### Adding Fractions With Different Denominators

• 1

First, check the denominators of the fractions (bottom numbers). if they are not the same numbers, we should make them match.

Example:
 2 6
+
 6 12
Multiply each numerator and denominator by the opposite denominator to make the denominator the same.
=
 2 x 12 6 x 12
+
 6 x 6 12 x 6
=
 24 72
+
 36 72
• 2

We have fractions with identical denominators, so add the numerators together to get the numerator result, and the denominator remains the same.

 24 72
+
 36 72
=
 24 + 36 72
=
 60 72
• 3

Simplify the fraction if necessary by dividing each number of the fraction (numerator and denominator) by the greatest common factor (GCF) of numerator and denominator.

Greatest common factor in this fraction is 12

 60 72
=
 60 ÷ 12 72 ÷ 12
=
 5 6

### Adding Fractions With Common Denominators

• 1

Adding fractions with identical denominators, by adding the numerators together to get the numerator result, and the denominator remains the same.

 2 6
+
 1 6
=
 2 + 1 6
=
 3 6
• 2

Simplify the fraction if necessary by dividing each number of the fraction (numerator and denominator) by the greatest common factor (GCF) of numerator and denominator.