### How to Add Fractions With Different Denominators

• 1

We should make the denominators (the bottom numbers) the same in the two fractions

Example:
 4 8
+
 2 12
In order to make the two fractions be the same denominator, multiply the numerator and the denominator (top and bottom number) of the first fraction by the denominator (bottom number) of the second fraction.
And the same for the second fraction, multiply the numbers (above and below) by the denominator of the first fraction
=
 4 x 12 8 x 12
+
 2 x 8 12 x 8
=
 48 96
+
 16 96
• 2

When the denominators are identical, we can then add the numerators (top numbers of the fractions) to get the result.

 48 96
+
 16 96
=
 48 + 16 96
=
 64 96
• 3

Simplify the fraction if necessary by obtaining the greatest common factor (GCF) of the fraction.
The greatest common factor in this fraction is 32

 64 96
=
 64 ÷ 32 96 ÷ 32
=
 2 3

### How to Add Fractions With Common Denominators

• 1

Adding fractions with common denominators, we only need to add the numerators, and the denominator remains the same.

 4 8
+
 2 8
=
 4 + 2 8
=
 6 8
• 2

Simplify the fraction if necessary by obtaining the greatest common factor (GCF) of the fraction.
The greatest common factor in this fraction is 2

 6 8
=
 6 ÷ 2 8 ÷ 2
=
 3 4

#### 📌 Negative signs in fractions

Positive Fractions

 -1 -2
=
-
 1 -2
=
-
 -1 2
=
 1 2

Negative Fractions

 -1 2
=
 1 -2
=
-
 -1 -2
=
-
 1 2