#
Rule 18: ADDITION

**
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 the same, so you can skip step 1. The denominator of the answer will be 5.
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 3 divided by 5, calculate 1 divided by 5, and add the results. Now divide 4 by 5. Both answers should be the same. If you are correct, the answers are the same (equivalent) and you have successfully added two fractions.

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

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

**Problem 1:**
- Add the fractions
and reduce your answer.

Answer

**Problem 2:**
- Add the fractions
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

Menu Back to Simple
Fractions

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

S.O.S MATHematics home page
Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.

*Author:Nancy Marcus** *

Copyright © 1999-2022 MathMedics, LLC. All rights reserved.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour