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Rename to Lower Terms with Circle Models uses circles to demonstrate how a fraction can be renamed to lower terms.

The following equivalent fractions were made from Rename to Lower Terms:

rename lower image

When the program starts, you will be shown two fractions. The fractions are equivalent, but both the numerator and denominator of the fraction on the right are in lower terms.

The example shows that the first fraction will not change in value if the numerator and denominator are divided by the same number. In the above image, both the numerator and denominator are divided by 4.

The fraction you enter will be the answer in lower terms. The multiplier will multiply terms of the fraction you enter to give the first fraction in higher terms.

Although we chose a multiplier 4 we are multiplying the chosen fraction by 4/4, a form of one.

You can input a fraction less than one and a multiplier less than 100.

With <EXPLAIN> and <SHOW INPUT> unchecked you can ask your students to complete the number sentence.

With <EXPLAIN> and <SHOW COLOR> unchecked you can ask your students to shade the circles.


Turn color and explain off and demonstrate how much of each circle should be shaded. Then write the fraction in lower terms.

Keep the fraction the same size, but increase the size of the multiplier. Observe that there are many ways to name the fraction.

Choose a fraction in lowest terms. The multiplier you choose will be the greatest common factor of the numerator and denominator.

Choose a fraction in higher terms. The multiplier will be a common factor, but not the greatest common factor.

With <EXPLAIN> and <SHOW INPUT> unchecked you have the opportunity to ask the student to write a math statement that shows the higher terms, the identity, and the lower terms from the fraction model.


You may copy the screen by pressing <Print Screen> on the keyboard. This copies the screen into Windows Clipboard™. The screen can then be pasted into Windows Paint™ or your favorite imaging program. Windows Paint™ will allow you to crop, printed or save the image.

Windows 7 users can use the Snipping Tool™ to capture any part of the screen. These images can be edited and saved in PNG, GIF(recommended) or JPEG formats.