
Dividing Rational Expressions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Nakeyta Coleman
Used 18+ times
FREE Resource
10 Slides • 7 Questions
1
Dividing Rational Expressions

Similar to multiplying rational expressions with one extra step in the beginning
Can't divide by fractions so we have to flip it. (Keep Change Flip)
Then we follow the steps to multiply rational expressions!
2
Dividing Rational Expressions
Just like multiplying rational expressions with one extra step
Always flip the rational expression that you are dividing by (second fraction or fraction in the denominator)
3
Dividing Rational Expressions
Step 1: Change the division to multiply by the reciprocal. (Flip the fraction)
Step 2: Simplify by factoring.
Step 3: Cross out common factors.
4
5
6
7
Steps/Strategy:
Same Change Flip
Factor Everything
Simplify
Reduce Monomials
Cancel Common Binomial Factors
The final answer is whatever is left in the numerator and denominator written as a single fraction
Dividing rational expressions.
8
EXAMPLE NO. 1
Step 1: Copy, Change and Flip
Step 2: Factor the numerator and denominator
Step 3: Cancel Common factors
Step 4: Multiply the remaining factors
9
EXAMPLE NO. 2
Step 1: Copy, Change and Flip
Step 2: Factor the numerator and denominator
Step 3: Cancel Common factors
Step 4: Multiply the remaining factors
10
11
Multiple Choice
Divide the following expressions.
2x2y 4
2x49y8
y 42x2
Can't be simplified
12
Multiple Choice
Divide the following expressions.
(x+5)4(x−4)
16(x+5)(x+4)2(x−4)
Can't be simplified
4(x−4) (x+5)
13
Multiple Choice
Simplify completely.
n2−4n−5n−5÷6n1
n+28
8n−4
(n+10)(n−7)
n+16n
14
Multiple Choice
Simplify completely.
a−41÷5a2−20aa−6
a+32a(a+7)
a−65a
a−7
a+3a+7
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Multiple Choice
Simplify completely.
88x+24÷3x+3
9x(x+6)(x−5)
3
23
x+83
16
Multiple Choice
Divide the rational expression and state the excluded values.
61, x=−10, −8, 8
6x+60x+10, x=−8, 8
6x+60x+8, x=−8, 8
x−8x+8, x=−10, −8
17
Multiple Choice
Divide the following expressions.
(x+5)4(x−4)
16(x+5)(x+4)2(x−4)
Can't be simplified
4(x−4) (x+5)
Dividing Rational Expressions

Similar to multiplying rational expressions with one extra step in the beginning
Can't divide by fractions so we have to flip it. (Keep Change Flip)
Then we follow the steps to multiply rational expressions!
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