## Equivalent Fractions

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. 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. Then, 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.)

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?