
Adding and Subtracting Rational Expressions LESSON
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Denise Wright
Used 7+ times
FREE Resource
9 Slides • 13 Questions
1
Let's check in from Multiplying and Dividing Rational Expressions
2
Open Ended
Based on yesterday's lesson...what should happen next?
3
Adding Rational Expressions
​

4
Refresher: Adding and Subtracting Fractions
Must have common denominators.
Common denominators are found by determining the LEAST COMMON MULTIPLE between the denominators
In adding them, only add the numerators.
In subtracting them, subtract the numerators
Simplify!
5
Multiple Select
Check off ALL that are vital to add or subtract fractions?
Add/Subtract denominators
Add/Subtract numerators
Find a common denominator using the Least Common Multiple
Find a common denominator using the Greatest Common Multiple
6
Adding Rational Expressions an Example
Watch the video and take note of how the problem is solved.
7
Poll
When we add or subtract and rational expression we need...
common denominators
LCM between denominators
to combine only the numerators
simplify
8
Multiple Choice
Based on the video, what's the easiest way to find common denominators?
multiply the two denominators
multiply the two numerators
9
Multiple Choice
Based on the video, whatever you multiply the denominator of each rational expression by you multiplied...
the opposite by
the numerator by
10
Multiple Select
Based on the video, Sal should have had...in the numerator.
Correct answer is 8x^3
8x^2
8x^3
8x^4
11
Open Ended
What do you need to have or do in order to add or subtract rational expressions?
12
What process do we need to take to add or subtract rational expressions? Let's see!
We need a common denominator (the LCM between the two)
We need to make sure that WHATEVER we multiplied the denominator by we MUST multiply the numerator by.
We ONLY add or subtract the numerators once we have common denominators
13
Fill in the Blanks
Type answer...
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Multiple Choice
The denomiator should be the... between the two denominatrs.
Least Common Numerator
Least Common Answer
Least Common Multiple
Least Common Path
15
Let's look at a worked example.
16
Multiple Choice
What is happening in this step?
Combining like terms/Simplifying if we can.
Writing both expressions from the numerators in the same numerator.
Multiplying each numerator by the corresponding denominator.
Finding the Common Denominator by determine the least common multiple.
17
Multiple Choice
What's happening in this step?
Finding the Common Denominator by determine the least common multiple.
Each numerator has been multiplied by the corresponding denominator.
Combining like terms/Simplifying if we can.
Distributing the negative, so we can combine like terms.
18
Multiple Choice
What should have happened JUST before in this step?
Writing both expressions from the numerators in the same numerator.
Finding the Common Denominator by determine the least common multiple.
Distributing the negative, so we can combine like terms.
Distributing the negative, so we can combine like terms.
19
Now you try one!
20
Practice Problem
Add the given rational expressions/
Write the problem in your notes and try to work it out.
21
Practice Problem
Here's the solution! How did you do?
22
Poll
Based on what I've seen I now know about....a little bit better.
Common Denominators
Distributing the Negative
Only Combining the Numerators
I already knew this! I'm a champ!
Let's check in from Multiplying and Dividing Rational Expressions
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