There are three steps to adding fractions:

1. Ensure that the bottom numbers (denominators) are the same. If they are not, change them so that they are the same (they have a common denominator).
2. Once the denominators are the same, add the top numbers (nominators) and place the result over the common denominator.
3. Simplify the fraction (if possible).

#### Example 1

To get started, view this tutorial and follow the example presented.

#### Example 2

Now, let's work through the example below. The questions below will guide you through the process.

Step 1. Are the denominators the same?

The denominators are not the same.

Is one of the denominators multiple of the other?

The denominators are not multiple of each other.

Select the common denominator

12 is the common denominator and it is obtained by multipling the two denominators.

Next we need to expand both fractions to have a denominator of 12. Expand both fractions by multiplying them and click done when you are ready. Enter your results in the appropriate boxes.

 1 x = 4 x

 1 x = 3 x

The expanded fractions are and

 =

Can be simplified?

cannot be simplified further.

### Practice

Now, test your knowledge by completing these exercises.