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