1. Adding and Subtracting Fractions
Chapter 6
Section 6.2

2. Objective
Students will add and subtract algebraic fractions

3. Concept
Addition Rule for Fractions a + b = a + b c c c

4. Concept
Subtraction Rule for Fractions a – b = a – b c c c

5. Concept
To add or subtract fractions with the same denominator, you add or subtract their numerators and write the result over the common denominator.

6. Reminder
Must follow rules for subtraction when there is more than one term to subtract **add the opposite of everything sign behind the subtraction sign**

7. Example
3c + 5c 16 16

8. Example
5x + 4 – 3x –

9. Example
3 + 1 x + 4 x + 4

10. Example
x – – x

11. Concept
When adding and subtracting fraction you must have a common denominator before you can combine the numerators together. The following steps will help you in adding and subtracting fractions that do not start with a common denominator.

12. Steps Find a common denominator Adjust top to match new denominator
Factor denominator completely, write integral factors as a product of primes
Adjust top to match new denominator
Add or Subtract numerators
Keep over common denominator
Reduce (put in simplest form)

13. Example
a a 4 18

14. Example
x 8x2

15. Questions

16. Assignment
Worksheet