Question

Zad. 1

Oblicz :

d) 1/2 : [7 - 1 1/2 * (1/2 + 14/28)]

f) {2 1/2 - [(6 1/2 - 4 3/4):(5 - 1/3)+ 3/8]}: 1 5/12

Answer 1

d) 1/2 : [7 - 1 1/2 * (1/2 + 14/28)] = 1/2 : [7 - 1 1/2* (1/2 + 1/2) = 1/2: [7- 1 1/2 * 1= 1/2 : (7 - 1 1/2) = 1/2 : 5 1/2= 1/2 : 11/2 = 1/2 * 2/11 = 2/22 = 1/11

 

f) {2 1/2 - [(6 1/2 - 4 3/4):(5 - 1/3)+ 3/8]}: 1 5/12 = {2 1/2 - [1 5/6 : 4 2/3 + 3/8]} * 12/17 = {2 1/2 - [ 11/6 * 3/14 + 3/8]} * 12/17 = (2 1/2 - 11/28 + 3/8) * 12/17 = (2 56/112 - 44/112 + 42/112) * 12/17 = 1 80/112 * 12/17 = 1 5/7 * 12/17 = 12/7 * 12/17 = 142 / 289

Answer 2

d) 1/2:[7-1 1/2*(1/2+14/28)]=1/2:[7-1 1/2*(14/28+14/28)]=1/2:[7-1 1/2*28/28]=1/2:[7-3/2*28/28=1/2:(7-3/1)=1/2:(7/1-3/1)=1/2:4/1=1/2*1/4=1/8

f){2 1/2 - [(6 1/2 - 4 3/4):(5 - 1/3)+ 3/8]}: 1 5/12 = {2 1/2-[(6 2/4-4 3/4):(5-1/3)+3/8)}={2 1/2-[(5 6/4-4 3/4):(5-1/3)+3/8)}={2 1/2-[1 3/4:(5-1/3)+3/8)}={2 1/2-[1 3/4:(5/1-1/3)+3/8)}={2 1/2-[1 3/4:(15/3-1/3)+3/8)}=2 1/2-[1 3/4:14/3+3/8)}={2 1/2-[1 3/4:14/3+3/8={2 1/3-7/4:14/3+3/8}={2 1/3-7/4*3/1+3/8}=(2 1/3-3/8+3/8)=(2 8/24-9/24+9/24)=1 32/24-9/24+9/24=1 21/24+9/24=1 28/24=2 4/24=2 1/6