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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.
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Sample Problems (10)
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Multiplying and Dividing Rationals
Problem 1 6,234 viewsMultiply and simplify your answer.
3xy² ⋅ 4x³z 10y³ x³z³ 
Multiplying and Dividing Rationals
Problem 2 4,717 viewsMultiply and simplify your answer.
x + 3 (5x² + 10x) 5x² 
Multiplying and Dividing Rationals
Problem 3 4,502 viewsMultiply and simplify your answer.
m² + 5m + 6 ⋅ m² − 2m − 3 m − 3 m² + 3m + 2 
Multiplying and Dividing Rationals
Problem 4 4,146 viewsDivide and simplify your answer.
5t² + 10t − 15 ÷ 2t² + 7t + 3 5 − 6t + t² 4t² − 8t − 5 
Multiplying and Dividing Rationals
Problem 5 677 views 
Multiplying and Dividing Rationals
Problem 7 748 views 
Multiplying and Dividing Rationals
Problem 8 663 views 
Multiplying and Dividing Rationals
Problem 9 646 views 
Multiplying and Dividing Rationals
Problem 10 668 views 
Multiplying and Dividing Rationals
Problem 11 623 views
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