Question

Efectuati:
A) [5 supra 2-24 supra 25x(25 supra 16-3 supra 8)]:6supra 5=?

B)27 supra 10x[3 supra 2-5 supra 6x(3 supra 5-1 supra 15)]=?

C) [( 5 supra 14+2 supra 7)x7 supra 3+11 supra 12]:5 supra 2=?

D)5 supra 7:[16 supra 21-5 supra 27:(7 supra 6-8 supra 9)]

E)2 supra 9x[11supra 2+5 supra 6:(3 supra 5+1 supra 15)]=?

F)[12 supra 5x(19 supra 15-5 supra 4)+3 supra 5]:8 supra 5

Answer 1

a) [5/2 - 24/25 x (25/16 - 3/8)] : 6/5 = [5/2 - 24/25 x (25/16 - 6/16)] : 6/5 = 
   = (5/2 - 24/25 x 19/16) : 6/5 = (5/2 - 57/50) x 5/6 = (125/50 - 57/50) x 5/6 = 
   = 68/50 x 5/6 = 17/15

b) 27/10 x [3/2 - 5/6x(3/5-1/15)] = 27/10 x [3/2 - 5/6 x (9/15-1/15)] = 27/10 x (3/2 - 5/6 x 8/15) = 27/10 x (3/2 - 4/9) = 27/10 x (27/18 - 8/18) = 27/10 x 19/18 = 57/20

c) [(5/14 + 2/7) x 7/3 + 11/12] : 5/2 = [(5/14 + 4/14) x 7/3 + 11/12] : 5/2 = (9/14 x 7/3 + 11/12) x 2/5 = (3/2 + 11/12) x 2/5 = (18/12 + 11/12) x 2/5 = 29/12 x 2/5 = 29/30

d) 5/7 : [16/21 - 5/27 : (7/6 - 8/9)] = 5/7 : [16/21 - 5/27 : (21/18 - 16/18)] = 5/7 : (16/21 - 5/27 : 5/18) = 5/7 : (16/21 - 5/27 x 18/5) = 5/7 : (16/21 - 2/3) = 5/7 : (16/21 - 14/21) = 5/7 : 2/21 = 5/7 x 21/2 = 15/2

e) 2/9 x [11/2 + 5/6 :(3/5 + 1/15)] = 2/9 x [11/2 + 5/6 : (9/15 + 1/15)] = 2/9 x (11/2 + 5/6 : 10/15) = 2/9 x (11/2 + 5/6 x 3/2) = 2/9 x (11/2 + 5/4) = 2/9 x (22/4 + 5/4) = 2/9 x 27/4 = 3/2

f) [12/5 x (19/15 - 5/4) + 3/5] : 8/5 = [12/5 x (76/60 - 75/60) + 3/5] : 8/5 = (12/5 x 1/60 + 3/5) : 8/5 = (1/25 + 3/5) : 8/5 = (1/25 + 15/25) x 5/8 = 16/25 x 5/8 = 2/5