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Adding mixed fractions with like denominators

How to add mixed fractions with like denominators?

Rules for adding mixed fractions with the like denominators:

1. Add the whole numbers;
2. Add the fractions;
3. Convert the result to a mixed fraction (if necessary).

Examples of adding mixed fractions with like denominators

Example 1.

Add mixed fractions with like denominators:

21 + 11
55

1. Add the whole numbers:

2 + 1 = 3

2. Add the fractions:

1 + 1
55

We add the numerator 1 and the numerator 1:

1 + 1 = 1 + 1 = 2
5555

The answer:

21 + 11 = 32
555

Example 2.

Add mixed fractions with like denominators:

51 +22 =   
1717
5 + 2 + 1 + 2 = 
1717
7 + 1 + 2 =    
17
3      
17