1. Simplifying Fractions
Chapter 6
Section 6.1

2. Objective
Students will simplify algebraic fractions

3. Concept
To simplify a fraction, first you must factor the numerator and the denominator completely.

4. Example
3a + 6b 2 – 2y

5. Example
y2 – 16 6x2 + 7x – 3

6. Concept
Once the numerator and denominator are factored completely, you simplify top to bottom (cross off like terms).
Multiplication signs & plus and minus signs different
When the numerator and denominator of an algebraic fraction have no common factor other than 1 and -1, the fraction is said to be in simplest form.

7. Example
y3 4xy

8. 32a2bc3 20abc

9. Are (2x + 3) and (3 + 2x) the same? Are (x – 1) and (1 – x) the same?
Concept
Are (2x + 3) and (3 + 2x) the same? Are (x – 1) and (1 – x) the same?

10. Example
Simplify 3a + 6 3a + 3b

11. Example
Simplify x2 – 9 (1 + 2x)(3 + x)

12. Example
Simplify 2x2 + x – 3 2 – x – x2

13. Simplify 2x2 – 5x – 12 12x – 3x2

14. Questions

15. Assignment
Worksheet