The ideas in this fraction lesson are taken from the Fractions 1 ebook sold on this website. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

Adding mixed numbers
Free lesson plan from HomeschoolMath.net

See if you can figure out the following addition problems with mixed numbers: + 1 1 3 + 2 1 3 =   + 1 3 4 + 2 1 2 = Write below your explanation of how to add mixed numbers.  Discuss it with your teacher before proceeding.  If you are unsure, check the explanations in the end of the lesson.

Example problem types

1.  Write the addition sentences the pictures illustrate and add.  

a.    +	b.   +
c.   +	d.   +

2. Add the mixed numbers.

3.  Figure out what is missing from the additions.  You can "add" to the picture (draw more) to help you.  You can also draw pictures with the problems that don't have any.

a.   1 1 2 +              = 3

b.   2 2 3 +              = 3

Adding mixed numbers The natural approach is to add whole parts and fractional parts separately.      + 1 1 3 + 2 1 3 = 3 2 3 Sometimes we need to convert the fractions so they have the same denominator.   + 1 1 4 + 2 1 2 = 3 + 1 4 + 2 4 = 3 3 4 Many times the sum from the fractional parts goes over one whole so we take that into account when giving the final answer. +   = 1 1 2 + 1 2 3 = 2 + 3 6 + 4 6 = 2 7 6 = 3 1 6

Next lesson: subtracting mixed numbers

The ideas in this fraction lesson are taken from the Fractions 1 ebook sold on this website. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.

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