simplify the expression warm-up. how do you multiply fractions?
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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
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