Question

Oblicz. Pamiętaj o kolejności wykonywania działań:
a) (2 2/3 x 7/8 - 1 1/2) : 4/9
b) 5 1/6 : [12 x (1 5/6 + 3/4)]

Answer 1

a) (2 2/3 x 7/8 - 1 1/2) : 4/9 = (8/3 x 7/8-3/2) x 9/4 = (7/3-3/2) x 9/4=
=(14/6 - 9/6) x 9/4=5/6 x 9/4 = 15/8 =1 7/8

b) 5 1/6 : [12 x (1 5/6 + 3/4)] = 5 1/6 : [12x(11/6+3/4)]=
=5 1/6 : [12 x (22/12+9/12)]=5 1/6 : [12 x 1/12]= 5 1/6 :1 = 5 1/6

Answer 2

A)
(2 i 2/3 *  7/8 - 1 i 1/2) : 4/9=

= (8/3 * 7/8 - 1 i 1/2) : 4/9=

= (1/3 * 7/1 - 1 i 1/2) * 9/4=

= (7/3 - 1 i 1/2) * 9/4=

= (2 i 1/3 - 1 i 1/2) * 9/4=

= (2 i 2/6 - 1 i 3/6) * 9/4=

= ( 1 i 8/6 - 1 i 3/6) * 9/4=

= 5/6 * 9/4=

= 5/2 * 3/4=

= 15/8=

= 1 i 7/8




b) 5  i 1/6 : [12 * (1 i 5/6 + 3/4)] =

= 5 i 1/6 : [ 12 * ( 1 i 10/12 + 9/12)]=

= 5 i 1/6 : [ 12 * 1 i 19/12]=

= 31/6 : [ 12 * 31/12]=

= 31/6 : [ 1 * 31/1] =

= 31/6 : 31/1=

= 31/6 * 1/31=

= 1/6 * 1/1=

= 1/6