Example 1
Do the arithmetic: 
.
Example 2
Do the arithmetic: 
.
Example 3
Do the arithmetic: 
.
Example 4
Do the arithmetic: 
.
Example 5
Do the arithmetic: 
.
Example 6
For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): 
.
.Example 7
For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): 
.
.Example 8
For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a):
.
.Example 9
For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a):
.
.Example 10
For the following pair of rational expressions, (a) find the LCD and (b) for each rational expression, write the equivalent rational expression whose denominator is the LCD from part (a): 
.
.Example 11
Do the arithmetic, simplifying each rational expression first, if possible: 
.
Example 12
Do the arithmetic, simplifying each rational expression first, if possible: 
Example 13
Do the arithmetic, simplifying each rational expression first, if possible: 
Example 14
Do the arithmetic, simplifying each rational expression first, if possible: 
Example 15
Do the arithmetic, simplifying each rational expression first, if possible: 
.
