Fraction Game

  • Fraction Game


    This applet allows students to individually practice working with relationships among fractions and ways of combining fractions. For a two person version of this applet see the Fraction Track E‑Example.

    This interactive is optimized for your desktop and tablet.



    The objective of the game is to get all of the markers to the right side of the game board, using as few cards as possible.

    How to Play

    • Click on the pile to turn over one card. This is your target fraction. Move the markers so that the sum of your moves is a fraction that is less than or equal to the target fraction.

    For example, if the first card turned over is \frac{4}{5} , you could move the fifths marker to  \frac{3}{5} and the tenths marker to \frac{2}{{10}} , because \frac{3}{5} + \frac{2}{{10}} = \frac{3}{5} + \frac{1}{5} = \frac{4}{5} . These moves are shown below.

     4148 instructional example
    • In addition, any of the following moves would also be acceptable:
      • The fifths marker to \frac{4}{5} .
      • The tenths marker to \frac{8}{{10}} , because \frac{8}{{10}} = \frac{4}{5} .
      • The thirds marker to \frac{2}{3} , because \frac{2}{3} < \frac{4}{5} .
      • The fifths marker to  \frac{1}{5} and the tenths marker to \frac{6}{{10}} , because \frac{1}{5} + \frac{6}{{10}} = \frac{1}{5} + \frac{3}{5} = \frac{4}{5} .
      • The halves marker to \frac{1}{2} , the sixths marker to \frac{1}{6} , and the eighths marker to \frac{1}{8} , because \frac{1}{2} + \frac{1}{6} + \frac{1}{8} = \frac{{12}}{{24}} + \frac{4}{{24}} + \frac{3}{{24}} = \frac{{19}}{{24}} < \frac{4}{5} .
    • There are many other moves that would also be acceptable, as long as the sum of the moves is less than or equal to 4/5.
    • When you have finished your move(s), click on the pile to get a new card.