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Rule 19: SUBTRACTION

**
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 the same, so you can skip step 1. The denominator of the answer will be 5.
Combine the numerators for the numerator in the answer. 3 - 1
= 2. The answer is . This answer is already reduced, so you can skip step 4.

**Check:**
- You can check the answer with your calculator.
Calculate 3 divided by 5, calculate 1 divided by 5, and subtract the second answer from the first. Now divide 2 by 5. Both answers should be the same. If you are correct, the answers are the same (equivalent) and you have successfully combined two fractions with the operation of subtraction.

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If you would like to review another example, click on the word Example.

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Work the following problems and click on Answer to check your results.

**Problem 1:**
- Calculate and reduce your
answer.
Answer

**Problem 2:**
- Calculate and reduce your
answer. Answer

**Problem 3:**
- Add the fractions and reduce your
answer. Answer

**Problem 4:**
- Add the fractions and reduce your
answer. Answer

**Problem 5:**
- Add the fractions and reduce your answer.
Answer

Back to Simple Fractions

[Identification]
[Factoring Integers]
[Reducing Fractions]
[Multiplication]
[Division]
[Building Fractions]
[Addition]
[Order of Operation]

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*Author:Nancy Marcus** *

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