Recent content by maquina

if u consider a/b<c/d u can do a/b - (a+c)/(b+d)}=(ad-bc)/(b(b+d))>0 and c/d - (a+c)/(b+d)}=(bc-ad)/(b(b+d))>0 and done but them using samething for generalizing i couldn't make it :(

to correct, it`s a ordered field

Homework Statement a,b,c,d in a ordered set K and b and d>0 Show that \frac{a+c}{b+d} stay between the minimum and max from \frac {a}{b} and \frac {c}{d}. Generalize for a_1,\hdots,a_n,b_1,\hdots,b_n \in K with b_1\hdots,b_n >0 so \frac{a_1+\hdots+a_n}{b_1+\hdots+b_n} is between the max and min...