Question

Efectuar las siguientes divisiones.(1/5+1/3+1/2):4/5
(3/2+1/4+5/8+3/16):(-1/4)

Answer 1

1) [1/5 + 1/3 + 1/2] / [4/5] = [(6 + 10 + 15) / 30] / [4/5] = [31/30] / [4/5] = [31*5] / 30*4] =

= 31/24 = 1.2916....

2) [3/2 + 1/4 + 5/8 + 3/16] / [-1/4] = [(24 + 4 + 10 + 3) / 16 ] / [-1/4]= [41/16] / /[-1/4] =

= -[41*4]/[16] =-41/4 = 10.25

Answer 2

(1/5 + 1/3 + 1/2):(4/5)

(1/5 + 1/3 + 1/2) = (6 + 10 + 15) / (30)    ; mcm(5,3,2) = 5*3*2 = 30
                          
                          = 31/30

(31/30):(4/5) = (5*31)/(4*30)
                     = 155/120

simplificando entre 5:

155/120 = 31/24



(3/2 + 1/4 + 5/8 + 3/16): (-1/4)

(3/2 + 1/4 + 5/8 + 3/ 16) = (8*3 + 4*1 + 2*5 + 1*3)/(16);  mcm(2,4,8,16) = 16
 
                                     = (24 + 4 + 10 + 3) / (16)
    
                                    = 41/16

(41 / 16) / (-1/4) = (4)*(41) / (-1)*(16)
                          = (-164)/16

simplificando dividiendo entre 2

(-164 / 16) = -82/8 = -41/4