#
SUBTRACTION: Problem 2

**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.

**Problem 2:**
Calculate and reduce your answer.
**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 5 divides into 15 evenly, you only have to build the fraction to an equivalent fraction with a denominator of 15.
.

can now be written .

Combine the numerators for the numerator in the answer: 4
- 9 = -5.

The answer is .

This fraction now needs to be reduced.

**Check:**
Now prove to yourself with your calculator that your answer is
correct. Calculate 4 divided by 15, calculate 3 divided by 5, and combine the results. Now divide -1 by 3. 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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*Author:Nancy Marcus** *

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