# Addition of like fractions

## Addition of Like Fractions with Circle Models

# ADDITION OF LIKE FRACTIONS INSTRUCTIONS

Follow the directions in the dialog box after pressing the <START> button. The <EXPLAIN> button may be pressed after you enter the second addend to see how to do the example.

The parts of an addition example are the first addend, the second addend, and the sum.

When the program starts, you will be asked to identify the first addend and then the second addend. The program will not continue unless each addend is correctly identified. You will then be asked to add each addend for the sum.

The following picture was made by Add With Circles Designer:
You can see from the picture that the first addend is 2 complete units and ^{2}⁄_{6} partial unit in length and the second addend is 1 complete unit and ^{2}⁄_{6} partial
unit in length. The sum will combine the complete units for 3 complete units and the partial units for ^{4}⁄_{6} partial units for a sum of 3 ^{4}⁄_{6} units. The sum in
the picture shows the first addend in red combined with the second addend in blue for a sum of 3 ^{4}⁄_{6}.

To calculate the Sum first add the whole numbers 2 and 1 to obtain 3 for a whole number. Then add the numerators of the fractions ^{2}⁄_{6} and ^{2}⁄_{6} to obtain the
^{4}⁄_{6} in the sum. You may enter 3 ^{4}⁄_{6} or the simplified form 3 ^{2}⁄_{3}

You may prefer to work vertically:

You may prefer to write each addend in fraction form first as in this example:

You may enter the sum in fraction form or mixed number form. In the above example ^{22}⁄_{6} or 3 ^{4}⁄_{6} are both acceptable.

For more instruction on adding fractions go to How To Add Fractions.

After you enter the sum you may press the <REPORT> button. The report will ask for your name but you may submit a code for your name. This report will give the same results as on the dialog box. The report may be printed or e-mailed.