Unit 7  Objective 5  Solving Fractional Equations
An equation in which one or more terms is a fraction is
called a fractional equation or rational equation. We multiply the equation (every term, both sides) by the least common
denominator (nonzero quantity) to clear the denominator.
Examples:
1. 

x 
= 
4(2x  3) 
(now we want to solve
for x) 
x 
= 
8x 
 
12 
(got the x on one side) 
8x 
= 
8x 




7x 
= 
12 


(now divide) 
x 
= 
12/7 
= 
12/7 
(You need to make sure
this number does not give you a zero in the denominator of you original equation, which it
does not) 


2. 
(If
you plug this into your denominator in your original fraction you will get a zero because 1  1 = 0. So
there is NO solution to this problem.) 

3. 
(If
you plug this into the denominator in your original equation you do not get zero so 17/2
is the answer.) 

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