Question

A=[2006-(2/3+ 3/4 + 4/5 +.....1004/1005)]:(4/3+ 5/4+ 6/5+.....+1006/1005)


A=? ( semnul / inlocuieste bara de fractie)

Answer 1

A={2006 - [(3-1)/3+ (4-1)/4 +(5-1)/5+......+(1005-1)/1005]} :(1+1/3+1+1/4+1+1/5+.....+1+1/1005)=[2006 -(1-1/3+1-1/4+1-1/5+.....+1-1/1005)] : (1x1003+1/3+1/4+1/5+.....+1/1005)= (2006-1x1003+1/3+1/4+1/5+....+1/1005)=(1003+1/3+1/4+1/5+....+1/1005) : (1003+1/3+1/4+1/5+...+1/1005) =1