Question

Oblicz

A) ((2i 2/7 - 1 i 3/7)* 1 i 1/6+1 i 5/6)*6=?

B) (3 i 7/60- 1 i 7/9)-(1 i 7/36+2 i 7/10)=?

C) ((4 i7/12-2 i 17/36)*4 I 1/2-4 i 1/3*3/26)*1 i 1/9=?

D) 2,25÷0,05- 7 i 1/2*(2,5+2 i 2/3)+1,25=?

Answer 1

Odpowiedź:

a) ((2 2/7 - 1 3/7) * 1 1/6 + 1 5/6) * 6 = ((1 9/7 - 1 3/7) * 7/6 + 1 5/6) * 6 =

= (6/7 * 7/6 + 1 5/6) * 6 = (1 + 1 5/6) * 6 = 2 5/6 * 6 = 17/6 * 6 = 17

b) (3 7/60 - 1 7/9) - (1 7/36 + 2 7/10) = (3 21/180 - 1 140/180)- (1 35/180 +2 126/180)

= (2 201/180 - 1 140/180) - 3 161/180 = 1 61/180 - 3 161/180 = -2 100/180 =

= -2 10/18 = -2 5/9

c) ((4 7/12 - 2 17/36) * 4 1/2 - 4 1/3 * 3/26) * 1 1/9 = ((4 21/36 - 2 17/36) * 9/2 -

- 13/3 * 3/26) * 10/9 = (2 4/36 * 9/2 - 1/2) * 10/9 = (2 1/9 * 9/2 - 1/2) * 10/9 =

= (19/9 * 9/2 - 1/2) * 10/9 = (19/2 - 1/2) * 10/9 = 18/2 * 10/9 = 10

d) 2,25 ÷ 0,05 - 7 1/2 * (2,5 + 2 2/3) + 1,25 = 45 - 15/2 * (2 1/2 + 2 2/3) + 1 1/4 =

= 45 - 15/2 * (2 3/6 + 2 4/6) + 1 1/4 = 45 - 15/2 * 4 7/6 + 1 1/4 = 45 - 15/2 * 31/6 + 1 1/4 = 45 - 5/2 * 31/2 = 45 - 155/4 = 45 - 38,75 = 6,25