2.3 Multiplying and Dividing Rational Expressions (2.6 in text)
Unit 2: Equivalent Algebraic Expressions
MCR3U1: Functions
http://www.dpcdsb.org/AMBRO
Minds On: Matching
Action: Reviewing Fractions (Teacher Led)
Perform multiplication and division with the two fractions:
Multiplication
and
Division
Action: Investigation of Multiplication and Division of Rational Expressions in Pairs
A
B
1. The person on the left will be Partner A and factor expression A above and partner B will be the person
on the right and factor expression B fully. Make sure to state restrictions and simplify each.
Partner A Factored Expression
Partner B Factored Expression
2. Partner A multiply the simplified expressions from #1 and Partner B divide them. Remember to state
restrictions and simplify.
Multiplication of Expressions
Division of Expressions
3. Partner A divide the simplified expressions from #2 and Partner B multiply them. Remember to state
restrictions and simplify.
Division of Expressions
Multiplication of Expressions
4. Using the graphing calculator check if you have the correct answer:
Press the home button
Document
and select 1: New
If it prompts you to save ‘Unsaved Document’
select No
Select 1:Add Calculator
Simply write out your expression and operations
using brackets to separate numerators and
denominators
Be sure to move the cursor to the right once it is
in the exponent.
Press enter to view a simplified expression
How to Multiply or Divide Rational Expressions
Using what you know about fractions and rational expressions come up with a set of steps to multiply or
divide rational expressions.
Example: Using the steps above simplify the following expressions. Don’t forget to state restrictions. Check
your answers with the graphing calculator.
3
2
2
2
2
A) 8x ÷ 5x
3y2 6y
B) x – x – 6 × x – 5
x2 – 2x – 15 x + 2
Consolidate: pg. 121 #(1-7)ab, 9, 10
C) x – 4x + 4 ÷ x – 5x + 6
x2 – 4
x2 + 5x + 6