x=0,1555...
y=0,151515...
z=0,75
100x = 15,555..
10x = 1,555..
90x = 14
x = 14/90 = 7/45
100y = 15,151515..
y = 0,151515..
99y = 15
y = 15/99 = 5/33
z = 3/4
(x/2y) - z = ( (7/45)/(10/33) ) - 3/4 =
(7/45)*(33/10) - 3/4 =
(7*33/450) - 3/4 = 77/150 - 3/4 = (4*77 - 3*150)/600 = (-142)/600 = -71/300
pronto
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Verified answer
100x = 15,555..
10x = 1,555..
90x = 14
x = 14/90 = 7/45
100y = 15,151515..
y = 0,151515..
99y = 15
y = 15/99 = 5/33
z = 3/4
(x/2y) - z = ( (7/45)/(10/33) ) - 3/4 =
(7/45)*(33/10) - 3/4 =
(7*33/450) - 3/4 = 77/150 - 3/4 = (4*77 - 3*150)/600 = (-142)/600 = -71/300
pronto