Adding Mixed Numbers with Common Denominators

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Example 1 Simple Mixed Number Addition

1	1		2	3		3	4
	---	+		---	=		---
	7			7			7

Add the whole numbers 1 and 2. Add the fractions 1/7 and 3/7. You add the numerators. Do not add the denominators.

The fraction 4/7 does not need to be reduced. The answer 3 and 4/7 is reduced and in lowest terms.

Example 2 Simple Mixed Number Addition with Reducing

1	1		2	3		3	4
	---	+		---	=		---
	8			8			8

Add the whole numbers 1 and 2. Add the fractions 1/8 and 3/8. You add the numerators. Do not add the denominators.

The fraction 4/8 must be reduced:

4	/	4		1
---		---	=	---
8	/	4		2

The final answer will be 3 and 1/2 after you have reduced your fraction