The following image was made by Add with Circles Designer:

This program is similar to the previous program ADD UNLIKE FRACTIONS except that the addends may be mixed numbers and the sum must be written as a mixed number and in lowest terms.

See the program MIXED NUMBERS for information on writing fractions in mixed form.

See the program RENAME TO LOWEST TERMS for information on writing fractions in lowest terms.

The above illustration shows that the addends are written with a common denominator 12. The numerators 10 and 9 are then added for a numerator of 19 in the sum. The sum 2 19/12 can be simplified to 1 4/12 in mixed form. The 1 in 1 7/12 is added to 2 for a simplified sum of 3 7/12 The sum must be entered in in lowest terms. So in the above example, only 3 7/12 is acceptable.

You may prefer to work vertically:

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

In many examples, the sum may be found by visually combining the two addends.

In the above example, the sum (3 7/12) must be entered as a mixed number and in lowest terms.