Adding fractions is usually the first concept to learn when working with fractions. Take a look at some of these examples and use the fraction calculator to help you with your understanding.

### How to Add Fractions

Example: For adding the fractions ^{1}/_{3} and ^{1}/_{5}, you must first modify the fractions so that the denominators are the same. For these two fractions, the result would be ^{5}/_{15} and ^{3}/_{15}.

5 + 3 = 8.

The sum is

^{8}/

_{15}

### 1/4 plus 1/3

Example: For adding the fractions ^{1}/_{4} and ^{1}/_{3}, you must first modify the fractions so that the denominators are the same. For these two fractions, the result would be ^{3}/_{12} and ^{4}/_{12}.

3 + 4 = 7.

The sum is

^{7}/

_{12}

### 1/3 plus 1/3

Example: For adding the fractions ^{1}/_{3} and ^{1}/_{3}, you must first modify the fractions so that the denominators are the same, which they already are. For these two fractions, the result remains as ^{1}/_{3} and ^{1}/_{3}.

1 + 1 = 2.

The sum is

^{2}/

_{3}

### 3/4 plus 1/3

Example: For adding the fractions ^{3}/_{4} and ^{1}/_{3}, you must first modify the fractions so that the denominators are the same. For these two fractions, the result would be ^{9}/_{12} and ^{4}/_{12}.

9 + 4 = 13.

The sum is

^{13}/

_{12}which is also written as 1

^{1}/

_{12}

### 3/4 plus 1/4

Example: For adding the fractions ^{3}/_{4} and ^{1}/_{4}, you must first modify the fractions so that the denominators are the same, which they already are. For these two fractions, the result remains as ^{3}/_{4} and ^{1}/_{4}.

3 + 1 = 4.

The sum is

^{4}/

_{4}, which is actually just 1.

### 2/3 plus 2/3

Example: For adding the fractions ^{2}/_{3} and ^{2}/_{3}, you must first modify the fractions so that the denominators are the same, which they already are. For these two fractions, the result remains as ^{2}/_{3} and ^{2}/_{3}.

2 + 2 = 4.

The sum is

^{4}/

_{3}which is also written as 1

^{1}/

_{3}