# Addition of like fractions

## Addition of Like Fractions with Number Line 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 Addition With Lines Designer:

You can see from the picture that the first addend is 2 complete units and ^{2}⁄_{11} partial units in length and the second addend is 1 complete unit and ^{2}⁄
_{11} partial units in length. The sum will combine the complete units for 3 complete units and the partial units for ^{4}⁄_{11} partial units for a sum of 3 ^{4}⁄
_{11} units.

In many examples, the sum may be found by visually combining the two addends. In the picture you can see that you have two complete units in the first addend and one complete units in the second addend for three complete units.

To calculate the sum first add the whole numbers 2 and 1 to obtain 3 for a whole number. Since the denominators of the fractions ^{2}⁄_{11} and ^{2}⁄_{11} are the same you
can add the numerators of the to obtain the ^{4}⁄_{11} in the sum. Fractions with the same denominators are like fractions.

You may prefer to work vertically:

or you may prefer to write each addend in fraction form first:

You may enter the sum in fraction form or mixed number form. In the above example ^{37}⁄_{11} or 3 ^{4}⁄_{11} 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.