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Simplifying Rational Functions with Factoring and GCFs  Problem 14
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
A complex fraction, also called a double fraction, is two or more fractions stacked inside each other. To make things even uglier, here we have a sum or difference of fractions embedded in a complex fraction. You could find common denominators a few times and multiply by reciprocals, but here we look at a shortcut for "clearing" the denominators: multiply top and bottom by the least common denominator of all fractions. This is mathematically valid because you're really just multiplying by a clever form of one, but the fractions will turn into integers.
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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.
Sample Problems (15)
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Simplifying Rational Functions with Factoring and GCFs
Problem 1 6,348 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 5,857 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 5,124 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 4,790 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 829 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 804 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 759 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 804 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 686 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 760 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 868 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 687 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 745 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 790 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 735 views
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