# 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.

### 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] [Addition] [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 © 1999-2021 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