Question

Oblicz.
a) 2 i 2/3 - 5 i 1/4 + 0.75 =
b) 1 i 7/12 + 1 i 5/6 - 1/2 : 2/3 =
c) -3.625 - 7 i 3/4 +3 i 1/2 : (-1 i 1/3) =
d) (-2 i 2/3) : (-1 i 1/5) - (5 i 1/18 - 6 i 1/9)=


UŻYLEM TEGO O TO ZNAKU "/" JAKO UŁAMKA BO NIE WIEDZIALEM JAK ZASTĄPIĆ INACZEJ :]

Answer 1

a) 2 2/3 - 5 1/4 + 0,75 =  2 i 2/3 + (-4 i 5/4) + 3/4 = 2 i 2/3 + (-4 i 2/4) = 2 i 2/3 + (-4 i 1/2) = 2 i 4/6 + (-4 i 3/6) = - (3 i 9/6 - 2 i 4/6) = - 1 i 5/6 

b) 1 7/12 + 1 5/6 - 1/2 : 2/3 =1 i 7/12 + 1 i 10/12 - 1/2 * 3/2 = 2 i 17/12 - 3/4 = 2 i 17/12 - 9/12 = 2 i 8/12 = 2 i 2/3

c) -3,625 - 7 3/4 + 3 1/2 : (-1 1/3)= -3,625 - 7,75 + 7/2 * (-3/4) = -11,375 + (-21/8) = -11,375 - 2,625 = - 14

d) (-2 2/3) : (-1 1/5 ) - (5 1/18 - 6 1/9) = (-8/3) : (-6/5) - (5 i 1/18 - 6 i 2/18) = (- 8/3) * (-5/6) - (- 1 i 1/18) = 20/9 + 1 i 1/18 = 40/18 + 1 i 1/18 = 1 i 41/18 = 3 i 5/18