PRACTICE WITH COMPLEX FRACTIONS
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Suggestions for this self exam:
[A] Study text section 4.4 , but then keep your book closed during this entire test
[B] Enter your answers in the boxes provided. Check them when you've finished.
[C]
Remember the general rules: a
b		  =  ac
bc		   and also   a
d		  +  b
d		  =  a + b
d
[D]
A complex fraction is a fraction whose numerator and/or denominator
contain fractions, such as in all problems below, and at the right:      		 (¼)
(¾)
Our task here is to re-write a complex fraction as a simple fraction, whose numerator and denominator both contain no fractions. We may also want to reduce the simplified fraction: that is, cancel equal factors of numerator and denominator.
[E] Practice multiplying and Dividing Simple Fractions ?
[1] Enter integers as the numerator and denominator of the simplified fraction:
 
1
4		  +  1
3
1
2		  -  1
5
 = 

 
   
[2] Enter integers as the numerator and denominator of the simplified fraction:
 
3
4		  +  2
3
3
2		  -  4
3
 = 

 
   
[3] Enter integers and variables as the numerator and denominator of the simplified fraction:
 
a - 2b
ab
1
a		  -  1
b
 = 

 
   
[4] Enter integers as the numerator and denominator of the simplified fraction:
 
6  -   2-x
x
 1 
3x		  -  1
6
 = 

 
   
[5] Enter integers as the numerator and denominator of the simplified fraction:
 
  3  
x+2		  +    4  
x-2
  4  
x+2		  -    3  
x-2
 = 

 
   
[6] Enter integers and variables as the numerator and denominator of the simplified fraction:
 
  1  
x2-1		  -    x² 
x3-1
    4    
x2+x+1		  -  4x-5
x3-1
 = 

 
Review
Factoring
Formulas ?
   
[7] Enter integers and variables as the numerator and denominator of the simplified fraction:
 
x-1 - y-1

x-1 + y-1		  = 

 
   
[8] Enter integer exponents of "x" and "y" which make the following equation true:
 
y2 - x2

x-2 - y-2		  =  x
 
 		 y
 
 		  
   
[9] Enter integers and variables as the numerator and denominator of the simplified fraction:
 
x-3 - 8

x-2 + 2x-1 + 4		  = 

 
Review
Factoring
Formulas ?
   
[10] Enter integers and variables as the numerator and denominator of the simplified fraction:
 
1 - x-1 - 6x-2

2 - 3x-1 - 9x-2		  = 

 
Review
Factoring
Formulas ?
   
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Math 141
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This page last updated
31 May 2001