Equivalent Fractions

  • Equivalent Fractions

    Grade: 3rd to 5th

    Create equivalent fractions by dividing and shading squares or circles, and match each fraction to its location on the number line. 




    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?

    Objectives and Standards

    NCTM Standards and Expectations
    • Number and Operations
    • 3-5
    • Number and Operations