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Adding Fractions

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.

Add and simplify
 

 

Step 1. Are the denominators the same?



The correct answer is: No

The denominators are not the same.

Is one of the denominators multiple of the other?



The correct answer is: No

The denominators are not multiple of each other.

Select the common denominator





The correct answer is:12

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 three twelfths and four twlefths

Now add the expanded fractions

=

The correct answer is seven twelfths

Can seven twelves be simplified?



The correct answer is: No

seven twelves cannot be simplified further.

 

 

Practice

Now, test your knowledge by completing these exercises.

 

Add and simplify half plust quarter

five fourths




Select the correct answer.