Question

a) 10,3+4,2*1/6-2,5:1/4

b) 8:1,6-(4,5*1i 2/3-3,75)

c) (2+0,6) : 0,1 : (1/12 + 3 i 1/6 )

d) 2 i 2/3 + 1i2/3 * 0,9 : (1,5 - 1/4) : 1/2

e) 20 i 7/15 - 18 i 2/3 + 2,2 : 0,001: 0,05

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Answer 1

a) 10,3+4,2*1/6-2,5:1/4 =

= 10,3 + (42/10)*(1/6) - (5/2):(1/4) =

=  10,3 +  (21/5)*(1/6) - (5/2)*(4/1) =

= 10,3 + 0,7 - 10 =

= 11 -10 =

= 1

 

b) 8:1,6-(4,5*1i 2/3-3,75) =

= 5 - [(9/2)*(5/3) - 15/4 ]=

= 5 - [15/2 -15/4 ] =

= 5 - [ 30/4 - 15/4 ] =

= 5 - 15/4 =

= 5 - 3,75 =

= 1,25

 

c) (2+0,6) : 0,1 : (1/12 + 3 i 1/6 )=

= (2,6)*10 : ( 1/12 + 19/6) =

= 26 : ( 1/12 + 38/12 ) =

= 26 :( 39/12) =

= 26*(12/39) =

= 8

 

d) 2 i 2/3 + 1i2/3 * 0,9 : (1,5 - 1/4) : 1/2 =

= 8/3 +( 5/3 )*(9/10) : ( 3/2 - 1/4) *(2/1) =

= 8/3 +  (3/2): (6/4 -1/4)*(2/1) =

= 8/3 + (3/2)*(4/5) *(2/1) =

= 8/3 + 12/5 =

= 40/15 + 36/15 =

= 76/15 =

= 5 i 1/15

 

e) 20 i 7/15 - 18 i 2/3 + 2,2 : 0,001: 0,05 =

= 307/15 -  56/3 +  (11/5)*1000 * (100/5) =

= 307/15 - 280/15 + 44000 =

= 27/15 + 44000 =

 = 9/5  + 44000 =

= 1,8 + 44000 =

= 44001,8