Question

Calculeaza> (,,/'' este linia fractionara)
h) 1/2 + 2/3 + 3/4 + 5/6 = ?
i) 1/2 + 1/3 + 1/6 + 1/9 + 1/12 = ?
j) 1/2 + 1/4 + 1/8 + 1/16 + 1/32 = ?
k) 1/2 + 1/3 + 1/5 + 1/6 + 1/10 + 1/15 + 1/30 =  ?
+ 1/8 + 3/8 = ???

Answer 1

h) 1/2+2/3+3/4+5/6= 1/2 amplificat cu 12+2/3 amplificat cu 8+3/4 amplificat cu 6+ 5/6 amplificat cu 4= 12/24+ 16/24+18/24+20/24=12+16+18+20 totul supra 24= 66/24 simplificat cu 3=22/8simplificat cu 2=11/4.                                           j) 1/2+1/4+1/8+1/16+1/32= 1/2 amplificat cu 16+ 1/4 amplificat cu 8+ 1/8 amplificat cu 4+1/16 amplificat cu 2+ 1/32= 16/32+8/32+4/32+2/32+1/32=31/32.