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SUBTRACTION: Example 1

**Rule 19:**
- To subtract, the denominators must be equal. You
essentially following the same steps as in addition.
**1.**
- Build each fraction so that both denominators are equal.
**2.**
- Combine the numerators according to the operation of subtraction or additions.
**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 .

Combine the numerators: for the numerator in the answer.

3 - 2 = 1.

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

**Check:**
- Now prove to yourself with your calculator that your
answer is correct. Calculate 1 divided by 2, calculate 1 divided by 3, and combine the results. Now divide 1 by 6. Both answers should be the same. If you are correct, the answers are the same (equivalent) and you have successfully combine two fractions using subtraction.

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