**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; therefore, the first step is to build the fractions to fractions with common denominators.
24 can be factored as follows: 24 = 4 6 = 2 2
2 3 and 36 can be factored as follows: 36 = 4
9 = 2 2 3 3.

Rewrite both fractions where the denominators are in factored form..

Multiply each fraction by the form of 1 that will yield denominators with the same set of factors. (i.e., you can find each set of factors in the denominator of the answer)

Combine the numerator: 15 - 14 = 1. The answer is .

This answer is already reduced. **Check:**- Now prove to yourself with your calculator that your answer is
correct. Calculate 5 divided by 24, 7 divided by 36, and combine the answers.. Now divide 1 by 72. 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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