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.

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    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
    • 3-5
    • Number and Operations