Question

Cum calculez 1 supra 1*2+1 supra 2*3+ 1 supra3*4+ ...+1supra99*100 ????

Answer 1

[1/1-1/2]+[1/2-1/3]+[1/3-1/4]+...+[1/99-1/100]
⇒1/1-1/100
⇒100/100-1/100
⇒99/100⇒fractie ireductibila;