anemone
				
				
			 
			
	
	
	
		
			
				
					
					
					
					
					
					
					
					
						
		
	
	
			
		
		
			
			
				
							
								 Gold Member
							
						
					
					
					
					
										
						
							 MHB
						
					
					
					
						
							 POTW Director
						
					
				
			
- 3,851
- 115
Let $$X=\frac{1}{1\cdot2}+\frac{1}{3\cdot4}+\cdots+\frac{1}{2011\cdot2012}$$ and $$Y=\frac{1}{1007\cdot2012}+\frac{1}{1008\cdot2011}+\cdots+\frac{1}{2012\cdot1007}$$.
Evaluate $$\frac{X}{Y}$$.
				
			Evaluate $$\frac{X}{Y}$$.
 
 
		 
 
		 
 
		