1. Section 3.4 Study Materials
Addition of Fractions and Mixed Numbers
Math 081 CCBC

2. Section 3.4 Study Materials
Directions
Please have a piece of paper and pencil ready!
As you click through the slides, pause to work out the Practice Problems on your own.
Check your answer to each Practice Problem.
If you get a problem wrong or if you want to hear the explanation, watch the video linked to the slide.
At the end of the slide show, work out the answers to the Selected Textbook Exercises.
When you have completed Sections 3.4 – 3.8, take the Chapter 3 Test.

3. Adding fractions requires a common denominator.
Section 3.4 Study Materials
Adding fractions requires a common denominator.

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8. Recall Rules for Negative Fractions
Section 3.4 Study Materials
Recall Rules for Negative Fractions

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11. Section 3.4 Study Materials
Adding Mixed Numbers
Change the mixed numbers to improper fractions.
Add numerators together.
Keep the same denominator.
Reducing the fractional part to lowest terms if necessary.

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20. Least Common Denominator
Section 3.4 Study Materials
Least Common Denominator
A common denominator is a number that both of the denominators can divide into without any remainder; such a number is also known as a common multiple of the two denominators. You can always find a common multiple between two numbers by multiplying them together. However, the general practice when adding or subtracting fractions is to use the Least Common Denominator (LCD) (the Least Common Multiple (LCM) of the two denominators).

21. Least Common Denominator
Section 3.4 Study Materials
Least Common Denominator
To find the Least Common Denominator take the larger denominator and look at its multiples (multiply it by 1, by 2, by 3, and so on) until one of the answers is divisible by the other denominator with no remainder.

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28. Adding Mixed Numbers with Different Denominators
Section 3.4 Study Materials
Adding Mixed Numbers with Different Denominators
The process for adding mixed numbers is the same as before, but the fractional parts of mixed numbers will not always start with a common denominator. This means that when you go to add the fractions together, you need to find a least common denominator first and set up equivalent fractions.

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31. Recall How to Determine Perimeter
Section 3.4 Study Materials
Recall How to Determine Perimeter

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38. Practice Selected Textbook Exercises
Section 3.4 Study Materials
Practice Selected Textbook Exercises
On your own paper, work out the answers to the following problems.
Section 3.4: Problems 1, 3, 5, 15 – 17, 20 – 26
Click here to practice
Selected Textbook Exercises
Section 3.4
This is the end of the Section 3.4 material.
If you got all of the Selected Textbook Exercises for Section 3.4 correct, you are ready for Section 3.5 Study Materials found in Blackboard in Chapter 3.
If you did not get all of the Selected Textbook Exercises for Section 3.4 correct, continue studying using the additional materials on the next slide.

39. Additional Study Materials:
Section 3.4 Study Materials
Additional Study Materials:
Click here to read the Math 081Textbook for Section 3.4.
Click here to re-watch all of the videos for Section 3.4.
Click here to practice all of the Textbook Exercises for Section 3.4.
Go to Blackboard to view other resources:
Online Exercises for Section 3.4
More videos for Section 3.4
Work on Section 3.4 drill sheets found in the Math 081 file cabinet in the classroom.
Ask your professor or in-class tutor for help.