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Multiplying and Dividing Rationals  Problem 9
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
The key to reducing any kind of fraction correctly is that you can cross out factors that are the same in top and bottom which means your terms need to be in multiplying form, rather than a long string of adding and subtracting (which would be a standard form polynomial.) Here, your goal is to factor everything possible, and reduce by crossing out entire factors that are the same in top and bottom. Since we're multiplying, it's even OK to cross out top and bottom factors that are not in the same fraction. Ask your teacher or check the instructions in the textbook to see if your final answer should be left in factored form or multiplied back into standard form.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
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Sample Problems (10)
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Multiplying and Dividing Rationals
Problem 1 5,895 viewsMultiply and simplify your answer.
3xy² ⋅ 4x³z 10y³ x³z³ 
Multiplying and Dividing Rationals
Problem 2 4,545 viewsMultiply and simplify your answer.
x + 3 (5x² + 10x) 5x² 
Multiplying and Dividing Rationals
Problem 3 4,326 viewsMultiply and simplify your answer.
m² + 5m + 6 ⋅ m² − 2m − 3 m − 3 m² + 3m + 2 
Multiplying and Dividing Rationals
Problem 4 3,968 viewsDivide and simplify your answer.
5t² + 10t − 15 ÷ 2t² + 7t + 3 5 − 6t + t² 4t² − 8t − 5 
Multiplying and Dividing Rationals
Problem 5 559 views 
Multiplying and Dividing Rationals
Problem 7 627 views 
Multiplying and Dividing Rationals
Problem 8 545 views 
Multiplying and Dividing Rationals
Problem 9 535 views 
Multiplying and Dividing Rationals
Problem 10 553 views 
Multiplying and Dividing Rationals
Problem 11 504 views
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