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ADDITION: Example 1

**Rule 18:**
- To add fractions, the denominators must be equal. Complete the following steps to add two fractions.
**1.**
- Build each fraction so that both denominators are equal.
**2.**
- Add the numerators of the fractions.
**3.**
- The denominators will be the denominator of the built-up fractions.
**4.**
- Reduce the answer.

**Example:**
- Calculate .
**Answer:**
- The answer is .
**Solution:**
- The denominators are different, so you must build each fraction to a form where they both have the same denominator. Since both 2 and 3 will divide evenly into 6, build both fractions to a denominator of 6.
and .

can now be written .

Add the numerators for the numerator in the answer.

3 + 1 =
4. The answer is .

This answer is
already reduced, so you can skip step 4.

**Check:**
- You can check the answer with your calculator. Calculate 1
divided by 2, calculate 1 divided by 3, and add the results. Now divide 5 by 6. Both answers should be the same. If you are correct, the answers are the same (equivalent) and you have successfully added two fractions.

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Example.

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