Adding Fractions

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Adding or the addition of fractions has several important rules. First of all, it is necessary that the fractions that are being added have like or same denominators. Then one simply adds the numerators and keeps the denominator the same throughout. The numerators are indicated in red and the denominators in blue. Also notice that the fraction is reduced or simplified in the last step. Visit the Equal Fractions page if you don't remember what this means or how to do it.

The example below shows how and why:

One half

What happens if one wants to add two fractions with unlike denominators. It is then necessary to change the fractions to equivalent fractions with like or same denominators. The example below shows how this looks:

One half

It is important when adding fractions to change any numbers that are improper fractions to mixed numbers.

When adding mixed numbers, and an improper fraction is part of the anwer, the whole number that is part of the conversion is added to the whole number in the mixed number.

The one and one sixth from the converted improper fraction is added to the whole number to get the final answer of three and one sixth.

Adding Fractions Videos

 Fractions Main Page Types of Fractions Equal Fractions Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions Factors