Intermediate Algebra
Answer/Discussion to Practice Problems
Tutorial 34: Complex Fractions
Answer/Discussion
to 1a

Combining only the numerator we get: 

*Rewrite fractions with LCD of 10

Combining only the denominator we get: 

*Rewrite fractions with LCD of 6

Putting these back into the complex fraction we get: 

*Write numerator over denominator

Step 2: Divide the numerator by the denominator
by multiplying the numerator by the reciprocal of the denominator
AND
Step 3: If needed, simplify
the rational expression. 

*Rewrite div. as mult. of reciprocal
*Divide out a common factor of 2

Answer/Discussion
to 1b

Rewriting the expression with positive exponents, we get: 

*Rewrite with positive exponents

The two denominators of the numerator's fractions have the following
factors: 
The two denominators of the denominator's fractions have the
following factors: 
and 

Putting all the different factors together and using the highest exponent,
we get the following LCD for all the small fractions: 
Multiplying numerator and denominator by the LCD we get: 

*Mult. num. and den. by x squared y squared

Last revised on July 17, 2011 by Kim Seward.
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