different denominator," if you make an equivalent fraction that does not use a different denominator.)
  • Equivalent Fractions will automatically be added to the table.
    • To delete a row, use the Trash Can icon in the table.
    • To erase all recordings, use the Reset Table button.
  • Use the New Fraction button to generate a new red fraction.
  • The Build Your Own option can be used to create a red fraction of your choosing.

In the panel along the right side, choose the Build Your Own option.

Create a fraction whose denominator is a prime number.

  • How many equivalent fractions can you create?

Is it possible to create a fraction such that no equivalent fractions could be created with this applet?

  • Find at least one.
  • Can you describe the fractions for which this is possible?