Simplify the expressionWarm-up

241.

14

x

x

22.

15

x

x x

2

2

93.

6

x

x x

2

7

x

1

1515

x

x x x

3

2 2

3

3

3x x

x x

x

x

How do you multiply fractions?

2 3

7 5 6

35

How do you multiply fractions?

3 4

7 9 4

21

Multiply and Divide

Rational Expressions

Multiplying RationalsMultiplying Rationals

1. Protect binomials (and higher) with

parenthesis and FACTOR

2. Cancel out factors on TOP with common

factors on BOTTOM

3. Then, multiply across the top and

across the bottom

4. Simplify again, if possible

From the notes: Write the product in simplest form.

24 141.

7 5

x

x x

22

3 6

6. x

x x

25 10 93.

3 5

x x

x

2

44. (3 3)

5 4

xx

x x

Geometry LinkGeometry LinkWhat’s the area of the rectangle in

terms of x and in simplest form?

2

2

16

6

x

x x

2

3

3 4

x

x x

2

2 2

16 3

6 3 4

x x

x x x x

4

2 1

x

x x

Dividing Rational

Expressions

Dividing RationalsDividing Rationals

1. First ratio stays the same

2. Change the division sign to

multiplication

3. Flip the 2nd ratio

4. Repeat the same steps you did for

multiplication

5. Simplify again, if possible

2 35 10x9.

7 21

x

Keep, change, flip

From the notes:

3 2

24 610.

5 25

x x20

x

Keep, change, flip

Write the quotient in simplest form.

Example from the notes7 21 21 63

11. 30 20

x x

Keep, change, flip

Example from the notes22 11 18

12. 3 3 1

x x x

x x

1

3( 9)x

Keep, change, flip