Comparing Fractions

Using this manipulative you may:

Find common denominators

  1. Use the up and down arrow buttons below each object to change the number of parts it is divided into.
  2. The number of parts that the object is divided into is the denominator. When there are no black lines in the middle of the object (only yellow lines), the new denominator divides the original fraction with no remainder.

  3. Change the number of parts that each object is divided into until they are the equal and so that there are no black lines in the objects.
  4. For example, with 2/3 and 3/5 you might separate the 2/3 and 3/5 objects into 15 parts. 15 is the common denominator.

Rename fractions with common denominators

  1. After you have identified a common denominator, click in the boxes to the right of the equals signs ( = ) and use the keyboard to enter the equivalent fractions.
  2. For example, if the original fractions are 2/3 and 3/5 you could substitute 2/3 with 10/15 and 3/5 with 9/15.

  3. Click the Check button.
  4. If you are correct, a number line will be displayed. If you are incorrect, a message will be displayed telling you where you made an error.

Locate equivalent fractions on a number line

After you identify equivalent fractions, a number line will appear.

  1. Click on number line points that represent your equivalent fractions.
  2. Using the example given above, you would click on the number line at 10/15 and 9/15.

    If you are correct, a dot will be displayed on the number line where you clicked. If you are incorrect, you will get a hint.

Investigate In-between Fractions

When you have identified equivalent fractions on the number line, you are asked to enter a fraction that is between the two fractions you marked.

  1. If needed, use the up and down arrow buttons to the right of the number line to change the number of divisions on the number line.
  2. Enter the fraction in the boxes above.
  3. Click the Check button.
  4. You may continue finding and checking fractions between the two you marked on the number line.
  5. Click the New Fractions button below the workspace to begin a new problem.